Question

Use the image to answer the question.

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

In the image, parallelogram ABCD
is dilated in reference to the origin to form parallelogram A′B′C′D′
. What is the magnitude of dilation?

(1 point)
Responses

13
Start Fraction 1 over 3 End Fraction

12
Start Fraction 1 over 2 End Fraction

1
1

2
2

Answer 1

I can't see the image you referenced. Could you either upload it here or type the coordinates of one pair of corresponding vertices (for example A and A′ or B and B′)?

How to find the dilation factor yourself:
- Pick a vertex not at the origin (say A = (x, y) and A′ = (x′, y′)).
- The scale factor k = x′/x = y′/y (both ratios should be equal).
- Or compute distances from the origin: k = distance(0,0 to A′) / distance(0,0 to A).

If you give one pair of coordinates I’ll compute k and pick the correct answer from the choices.