Question

Triangle BCD with vertices B(-2, 3), C(8, 7), and D(-1,-5): y = x

B' (-3, 2); C'(7,8); D'(-5,-1)
B' (-3,-2); C'(7,8); D'(-5,-1)
B' (3,-2); C'(7,8); D'(-5,-1)
B' (3,-2); C'(7,-8); D'(-5,-1)

Answer 1

(c) B'(3, -2); C'(7, 8); D'(-5, -1)

Explanation:

Apparently, you want to know the coordinates of B', C', and D' after reflection of B(-2, 3), C(8, 7), and D(-1,-5) in the line y = x.

Reflection

The reflection in the line y = x has the effect of swapping the x- and y-coordinates:

(x, y) ⇒ (y, x)

No sign changes are involved.

The reflected coordinates are ...

B'(3, -2); C'(7, 8); D'(-5, -1)

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