Question

Triangle A B C is drawn with a solid line and has vertices left parenthesis 0 comma 5 right parenthesis, left parenthesis 5 comma 7 right parenthesis, and left parenthesis 7 comma 0 right parenthesis. Triangle A prime B prime C prime is drawn with a dotted line and has vertices left parenthesis 0 comma 2.5 right parenthesis, left parenthesis 2.5 comma 3.5 right parenthesis, and left parenthesis 3.5 comma 0 right parenthesis. The x- and y-axes extend from 0 to 7 in increments of 1.


What type of transformation can map ΔABC→ΔA′B′C′
Δ
𝐴
𝐵
𝐶
→
Δ
𝐴
′
𝐵
′
𝐶
′
?

Answer 1

A dilation (reduction) with center at the origin and scale factor 1/2.

Reason: each vertex (x,y) of ΔABC maps to (x/2,y/2) — e.g. (0,5)→(0,2.5), (5,7)→(2.5,3.5), (7,0)→(3.5,0).