Question

Describe the sequence of steps used to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent. (1 point) Responses translation, then transformation translation, then transformation translation, then reflection translation, then reflection rotation, then translation rotation, then translation reflection, then translation

Answer 1

To show that the triangles in Quadrant IV and Quadrant II are congruent through a series of transformations, we can follow these steps:

1. Translation: Move the triangle in Quadrant IV horizontally to the left so that it aligns vertically with the triangle in Quadrant II.

2. Reflection: Reflect the triangle over the y-axis. This step will move the triangle from Quadrant IV into Quadrant II, making it congruent to the original triangle in Quadrant II.

This series of transformations demonstrates that the two triangles are congruent because we used congruent transformations (translation and reflection) that preserve distance and angles.

Therefore, the most fitting response would be translation, then reflection.