Question

Use the image to answer the question. What is 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 to Quadrant II, then a rotation 90 degrees counterclockwise translation to Quadrant II, then a rotation 90 degrees counterclockwise reflection to Quadrant III, then a translation of (−1, 6) reflection to Quadrant III, then a translation of left parenthesis negative 1 comma 6 right parenthesis reflection to Quadrant I, then a translation of (3, 2) reflection to Quadrant I, then a translation of left parenthesis 3 comma 2 right parenthesis rotation 90 degrees clockwise, then a translation of (1, 6)

Answer 1

To move the triangle in Quadrant IV to the triangle in Quadrant II and show that the triangles are congruent, the sequence of steps would be:

Translation to Quadrant II, then a rotation 90 degrees counterclockwise.

This sequence reflects moving the triangle to the correct quadrant and then correctly aligning its orientation, which indicates congruence.