Question

Draw any quadrilateral ABCD and construct the quadrilateral AB'C'D' similar to the quadrilateral ABCD with each side equal to 4/5th of the corresponding side of quadrilateral ABCD. Write the steps of the construction.

Answer 1

quadrilateral AB'C'D'  is constructed with each side equal to 4/5th of the corresponding side of quadrilateral ABCD

Step-by-step explanation:

Step 1 : Draw any quadrilateral ABCD

Step 2 : Draw an acute angle at AB opposite to line segment CD

Step 3 : Take 5 equal length on acute angle drawn

Step 4 : Join Last 5th With B

Step 5 :  Draw a paralleli line line to lin edrawn in 4th step such that it passes through 4th point in step 3 and cut AB at B'

Step 6 : Repeat step 2 to 6 now taking AD and opposite to BC and get point D'

Step 7 : Draw a line paralell to CD passind through D'

Step 8 : Draw a line parallel to BC passing through B' and cuttting line drawn in step 7 at C'

Step 9 AB'C'D'  is (4/5) of ABCD

quadrilateral AB'C'D'  is constructed with each side equal to 4/5th of the corresponding side of quadrilateral ABCD

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Answer 2

Consyruction 10. Construct a quadrilateral ABCD in which AB = 2.5cm, BC = 3.5cm, AC = 4.2cm, CD = 3.5cm and AD = 2.5cm. Construct another quadrilateral AB'C'D' with diagonal AC' = 6.3cm such that it is similar to quadrilateral ABCD.