Question

A triangle has side lengths of 4 inches, 5 inches, y + 1 inches. Another triangle has side lengths of 2 inches, x inches, 3 inches.

These two figures are the image and pre–image of a dilation.

Answer 1

X= 2.5

Y= 5

Explanation:

Answer 2

x = 2.5.

y = 5.

Explanation:

As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.

4/2 = 5/x

2 = 5/x

2x = 5

x = 2.5.

Also:

4/2 = (y + 1)/ 3

2 = (y + 1) / 3

y + 1 = 6

y = 5.