Question

The vertices of AKLM are K(-5, 5), L(2, 0), and M(-2, -4). What are the coordinates of the vertices of K'L'M', its reflection across the y-axis?

a) K'(5, 5), L'(-2, 0), and M'(-2, 4)
b) K'(-5, -5), L'(2, 0), and M'(2, -4)
c) K'(-5, -5), L'(-2, 0), and M'(2, 4)
d) K'(5, -5), L'(0, 2), and M'(-4, -2)

Answer 1

The reflected vertices of triangle AKLM across the y-axis are K'(5, 5), L'(-2, 0), and M'(2, -4).

Step-by-step explanation:

The student is asking about the reflection of a triangle across the y-axis. To find the reflection of points across the y-axis, you change the sign of the x-coordinate of each point, but keep the y-coordinate the same. Given the original coordinates K(-5, 5), L(2, 0), and M(-2, -4), the coordinates of the reflected points K'L'M' will be K'(5, 5), L'(-2, 0), and M'(2, -4), because we only invert the sign of the x-coordinates while the y-coordinates remain unchanged.