Question

describe the reflection of △fgh with vertices f(-3, 2), g(-4, -1), and h(-6, -1), to its image △fgh with vertices f(2, -3), g(-1, -4), and h(-1, -6). use decimals, if necessary. (x, y) → ( )

Explanation:

Step1: Analyze coordinate transformation

Given point $F(-3,2)$ and its image $F'(2, - 3)$, $G(-4,-1)$ and its image $G'(-1,-4)$, $H(-6,-1)$ and its image $H'(-1,-6)$. We observe that for each point $(x,y)$, the new coordinates are $(y,x)$.

Step2: Determine the rule

The transformation rule for a point $(x,y)$ to its image is $(x,y)\to(y,x)$. This represents a reflection over the line $y = x$.

Answer:

$(y,x)$