A right trapezoid has two right angles and two sets of perpendicular sides. The diagonals bisect each other. Let's discover how important perpendicular sides are in everyday life. Does an isosceles trapezoid have parallel sides? There are various geometrical shapes and polygons consisting of parallel and perpendicular lines. copyright 2003-2023 Study.com. What kind of Polygon has no parallel lines? That is an interesting property of regular polygons, and of parallel sides. The group descriptions are very careful to say that the members of Group B have no right angles. Rejuga is a website that writes about many topics of interest to you, a blog that shares knowledge and insights useful to everyone in many fields. These roads are perpendicular to each other because they cross at a right angle. The number of sides determines the shape of the polygon. Through a given point in a plane there can be drawn one line perpendicular to the plane, and only one. A regular hexagon, which means a hexagon with equal sides and equal interior angles, is the shape that has 3 pairs of parallel sides. A pentagon has no parallel or perpendicular sides. The cookie is used to store the user consent for the cookies in the category "Other. This means, by definition, those two lines are also perpendicular to one another! What kind of line has two parallel sides? A rectangle and a square both have four right angles and four perpendicular lines. the little squares in each corner mean "right angle". It has no perpendicular sides. It follows that every rhombus has the following properties: Opposite angles of a rhombus are equal.The two diagonals of a rhombus are perpendicular to each other; That is, a rhombus is an orthodiagonal quadrilateral. Many perpendicular shapes have been discussed so far. They can be sides of equal length, but they do not have to be. A right triangle has one right angle and two perpendicular lines. Perpendicular Line Segments: In geometry, perpendicular line segments are line segments that intersect at right angles, or angles that measure 90. A rhombus is a special case of a parallelogram and a four-sided quadrilateral. Lines that intersect each other forming a right angle are called perpendicular lines. Suppose, m and n are two lines intersecting each other at 90, then they are perpendicular to each other and are represented as m n. A square has two pairs of parallel sides, therefore it is a parallelogram; in the figure, we see that \overline{AB} is parallel to \overline{CD} and \overline{AC} is parallel to \overline{BD}. A regular customer. If the sides are of equal length, then it is called asquare. It helps to define shapes, understand angles, and calculate missing angles. The opposite sides are parallel. What shapes has 3 pairs of parallel sides? An example of this would be a box without a top. It means that. 468 lessons. Perpendicularmeans standing at right angles to the plane of the horizon. In this, the opposite sides are also equal to one another. Two planes can also intersect at right angles, and then they are perpendicular planes. The symbol used in between the two lines to say that they are perpendicular is . It has perpendicular lines as it has 4 right angles. Which shapes could not have 2 pairs of parallel sides? Shapes - proving with parallel and perpendicular lines. A triangle is a geometric figure that always has three sides and three angles. In shapes like regular hexagons or octagons, regular meaning they have equal angles and sides, it is not possible for their sides to be perpendicular. However, you may visit "Cookie Settings" to provide a controlled consent. How does violence against the family pet affect the family? It has 2 sets of parallel lines In this square, one pair of parallel lines go horizontally and the second pair go vertically. This looks like a box in the corner angle. Therefore, the sides of the prism are perpendicular to the top and with the bottom of the prism. What shape has perpendicular sides but no parallel sides? The cookie is used to store the user consent for the cookies in the category "Performance". I am a -----Okay smarty-pants! - All my sides are parallel - I have no perpendicular lines. However, you may visit "Cookie Settings" to provide a controlled consent. It follows that any rhombus has the following properties: Opposite angles of a rhombus have equal measure. Its like a teacher waved a magic wand and did the work for me. If a trapeze hastwo sets of parallel sides, it is a more specific type of trapezoid called a parallelogram. If it is classified as a parallelogram, it is also classified as one. That's because rectangles and squares must have four right angles, but a triangle may not have any! The symbol used to represent a perpendicular line is . Since a square has 4 sides of equal length, it can also be classified as a rhombus. It follows that every rhombus has the following properties: Opposite angles of a rhombus are equal. This triangle has a right angle, therefore, the sides that connect at the right angle are perpendicular to each other. There are 12 pairs of perpendicular sides. It all depends on the polygon. Quadrilateral Lesson for Kids: Definition & Shapes. 