Question

Use the image to answer the question.

A coordinate plane's x-axis ranges from negative 6 to 2 and its y-axis ranges from negative 3 to 2, both by 1-unit increments. 4 points forming a parallelogram are plotted, labeled upper A, upper B, upper C, and upper D, respectively.

Suppose parallelogram ABCD
is dilated using a magnitude of 2 and a center of dilation at (−2,−1)
. What would be the corresponding ordered pair at point A
?

(1 point)
Responses

(−5,0)
left parenthesis negative 5 comma 0 right parenthesis

(−3,0)
left parenthesis negative 3 comma 0 right parenthesis

(−4,3)
left parenthesis negative 4 comma negative 3 right parenthesis

(−1,2)

Answer 1

Original A is at (-3, 1). Use P' = C + 2(P - C) with C = (-2,-1):

x' = -2 + 2(-3 - (-2)) = -2 + 2(-1) = -4
y' = -1 + 2(1 - (-1)) = -1 + 2(2) = 3

So the image of A is (-4, 3).