Question

Reflect triangle JKL over the x-axis. J(0,6), K(-3,2), L(3,2).

A) J'(0,-6), K'(-3,-2), L'(3,-2)
B) J'(0,-6), K'(-3,-2), L'(3,-6)
C) J'(0,6), K'(-3,2), L'(3,2)
D) J'(0,6), K'(-3,2), L'(3,6)

Answer 1

To reflect a triangle over the x-axis, invert the y-coordinates of its points. For triangle JKL with vertices J(0,6), K(-3,2), L(3,2), the reflected vertices are J'(0,-6), K'(-3,-2), L'(3,-2), making option A correct.

Step-by-step explanation:

The student's question involves the reflecting of a triangle over the x-axis. To perform a reflection over the x-axis, you simply take each point of the triangle and invert the y-coordinate while keeping the x-coordinate the same.

Utilizing this technique, the point J(0,6) becomes J'(0,-6), the point K(-3,2) becomes K'(-3,-2), and the point L(3,2) becomes L'(3,-2). Therefore, the correct answer is A) J'(0,-6), K'(-3,-2), L'(3,-2).