Question

What are the coordinates of triangle abc with vertices a(-3, 2), b(-1, 7) and c(6, 1) after the reflection of the x-axis? group of answer choices

a.a'(-3, -2), b'(1, 7), c'(6, 1)
b.a'(-3, 2), b'(-1, -7), c'(-6, -1)
c.a'(-3, -2), b'(-1, -7), c'(6, -1)
d.a'(-3, -2), b'(1, 7), c'(6, -1)

Answer 1

Upon reflecting the vertices A(-3, 2), B(-1, 7), and C(6, 1) of triangle ABC over the x-axis, the new coordinates are A'(-3, -2), B'(-1, -7), and C'(6, -1), which corresponds to option C.

Step-by-step explanation:

The reflection of a point across the x-axis involves changing the sign of the y-coordinate while keeping the x-coordinate the same. Applying this rule, we reflect the given vertices of triangle ABC with coordinates A(-3, 2), B(-1, 7), and C(6, 1).

For point A(-3, 2), the reflection over the x-axis would be A'(-3, -2).

For point B(-1, 7), after reflection, the coordinates would be B'(-1, -7).

For point C(6, 1), the reflected point would be C'(6, -1).

Therefore, the correct answer is option C: A'(-3, -2), B'(-1, -7), C'(6, -1).