Question

If figure ABC is reflected across the line x = –3 to create figure A'B'C', which of the following will not be a vertex of figure A'B'C'?

A(-5,5)
B(-2,1)
C(-6,-2)
choices:
A.
(–4, 1)
B.
(–2, –7)
C.
(–1, 5)
D.
(0, –2)

Answer 1

The answer to this question would be: B.(–2, –7)

The result of the reflection would be paired like this:

B(-2,1) = (–4, 1)

A(-5,5) = (–1, 5)

C(-6,-2) = (0, –2)

Explanation:

Answer 2

The answer to this question would be: B.(–2, –7)

When doing reflection with x=-3 the Y coordinate of the each point wouldn't have changed. The Y coordinate of point A=5, B=1 and C=-2. No coordinate have Y value of -7 as the point B option. The result of the reflection would be paired like this:

B(-2,1) = (–4, 1)
A(-5,5) = (–1, 5)
C(-6,-2) = (0, –2)