Use the image to answer the question.

Question

2 triangles, upper A upper B upper C and upper C upper D upper E are shown. Both share vertex upper C. Sides upper B upper C and upper C upper D are congruent. Angles upper A and upper E are congruent. Angle upper C is congruent in both the triangles.

What single rigid transformation maps △ABC→△EDC?

(1 point)
Responses

reflection
reflection

rotation
rotation

dilation
dilation

translation

Answer 1

To determine the single rigid transformation that maps triangle \( \triangle ABC \) to triangle \( \triangle EDC \), we can analyze the information given:

1. Both triangles share vertex \( C \).
2. Sides \( BC \) and \( CD \) are congruent.
3. Angles \( A \) and \( E \) are congruent.
4. Angle \( C \) is congruent in both triangles.

Given these properties, we can see that triangles \( ABC \) and \( EDC \) have two angles and the included side congruent. This configuration suggests that the two triangles are related by a reflection across the line bisecting angle \( C \).

Thus, the answer to the question is reflection.