Question

Given a triangle with the coordinates X(3,2), Y(15,-1), and Z(-2,3), if this triangle is reflected across both the x- and y-axes, what will be the new coordinates of the reflected triangle's vertices?

Answer 1

To reflect a triangle across the x-axis, keep the x-coordinate the same and change the sign of the y-coordinate. To reflect a triangle across the y-axis, keep the y-coordinate the same and change the sign of the x-coordinate.

Step-by-step explanation:

To reflect a point across the x-axis, we keep the x-coordinate the same and change the sign of the y-coordinate.

To reflect a point across the y-axis, we keep the y-coordinate the same and change the sign of the x-coordinate.

For the given triangle with vertices X(3,2), Y(15,-1), and Z(-2,3), reflecting it across the x-axis will result in the new coordinates X'(3,-2), Y'(15,1), and Z'(-2,-3).

Reflecting it across the y-axis will result in the new coordinates X'(-3,2), Y'(-15,-1), and Z'(2,3).