Question

Suppose line g is the line with equation y=x. Given A(7. - 5), B(7,3), and C(-2,- 7), what are the coordinates of the vertices of A'B'C' for the reflection?RoA(Type an ordered pair.)

Answer 1

Reflection of a figure

We want to reflect our figure over the line g, y = x.

In order to find the vertices of the new figure we just need to exchange the variables

A (x, y) → A' (y, x)

A (7, -5) → A' (-5, 7)

B (x, y) → B' (y, x)

B (7, 3) → B' (3, 7)

C (x, y) → C' (y, x)

C (-2, -7) → C' (-7, -2)

Answer: the new vertices are A' (-5, 7), B' (3, 7) and C' (-7, -2)