Question

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


In the image, triangle ABC
is dilated with reference to the origin to create triangle A′B′C′
. What is the magnitude of dilation?

(1 point)
Triangle ABC
is dilated using a magnitude of
, which results in triangle A′B′C′
.

Answer 1

The dilation factor is 2.

(Each coordinate of A, B, C is multiplied by 2: (2,1)→(4,2), (−1,3)→(−2,6), (−3,−2)→(−6,−4).)