Question

Use the image to answer the 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 reflection translation, then reflection translation, then transformation translation, then transformation reflection, then translation reflection, then translation rotation, then translation

Answer 1

To show that the triangles in Quadrant IV and Quadrant II are congruent through a sequence of transformations, you could typically follow these steps:

1. Translation: Move the triangle in Quadrant IV horizontally to the left so that it aligns with the x-coordinate of the triangle in Quadrant II.
2. Reflection: Reflect the triangle across the y-axis to move it from Quadrant IV to Quadrant II.

This sequence maintains the size and shape of the triangle, demonstrating that the triangles are congruent.

Given the response options, the correct description would be:

translation, then reflection.