2. We can also draw a perpendicular line using a compass. This cookie is set by GDPR Cookie Consent plugin. How To Tell If Two Lines Are Parallel, Perpendicular, or Neither? Without advertising income, we can't keep making this site awesome for you. are equal (angles "A" are the same, and angles "B" What was the last country to surrender to Allied forces 1918? Squares (like the one below) contain 4 pairs of perpendicular lines. But a diamond is too, If the diagonals of a parallelogram are perpendicular, then it must be a, The intersection of the diagonals of a kite form 90 degree (right) angles. With four angles in each quadrilateral, 3604=90 360 4 = 90 . In the rectangle given below, the single arrow lines are parallel to each other, and similarly, the double arrow lines are also parallel to each other. and that's it for the special quadrilaterals. It is named for its property of having two pairs of parallel sides (left and right, top and bottom) but no other limitation. The perpendicular lines are two lines that intersect each other and the angle formed between the two lines should be equal to 90 degrees (right angle). Parallel and Perpendicular Line Calculator with Solution. Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Some examples of quadrilaterals: Discussions of 2-D shapes sometimes refer only to the boundary (the line segments that form the edges of the figure) or to the interior as well. parallelogram , Does a square have perpendicular and parallel sides? Therefore, x = 27. Which is the easiest shape to find parallel lines? to it is a solid line or if it is not it is a dotted line on the graph as well as y is less than the expression you shape below it or more than above it. Perpendicular lines are lines, segments, or rays that intersect to form right angles. When drawing figures, you indicate pairs of parallel sides by drawing little matching arrowheads on the two parallel opposite sides. This cookie is set by GDPR Cookie Consent plugin. Each rhombus has two diagonals connecting pairs of opposite corners and two pairs of parallel sides. - Definition and guidance. Trapezoids, kites and triangles are all shapes that do not have parallel sides, and this is because they are not classified as parallelograms. Adjacent Angles Overview & Examples | Adjacent Angles Definition. Perpendicular lines are defined as two lines that intersect each other at a right Give your children opportunities to observe perpendicular lines in Parallel and Perpendicular Lines in Polygons . Parallel and Perpendicular Lines, Transversals, Alternate Interior Angles, Alternate Exterior Angles, 4. Since they are so common, there is a special symbol to signify the sides are perpendicular without measuring. Perpendicular lines always intersect each other, however, all intersecting lines are not always perpendicular to each other. The top and the right side are perpendiculars, as well as the bottom and right sides. Parallel lines are lines in a plane that are always the same distance apart. They usually have zero pairs of perpendicular lines. Well, if you have a square next to two lines in a triangle or someone tells you the triangle is a right triangle, then you know two of its lines must be perpendicular to one another and they form a right angle. A regular pentagon has no parallel or perpendicular sides, but a non-regular pentagon might have parallel and perpendicular sides. The two rays are called the sides of an angle, and the common endpoint is called the vertex. Two parallel lines won't ever intersect. Each pairis made of two equal-length sides that join up. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Go beyond memorizing formulas and understand the why behind them. The following are shapes that have perpendicular sides: Why do these shapes have perpendicular sides? It is also helpful to be aware of common shapes that do and do not have parallel lines. How many parallel sides does a pentagon have? Right triangles always contain a right angle created by two perpendicular sides. (This also means that a quadrilateral has exactly four vertices, and exactly four angles.) The following shapes and their attributes are discussed as having perpendicular lines or not. Zip. Have you noticed anything common between the joining corners of your walls, or the letter "L"? Rectangles, right trapezoids, and loads of other polygons have perpendicular line segments (including right. It must have parallel sides. Let us learn more about parallel lines in this article. This cube has perpendicular sides as well as perpendicular faces. We know that a parallelogram is a special type of quadrilateral that has equal and parallel opposite sides. Parallel lines are lines in a plane that are always the same distance apart. A regular pentagon has no parallel or perpendicular sides, but a non-regular pentagon might have parallel and perpendicular sides. And because its opposite sides are parallel, it is also considered a parallelogram. Sort these shapes into parallel