Reflect triangle ABC with respect to the x-axis and the y-axis, what are the vertices of triangle ABC? (Coordinate A is 2,-1. Coordinate B is (6, -3). Coordinate C is (1, -3)

Answer 1

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

Thus, reflecting point A(2, -1) with respect to the x-axis, we get A'(2, 1).

Following the same process, we reflect points B(6, -3) and C(1, -3) with respect to the x-axis, giving us B'(6, 3) and C'(1, 3), respectively.

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

Reflecting point A'(2, 1) with respect to the y-axis, we get A''(-2, 1).

Reflecting points B'(6, 3) and C'(1, 3) with respect to the y-axis, we get B''(-6, 3) and C''(-1, 3), respectively.

Therefore, the vertices of the triangle ABC after reflecting it with respect to the x-axis and y-axis are:
A''(-2, 1)
B''(-6, 3)
C''(-1, 3)