Question

Given Triangle MNP with vertices M(-6, -8), N(-1, -6), and P(-2, -8) on the line y = -5, find the coordinates of M', N', P' after a reflection.

a) M'(-6, 5), N'(-1, 6), P'(-2, 5)
b) M'(-6, -5), N'(-1, -6), P'(-2, -5)
c) M'(-6, -5), N'(-1, -6), P'(-2, -8)
d) M'(-6, 5), N'(-1, 6), P'(-2, -8)

Answer 1

To find the coordinates of the reflected points, determine the line of reflection as y = -5. Then, reflect the given points onto the other side of the line.

Step-by-step explanation:

To find the coordinates of the reflected points, we need to determine the line of reflection. Since Triangle MNP lies on the line y = -5, the line of reflection would be the same line.

The line of reflection can be thought of as a mirror, with any point on one side being reflected onto the other side of the line. In this case, the points M(-6, -8), N(-1, -6), and P(-2, -8) will be reflected onto the other side of the line y = -5.

Reflecting M(-6, -8) gives M'(-6, 5), reflecting N(-1, -6) gives N'(-1, 6), and reflecting P(-2, -8) gives P'(-2, 5).