Question

The rectangle shown is dilated by a scale factor of 2.

a) Calculate the length of each side of the dilated image.

b) Draw the new image and label it A’ B’ C’ D’.

Answer 1

The length would be 30 cm and the width would be 16 cm.

Answer 2

Answer with explanation:

It is given that, The Rectangle , A B CD is , Dilated by a scale factor of 2.

Dimension of Pre-Image

Length of Rectangle ABCD=AB=CD=15 cm

Breadth of Recatangle ABCD=AC=BD=8 cm

→Dilation factor = 2

Dimension of Dilated Image

Length of Rectangle A'B'C'D'=A'B'=C'D'=15×2=30 cm

Breadth of Recatangle A'B'C'D'=A'C'=B'D'=8×2=16 cm