Question

The x-axis ranges from negative 5 to 7 in increments of 1. The y-axis ranges from negative 3 to 7 in increments of 1. Point upper A has coordinates left parenthesis negative 1 comma negative 1 right parenthesis. Point upper B has coordinates left parenthesis negative 1 comma 1 right parenthesis. Point upper C has coordinates left parenthesis 2 comma 3 right parenthesis. Point upper D has coordinates left parenthesis 2 comma negative 1 right parenthesis. Point upper A prime has coordinates left parenthesis negative 2 comma negative 2 right parenthesis. Point upper B prime has coordinates left parenthesis negative 2 comma 2 right parenthesis. Point upper C prime has coordinates left parenthesis 4 comma 6 right parenthesis. Point upper D prime has coordinates left parenthesis 4 comma negative 2 right parenthesis.


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

12

Start Fraction 1 over 2 End Fraction

3
3

2
2

1

Answer 1

2

Each coordinate of A, B, C, D is multiplied by 2 to get A′, B′, C′, D′ (e.g., (−1,−1) → (−2,−2), (2,3) → (4,6)), so the dilation magnitude is 2.