Question

The parallelogram's vertices are located as follows: upper A at left parenthesis negative 3 comma 1 right parenthesis, upper B at left parenthesis negative 5 comma negative 1 right parenthesis, upper C at left parenthesis negative 1 comma negative 2 right parenthesis, and upper D at left parenthesis 1 comma 0 right parenthesis.


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

(−3,0)

left parenthesis negative 3 comma 0 right parenthesis

(−4,3)

left parenthesis negative 4 comma negative 3 right parenthesis

(−5,0)

left parenthesis negative 5 comma 0 right parenthesis

(−1,2)

Answer 1

(-4, 3)

Work: vector from center (-2,-1) to A(-3,1) is (-1,2). Scale by 2 → (-2,4). Add to center: (-2,-1)+(-2,4) = (-4,3).