Describe the series of transformations that have occurred to move the triangle in Quadrant IV to the triangle in Quadrant Il to show that the triangles are congruent. (1 point)

Answer 1

To move the triangle in Quadrant IV to the triangle in Quadrant II, several transformations have occurred.

First, a reflection about the y-axis has taken place. This means that each point in the triangle's original position has been reflected to the opposite side of the y-axis while maintaining the same distance from the y-axis.

Next, a reflection about the x-axis has occurred. This involves flipping the triangle over the x-axis so that each point's y-coordinate changes to its opposite.

Finally, a rotation of 180 degrees counterclockwise has taken place. This rotation flips the triangle over its center point, so that each point's (x, y) coordinates change to (-x, -y).

By applying these three transformations in the given order, we can conclude that the triangle in Quadrant IV is congruent to the triangle in Quadrant II.