Question

Triangle ABC goes through a series of three transformations, resulting in triangle A^ prime B^ prime C^ prime . The three transformations are listed below. Rotation 180clockwise about the origin • a reflection over the x-axis • reflection over the y- axis Triangle ABC has vertex A located at (2, - 3) . Using the coordinates of this point, explain how the three transformations map vertex A onto vertex A^ prime .

Answer 1

After the first rotation

A^ prime = (- 2, 3)

After the next two transformations, A^ = A = (2. -3)

Explanation:

Here we have that

Rotation of 180 °clockwise about the origin will result in the inversion of the vertex point A such that the coordinates will be (- 2, 3)

Reflection over the x axis and a reflection over the y axis combined will revert the triangle back to its initial position

Therefore after the first rotation

A^ prime = (- 2, 3)

After the next two transformations, A^ = A = (2. -3).