Describe the series of transformations that have occurred to move the triangle in Quadrant IV to the triangle in Quadrant II to show that the triangles are congruent.(1 point)

Question

Responses

reflection, then translation
reflection, then translation

translation, then rotation
translation, then rotation

rotation, then reflection
rotation, 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, let's analyze the possible series of transformations:

1. Reflection: A reflection across the y-axis would move a triangle from Quadrant IV to Quadrant III. This does not get us to Quadrant II yet but is part of the process.

2. Translation: After reflecting the triangle to reach Quadrant III, you can translate the triangle leftward across the y-axis to move it into Quadrant II.

Thus, the most appropriate series of transformations to move the triangle from Quadrant IV to Quadrant II is "reflection, then translation." This indicates that the triangles can be made congruent through these transformations.

So, the correct response is: reflection, then translation.