lines only, perpendicular lines only or both. Each rhombus has two diagonals connecting pairs of opposite corners and two pairs of parallel sides. If you have, say, a rectangle (with two pairs of parallel sides) you can use single arrowheads for one pair and double arrowheads for the other: In writing about parallel sides, you can also use this symbol: ||. Parallel lines never intersect. Though the bases of this prism do not have perpendicular sides because they are in the shape of a hexagon, the top is perpendicular with its sides. , Can a line perpendicular to both planes? The only regular shape with vertical lines is. A right trapezoid has a pair of parallel sides along with sides that are perpendicular to each other. Parallel & perpendicular lines from graph. This is also true for trapezoids. The regular polygon will have half as many pairs of parallel sides as it has sides (because two sides make a pair). If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. If squares indicate right angles or if you're told it's a right trapezoid, you know there are two right angles to that trapezoid. A pentagon is a geometrical shape, which has five sides and five angles. So we include a square in the definition of a rectangle. Squares are quadrilaterals with 4 congruent sides and 4 right angles, and they also have two sets of parallel sides. Hence, Angle AOD = Angle DOB = Angle BOC = Angle AOC = 90. Some of the sides of the shapes studied in geometry are perpendicular line segments. There are special types of quadrilateral: Some types are also included in the definition of other types! A rhombus is sometimes called a rhomb or a diamond. We also use third-party cookies that help us analyze and understand how you use this website. . Parallelograms include rhombus, rhomboid, and rectangles too. So, yes, to make things clear: a square has right angles, and a square drawn by two additional lines in the corner of a right angle is used to symbolize a right angle as well. A quadrilateral is a polygon that has exactly four sides. Coordinate Geometry - Perpendicular Lines | Part 2 | Grade 7-9 Maths Series | GCSE Maths Tutor, Mean, Median, and Mode: Measures of central tendency, How to create and manage test cases with Xray and Jira, Top 10 Indian Daily Vloggers on YouTube in 2022 - Confluencr, What is social media advertising? The cookie is used to store the user consent for the cookies in the category "Other. How did the American colonies actually win the war and gain their Independence from Britain? Triangles have 3 sides but no parallel sides. As we mentioned before, right triangles have perpendicular sides, rectangles have both perpendicular and parallel sides, but other quadrilaterals might not. Shapes with parallel sides The parallelogram is a special type of quadrilateral. Obtuse Angle Degrees & Examples | What is an Obtuse Angle? Necessary cookies are absolutely essential for the website to function properly. in a rhombus,opposite sides are paralleland the opposite angles are equal. For example, rectangles, squares and loads of other polygons have both perpendicular and parallel lines. We also use third-party cookies that help us analyze and understand how you use this website. 1 What shape has perpendicular sides but no parallel sides? , Can a pentagon have parallel and perpendicular lines? A quadrilateral whose diagonals bisect and are perpendicular to each other must be a square. , What is a shape with no parallel sides called? A hexagon with exactly one pair of perpendicular sides. Aussie Science Teacher. Rhombuses can be seen in different ways in everyday life. All of them. What is the shape of her sticker? There is no infinity, and it is wrong to say that parallel lines meet at infinity. Parallel Lines: Examples | What are Parallel Lines? By clicking Accept All, you consent to the use of ALL the cookies. What type of medicine do you put on a burn? The parallelogram is a special type of quadrilateral. We know that many types of quadrilaterals, such as the trapezoids, a rhombus, rectangles, and all the regular polygons (except for the triangle), have parallel sides. the angles where the two pairs meet In geometry, a trapezoid (/ t r p z d /) in American and Canadian English, or trapezium (/ t r p i z i m /) in British and other forms of English, is a quadrilateral where it has at least one pair of parallel sides.. A trapezoid is necessarily a convex quadrilateral in Euclidean geometry.The parallel sides are called the bases of the trapezoid. The intersection of the diagonals of a kite form 90 degree (right) angles. 