Question

what is the reflection rule for the triangle and image with coordinates a(2,4), b(4,5), c(5,3) and a(-2,4), b(-4,5), c(-5,3)? the reflection rule is r_m(abc)→ where m is the line . (type an equation. simplify your answer.)

Explanation:

Step1: Analyze coordinate changes

The x - coordinates of points A, B, C change sign while the y - coordinates remain the same.

Step2: Determine reflection line

When the x - coordinates change sign and y - coordinates stay the same, the reflection is over the y - axis. The reflection rule for a point (x,y) over the y - axis is (x,y)→(−x,y).

Answer:

$r_y(A,B,C)\to(-A,-B,-C)$ where $y$ is the y - axis.