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

Given, Dilation of scale factor = 3

Let’s draw a square with each side = 3 cm

Now on dilating the square using scale factor = 3, then

Each side of the square becomes =

cm

We know that two figures are similar if their angles are same.

In the two squares drawn above we know that each angle = 90

Hence, both the figures are similar.

Answer 2

Step-by-step explanation:

the quadrilateral is dilated by a scale factor of 3. ... Now, After dilation Sides of quadrilateral becomes, A'B'=9 cm,B'C'=15 cm,C'D'=18 cm,D'A'= 24 cm. As you can see. Since sides are proportional, therefore the two Quadrilateral ABCD (image) and quadrilateral A'B'C'D'(pre image) are similar.