{"id":38727,"date":"2023-10-24T10:14:47","date_gmt":"2023-10-24T04:44:47","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=38727"},"modified":"2023-11-10T11:58:39","modified_gmt":"2023-11-10T06:28:39","slug":"construction-of-quadrilaterals","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/construction-of-quadrilaterals\/","title":{"rendered":"Construction of Quadrilaterals | How to Construct a Quadrilateral? | Steps of Construction"},"content":{"rendered":"

Construction Of Quadrilaterals is easy if you have a complete grip on the concept. A quadrilateral is a polygon with 4 sides, 4 angles, and also 4 vertices. When you add the interior angles of a quadrilateral, then you can get 360 degrees. The quadrilateral<\/a> side lengths and angles may different. Depending on the lengths and angles of the sides, you can easily know what is the name of the quadrilateral. You can easily construct a quadrilateral by considering the following criteria.<\/p>\n

(i) 4 sides and 1 diagonal is given.
\n(ii) 3 sides and including 2 angles are given
\n(iii) 2 sides and three angles are given
\n(iv) 3 sided and 2 diagonals are given
\n(v) 4 sides and 1 angle is given<\/p>\n

1. Construct the Quadrilateral when 4 sides and 1 diagonal is given<\/strong>
\nPQ = 5 cm<\/strong>
\nQR = 4.5 cm<\/strong>
\nRS = 3.8 cm<\/strong>
\nPS = 4.4 cm<\/strong>
\nDiagonal PQ = 6 cm<\/strong><\/p>\n

Steps of Construction:
\nFirstly, draw a rough figure of the quadrilateral with the given dimensions.
\n\"construction<\/p>\n

1. Draw a line segment of length 5 cm and mark the ends as P and Q.
\n2. Take the point P as a center and draw an arc by taking the radius 6 cm.
\n3. Next, take point Q as a center and draw an arc by taking the radius 4.5 cm. Mark the point as R where the two arcs cross each other. Join the points Q and R as well as P and R.
\n4. By taking the point P as a center, draw an arc with a radius of 4.4 cm.
\n5. By taking the point R as a center, draw an arc with a radius of 3.8 cm.
\n6. Mark the point as S where the two arcs cross each other. Join the points R and S as well as P and S.<\/p>\n

The final result is the required quadrilateral.
\n\"construction<\/p>\n

2. Construct the Quadrilateral when 3 sides and including 2 angles are given<\/strong>
\nPQ = 3.8 cm<\/strong>
\nQR = 4.2 cm<\/strong>
\nPS = 5.2 cm<\/strong>
\n\u2220QPS = 180\u00ba<\/strong>
\n\u2220PQR = 80\u00ba<\/strong><\/p>\n

Steps of Construction:
\nFirstly, draw a rough figure of the quadrilateral with the given dimensions.
\n\"construction<\/p>\n

1. Draw a line segment of length 3.8 cm and mark the ends as P and Q.
\n2. Take point P as a center and make a point by taking 180\u00ba using a protector.
\n3. Next, take point P as a center and draw an arc by taking the radius 5.2 cm. Mark the point as S where the point and arc cross each other. Join the points P and S.
\n4. By taking the point Q as a center, make a point by taking 80\u00ba using a protector.
\n5. By taking the point Q as a center, draw an arc with a radius of 4.2 cm.
\n6. Mark the point as R where the point and arc cross each other. Join the points Q and R.
\n7. Finally, join the points R and S and draw a line segment.<\/p>\n

The final result is the required quadrilateral.<\/p>\n

\"construction<\/p>\n

3. Construct the Quadrilateral when 3 sides and including 2 angles are given<\/strong>
\nAB = 4.7 cm<\/strong>
\n\u2220ABC = 120\u00b0,<\/strong>
\nBC = 4 cm,<\/strong>
\n\u2220BCD = 100\u00b0, and \u2220BAD = 60\u00b0.<\/strong><\/p>\n

Steps of Construction:
\nFirstly, draw a rough figure of the quadrilateral with the given dimensions.
\n\"construction<\/p>\n

1. Draw a line segment of length 4.7 cm and mark the ends as A and B.
\n2. Take point A as a center and make a point by taking 60\u00ba using a protector.
\n3. Next, take point B as a center and make a point by taking 120\u00ba using a protector. Mark the point as D where the two points are meet at a point. Join the points A and D.
\n4. By taking the point B as a center, draw an arc with a radius of 4 cm.
\n5. Mark the point as C where the point and arc cross each other. Join the points B and C.
\n6. Finally, join the points C and D and draw a line segment.<\/p>\n

The final result is the required quadrilateral.<\/p>\n

\"construction<\/p>\n

4. Construct the Quadrilateral when 3 sided and 2 diagonals are given<\/strong>
\nPQ = 4.2 cm<\/strong>
\nQR = 4 cm<\/strong>
\nPS = 3.2 cm<\/strong>
\nDiagonal PR = 5 cm<\/strong>
\nDiagonal QS = 4.6 cm<\/strong><\/p>\n

Steps of Construction:
\nFirstly, draw a rough figure of the quadrilateral with the given dimensions.
\n\"construction<\/p>\n

1. Draw a line segment of length 4.2 cm and mark the ends as P and Q.
\n2. Take the point P as a center and draw an arc by taking the radius 5 cm.
\n3. Next, take point Q as a center and draw an arc by taking the radius 4 cm. Mark the point as R where the two arcs cross each other. Join the points Q and R as well as P and R.
\n4. By taking the point P as a center, draw an arc with a radius of 3.2 cm.
\n5. By taking the point Q as a center, draw an arc with a radius of 4.6 cm.
\n6. Mark the point as S where the two arcs cross each other. Join the points R and S as well as P and S.<\/p>\n

The final result is the required quadrilateral.
\n\"construction<\/p>\n

5. Construct the Quadrilateral when\u00a04 sides and 1 angle is given.<\/strong>
\nPQ = 4 cm, QR = 3.6 cm, RS = 4.7 cm, PS = 5.2 cm and \u2220B = 80\u00b0.<\/strong><\/p>\n

Steps of Construction:
\nFirstly, draw a rough figure of the quadrilateral with the given dimensions.
\n\"construction<\/p>\n

1. Draw a line segment of length 4 cm and mark the ends as P and Q.
\n2. Take point Q as a center and make a point by taking 80\u00ba using a protector.
\n3. Next, take point Q as a center and draw an arc with a radius of 3.6 cm. Mark the point as R where the two points are meet at a point. Join the points Q and R.
\n4. By taking the point P as a center, draw an arc with a radius of 5.2 cm.
\n5. By taking the point R as a center, draw an arc with a radius of 4.7 cm.
\n6. Mark the point as S where the two arcs cross each other. Join the points P and S, R and S.<\/p>\n

The final result is the required quadrilateral.<\/p>\n

\"construction<\/p>\n","protected":false},"excerpt":{"rendered":"

Construction Of Quadrilaterals is easy if you have a complete grip on the concept. A quadrilateral is a polygon with 4 sides, 4 angles, and also 4 vertices. When you add the interior angles of a quadrilateral, then you can get 360 degrees. The quadrilateral side lengths and angles may different. Depending on the lengths … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[5],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/38727"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=38727"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/38727\/revisions"}],"predecessor-version":[{"id":92604,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/38727\/revisions\/92604"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=38727"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=38727"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=38727"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}