Question

Triangle XYZ is drawn with vertices X(−2, 4), Y(−9, 3), Z(−10, 7). Determine the line of reflection that produces Y′(9, 3).

y = 4
x = −2
y-axis
x-axis

Answer 1

[AI-generated answer — Bot GPT 3.5]

The line of reflection that produces Y′(9, 3) is the x-axis.

When a point is reflected over the x-axis, the y-coordinate remains the same and the sign of the y-coordinate changes. In this case, Y(−9, 3) reflected over the x-axis becomes Y′(9, -3).

Therefore, the line of reflection that produces Y′(9, 3) is the x-axis.