Question

Use the image to answer the question.

Smaller polygon upper A upper B upper C upper D is graphed within larger polygon upper A prime upper B prime upper C prime upper D prime on a coordinate plane.

In the image, polygon ABCD
is dilated to form polygon A′B′C′D′
with respect to the origin. What is the magnitude of dilation?

(1 point)
Responses

3
3

12
Start Fraction 1 over 2 End Fraction

2
2

1

Answer 1

3

Reason: A dilation from the origin multiplies each coordinate by the same scale factor. Pick any corresponding vertex (e.g. A and A′) and divide the A′ coordinates by the A coordinates — you get 3.