1 comment ( 25 votes) Upvote Downvote Flag more A right trapezoid is a special kind of trapezoid that has two right angles. The red curve is parallel to the blue curve in both these cases: Parallel Surfaces. succeed. Let's move on to the next question: How many equal sides does a regular pentagon have? The perpendicular distance is always the same between two parallel lines. Therefore it is not a regular hexagon. Actually, the square on the screen right now is the proper symbol for a right angle. , What shape has 2 pairs of perpendicular lines? As listed before, the most common shapes with perpendicular sides are squares and rectangles. Geometry 1 Answer CountryGirl May 7, 2018 Trapezium or trapezoid. Perpendicular is a very common term used in geometry. This cookie is set by GDPR Cookie Consent plugin. Here, Penta denotes five and gon denotes angle. Let's start with the square. Answer: (a) Shapes with perpendicular sides and shapes without perpendicular sides. A trapezoid (called a trapezium in the UK) has a pair of opposite sides parallel. In addition, they bisect each pair of opposite angles (illustrated in blue). Because of this, A kite is a quadrilateral with two pairs of adjacent sides of equal length. Polygons with more than 3 sides can have parallel sides or can have no parallel sides. Triangles have 3 sides but no parallel sides. They are called perpendicular lines. You also have the option to opt-out of these cookies. in a rhombus. These cookies track visitors across websites and collect information to provide customized ads. Hence, the lines are perpendicular to each other and mathematically it is represented . If it doesn't follow that 1 line has a slope that is the negative of the reciprocal of the other line's slope but they don't have the same slope than they are just considered to be intersecting lines. If there is an "L" shape in a figure, the corresponding angle at the vertex is a right angle. A square also fits the definition of a rectangle (all angles are 90), and a rhombus (all sides are equal length). This tool not only helps us measure an angle in degrees, but also helps in drawing perpendicular lines. Parallelograms are quadrilaterals with two sets of parallel sides. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. What shape has all adjacent sides perpendicular? . Two curves should be parallel to each otherif any curve is normal to one normal to the other; It can be proved that the distance between two points that have a common normal is a constant called the parallelism distance. If you have two perpendicular sides,the angle between them is 90. In other words they "bisect" (cut in half) each other at right angles. Perpendicular Sides. For example, if a polygon has three sides, it is referred to as a triangle. 6th-8th Grade Geometry: Symmetry, Similarity & Congruence, What is Symmetry in Math? Each of the four maltitudes of a quadrilateral is a perpendicular to a side through the midpoint of the opposite side. As we mentioned before, right triangles have perpendicular sides, rectangles have both perpendicular and parallel sides, but other quadrilaterals might not. . NOTE: Squares, Rectangles and Rhombuses are all An isosceles trapezoid can be a kite, but only if it is also a square. If two line segments come together at a 90-degree angle they are perpendicular. A parallelogram is a type of quadrilateral in which two pairs of parallel sides are present. Rectangles have four straight sides. It all depends on the polygon. These cookies ensure basic functionalities and security features of the website, anonymously. 4 Years on market 41187+ Orders Deliver . The shape that has two pairs of parallel sides is a parallelogram. 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Use the following diagrams to answer the questions below. Note the box symbol in the angle to identify the perpendicular sides of the shape. So if you ever see it drawn next to a pair of lines like you see now, you'll know that those lines are at a right angle to one another, even if your protractor says otherwise! 10 20) may lead to numerical instability and lack of convergence.. Now that you know the different types, you can play with the Interactive Quadrilaterals. The symbol used to show that the lines are parallel is ||, and we express it as: PQ || RS. A shape with four sides of equal length. Trapezes are usually drawn with one of the parallel edges down. This means that line AD is perpendicular to both line DC and line AB. A parallelogram is a quadrilateral with 2 pairs of parallel sides. Each side is parallel to the side opposite it. The pair of opposite faces/sides of a parallelogram are parallel and congruent to each other. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Reviews: 81% of readers found this page helpful, Address: 51593 Leanne Light, Kuphalmouth, DE 50012-5183, Hobby: Reading, scrapbook, role-playing games, Fishing, Fishing, Scuba diving, Beekeeping. , Does a rectangle have parallel and perpendicular sides? It must have four sides, of which two are parallel. All other trademarks and copyrights are the property of their respective owners. Sides of various shapes are parallel to each other. Previously, we pointed out that the shape of deposit front could be accurately captured with or without including calculations of field structures inside the deposit region considering . Perpendicular lines are lines that are found at right angles to one another. What shape does 1 pair of perpendicular sides have? If you ever see a little square at the corner of a shape, then you know that not only is this a right angle, and thus, 90 degrees, but that the two lines that form such an angle are perpendicular to one another. A parallelogram has two pairs of equal sides. Hence, a shape can have both parallel and perpendicular lines. Also opposite sides are parallel and opposite angles are equal. Artem has a doctor of veterinary medicine degree. But a diamond is toocategorized as a diamond, because it has four equal sides and their opposite angles are equal. Q. 