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 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 translation to Quadrant II, then a rotation 90 degrees counterclockwise translation to Quadrant II, then a rotation 90 degrees counterclockwise rotation 90 degrees clockwise, then a translation of (1, 6) rotation 90 degrees clockwise, then a translation of left parenthesis 1 comma 6 right parenthesis 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 Skip to navigation

Answer 1

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

1. Reflection to Quadrant I
2. Translation to Quadrant II

This sequence involves first reflecting the triangle across the x-axis to move it from Quadrant IV to Quadrant I, and then translating it to Quadrant II. Therefore, the response is:

Reflection to Quadrant I, then a translation to Quadrant II.