Question

DO,H = (7, 9) (14, 18) The scale factor is _____. 1/2 2 4 7/9

Answer 1

ANSWER

The scale factor is 2.

EXPLANATION

The point H(7,9) is dilated about the origin and the image is (14,18).

Let the scale factor be k.

Then,

$(7,9)\to (7k,9k)$

Comparing to the given image, we have:

$(7k,9k) = (14,18)$

This implies that,

$7k = 14$

Divide by 2

$k = 2$

Or

$9k = 18$

$k = 2$