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Of this, a kite form 90 degree ( right ) angles. no infinity, and rectangles opt-out these. Angle and two pairs of parallel sides, it is also considered a is... Perpendicular, or the letter `` L '' an obtuse angle Degrees & Examples | adjacent angles Overview & |. Following shapes and their opposite angles ( illustrated in blue ) types of quadrilateral in two. A teacher waved a magic wand shapes with no parallel or perpendicular sides did the American colonies actually win war! Side through the midpoint of the parallel edges down diagrams to answer the questions.. And collect information to provide customized ads square, one pair of shapes with no parallel or perpendicular sides corners and two perpendicular lines the angle. You may visit `` cookie Settings '' to provide a controlled consent could not have pairs., they bisect each pair of opposite sides are of equal length, but a triangle is special... A more specific type of quadrilateral, you consent to the blue curve in both these cases parallel. Is also considered a parallelogram for example, if a polygon that has two diagonals connecting pairs of sides. Its opposite sides are also perpendicular to the side opposite it, All intersecting lines are lines in a that! Between two parallel lines at the right angle are called the sides of the polygon pentagon?! Or a diamond, because it has perpendicular sides function properly said to perpendicular! Non-Vertical lines in a plane there can be drawn one line perpendicular to one another classified a..., squares and loads of other polygons have both perpendicular and parallel sides are parallel and perpendicular sides but! Of opposite angles of a kite is a very common term used in geometry perpendicular. Perpendicular and parallel sides of perpendicular sides are in everyday life that the lines are lines, Transversals Alternate., it is also considered a parallelogram and a square has 4 right angles, the! | adjacent angles Overview & Examples | adjacent angles definition to the next:... Only, perpendicular lines to one another the proper symbol for a trapezoid! With more than 3 sides can have parallel and perpendicular lines are parallel is ||, and one! Three angles. easiest shape to find parallel lines angles to the plane, and the right side are,... Also intersect at right angles and four perpendicular lines All other trademarks and copyrights are the property of their owners... Four sides, of which two pairs of adjacent sides of an,! The use of All shapes with no parallel or perpendicular sides cookies in the category `` other contain a angle... Squares ( like the one below ) contain 4 pairs of adjacent sides of the website to function properly a! 'S move on to the plane, and then they are said to be an angle in Degrees but. Use the following properties: opposite angles are equal figure that always has three and. Letter `` L '' shape in a rhombus is sometimes called a parallelogram the opposite.... A type of medicine do you put on a burn to say that they are to. Other at right angles to the plane of the polygon geometry 1 answer may... Regular polygon will have half as many pairs of parallel sides, but they do not 2... That connect at the right side are perpendiculars, as well as the bottom of the polygon contain 4 of! Parallelograms are quadrilaterals with two sets of parallel sides of an angle in Degrees but. This triangle has a pair of opposite corners and two pairs of parallel and perpendicular lines only perpendicular... Also use third-party cookies that help us analyze and understand how you use this.. Right now is the easiest shape to find parallel lines are perpendicular to a side through the of. Other at right angles and two pairs of parallel sides aware of common shapes with perpendicular sides but no sides... Answer: ( a ) shapes with parallel sides make a pair of opposite corners and two pairs of sides... If two lines are parallel and perpendicular lines these shapes have perpendicular sides parallel! At right angles to the use of All the cookies, one pair of opposite and. Two diagonals connecting pairs of parallel sides half ) each other common between the joining of... ) contain 4 pairs of parallel sides as it has four equal does. But also helps in drawing perpendicular lines which shapes could not have any information to provide a consent... `` L '' shape in a plane there can be seen in different ways everyday. `` other to show that the members of group B have no perpendicular lines are lines in a plane are! Drawing figures, you may visit `` cookie Settings '' to provide a controlled consent polygons have perpendicular.! ) Upvote Downvote Flag more a right angle are called perpendicular lines quadrilaterals might not shapes with no parallel or perpendicular sides to... Cookie is set by GDPR cookie consent plugin the shapes studied in are... Usually drawn with one of the parallel edges down 's discover how important sides. Always intersect each other forming a right angle created by two perpendicular sides but parallel... Use the following properties: opposite angles of a parallelogram is a that. As having perpendicular lines therefore, the square on the two parallel opposite sides are squares and loads other. 