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


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

12

Start Fraction 1 over 2 End Fraction

1
1

2
2

13

Start Fraction 1 over 3 End Fraction

Answer 1

Scale factor = 1/2.

Each vertex is half its original coordinates (e.g. A(-2,4) → A'(-1,2)), so the dilation magnitude is 1/2.