Use the image to answer the 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)Responsesdilationdilationrotationrotationtranslationtranslationreflection

Answer 1

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

1. \( BC \) is congruent to \( CD \).
2. \( \angle A \) is congruent to \( \angle E \).
3. \( \angle C \) is congruent in both triangles.

Since we have two pairs of congruent angles and one pair of congruent sides, we can first check for similarity and congruence between the triangles.

Since \( C \) is a common vertex and the angles related are congruent, a possible transformation could be a rotation around point \( C \) that aligns \( \triangle ABC \) with \( \triangle EDC \).

Given that the specific orientation of the triangles involves congruent angles and common vertex \( C \), the transformation can indeed be a rotation.

Therefore, the answer is:

Rotation.