Question

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

Answer 1

Consider a quadrilateral having sides AB=3, BC=5 cm ,CD=6 cm And DA=8 cm.

Now the quadrilateral is dilated by a scale factor of 3.The shape of image will be same as pre image but size will vary means bigger as dilation factor≥1  i.e a quadrilateral.If Dilation factor is , means 0< Dilation factor<1, the image will be smaller than preimage.

If you dilate a shape by a scale factor of k, the

New Length  = k × Original length

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 $As ,\frac{3}{9}=\frac{5}{15}=\frac{6}{18}=\frac{8}{24}\\\\\frac{AB}{A'B'}=\frac{CB}{C'B'}=\frac{CD}{C'D'}=\frac{AD}{A'D'}$

Since sides are proportional, therefore the two Quadrilateral ABCD (image) and quadrilateral A'B'C'D'(pre image) are similar.

Answer 2

Answer:

Step-by-step explanation:

OA'/OA=3/1

3 is the scale factor

By drawing graph and drawing dilation of scale factor 3 cm then,

We can say that corresponding sides are equal