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.

Question

(1 point)

translation, then transformation

Reflection, then translation

translation, then reflection

rotation, then translation

Answer 1

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

Reflection, then translation

Explanation:

1. Reflection: The triangle in Quadrant IV can be reflected over the y-axis to move it to Quadrant III, which aligns it vertically with the triangle in Quadrant II.
2. Translation: Finally, the triangle can be translated across the x-axis to move it from Quadrant III to Quadrant II.

This sequence shows that the two triangles can be made to coincide, proving their congruence.