Question

reflect triangle efg across the line $y = x$. plot a point for each vertex.

Explanation:

Step1: Identify Original Vertices

First, find coordinates of E, F, G. From graph:

• \( E(-2, 5) \)
• \( F(-3, 2) \)
• \( G(0, 2) \)

Step2: Apply Reflection Over \( y = x \)

Reflection rule: \( (x, y) \to (y, x) \).

• For \( E(-2, 5) \): New \( E'(5, -2) \)
• For \( F(-3, 2) \): New \( F'(2, -3) \)
• For \( G(0, 2) \): New \( G'(2, 0) \)

Step3: Plot Reflected Points

Plot \( E'(5, -2) \), \( F'(2, -3) \), \( G'(2, 0) \) on the grid.

Answer:

Reflected vertices: \( E'(5, -2) \), \( F'(2, -3) \), \( G'(2, 0) \) (plot these points).