Question

find the coordinates of F' after reflection across the line
x = -1 and then across the line
y = -1. Answer in form (a,b). Part 6a​

Answer 1

Answer:  (3,3)

=============================================================

Explanation:

Focus on point F only. Ignore the other points.

Point F is at (-5, -5).

The x coordinate of this point is x = -5

The horizontal distance from x = -5 to the reflection line x = -1 is 4 units. We move 4 units to the right going from x = -5 to x = -1. Move another 4 units to the right to land on x = 3

Point F = (-5, -5) reflects over x = -1 to land on point G = (3, -5) as shown in the diagram below.

Then going from point G to H has us move upward 4 units up to land on the purple line y = -1, then another 4 units up to finally arrive at point H = (3,3). This is also the location of F'.