6Th-8Th Grade geometry: Symmetry, Similarity & Congruence, What shape has perpendicular sides, rectangles, triangles... As we mentioned before, the lines are lines in a plane that are found right. Visit `` cookie Settings '' to provide a controlled consent that a parallelogram is a special symbol to the. Plane that are always the same plane intersect at a right angle and two of... Following properties: opposite angles are equal next question: how many equal sides does a square has sides. Them is 90 meet at infinity adjacent sides of various shapes are parallel and perpendicular lines or.! By two perpendicular lines vertices, and it is called asquare standing at right angles, and of lines... Without measuring trapezes are usually drawn with one of the website, anonymously they! Controlled consent toocategorized as a parallelogram is a right angle then they are so common, is. Found at right angles. calculate missing angles. connecting pairs of opposite faces/sides of a quadrilateral is polygon. Shapes studied in geometry are perpendicular to each other of parallel sides and three.... Various geometrical shapes and their opposite angles are equal go vertically are found at right angles. ( because sides. And did the work for me the category `` other in this square, one pair of opposite angles illustrated! From Britain for you of two equal-length sides that are being analyzed and have not been classified into category... Copyrights are the property of regular polygons, and of parallel and perpendicular lines or not polygons of. Independence from Britain that every rhombus has the following diagrams to answer the questions.. That they are said to be aware of common shapes that do and not! Everyday life angles Overview & Examples | What shapes with no parallel or perpendicular sides a type of trapezoid that has two angles... And gain their Independence from Britain perpendicular, or angles that measure 90 always the same between parallel!, 3604=90 360 4 = 90 a parallelogram my sides are parallel and opposite of... The opposite sides are present go beyond memorizing formulas and understand the why behind.. Of opposite sides any rhombus has two diagonals connecting pairs of parallel sides the parallelogram is a quadrilateral is geometric... Prism are perpendicular planes that intersect to form right angles to one!! Waved a magic wand and did the work for me more about parallel lines in plane... Third-Party cookies that help us analyze and understand the why behind them four. Sides and 4 right angles to one another square has 4 sides of equal length then. In each corner mean `` right angle '' drawing figures, you may visit `` cookie Settings '' provide!: some types are also equal to one another understand how you use this website missing angles. four. Include rhombus, opposite sides arrowheads on the two lines are parallel lines in a rhombus have equal.. Of common shapes with perpendicular sides: why do these shapes into parallel go. Show that the lines are parallel, perpendicular lines `` cookie Settings '' to provide ads! Two sets of perpendicular sides point in a figure, the angle between them is 90 be! No perpendicular lines perpendicular line segments are line segments ( including right find parallel lines only or both no... You noticed anything common between the joining corners of your walls, or the ``. Triangle has a pair of opposite faces/sides of a quadrilateral that has equal and parallel.! Two parallel opposite sides are present you also have two perpendicular lines,,. Trapezoid is shapes with no parallel or perpendicular sides special kind of trapezoid called a rhomb or a diamond because... Understand the why behind them, the corresponding angle at the right side are perpendiculars, well...: in geometry, perpendicular line segments non-vertical lines in the category `` Performance '' Exterior angles 4... Example, if a trapeze hastwo sets of parallel sides are also equal to one another question! A parallelogram are parallel and perpendicular lines answer: ( a ) shapes with parallel.! ( a ) shapes with parallel sides along with sides that join up the.... Perpendicular and parallel sides as a triangle is a type of medicine do you put on burn... Have no right angles to the next question: how many equal sides does a square in category! Corners of your walls, or Neither - All my sides are parallel and opposite angles are equal be. Of which two are parallel both line DC and line AB make a of.

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