Question

Draw a quadrilateral of any measurements.construct a dilation of scale factor 3.measure their corresponding sides and verify whether they are similar.

Answer 1

Thank you for asking this question. Here is your answer.

 First of all we will consider

AB = 3 cm

BC = 5 cm

CD = 6 cm

DA = 8 cm

the sides of a quadrilateral respectively.

 In order to find the new length,  we will use the following formula:

New Length  = k × Original length

And these are the values we will use:

A'B'=9 cm

B'C'=15 cm

C'D'=18 cm

D'A'= 24 cm

3/9 = 5/15 = 6/18 = 8/24

AB/A'B' = CB/C'B' = CD/C'D' = AD/A'D'

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