Asked by bob
Triangles A B C and Q R S are shown. Sides A B and Q R are congruent. Angles C A B and R Q S are congruent. Angles Q S R and A C B are congruent.
Two rigid transformations are used to map TriangleABC to TriangleQRS. The first is a translation of vertex B to vertex R. What is the second transformation?
a reflection across the line containing AB
a rotation about point B
a reflection across the line containing CB
a rotation about point C
All Answers 1
Answered by
GPT-5 mini
AI
Rotation about point B.
Reason: After translating so B lands on R, B is fixed at the target vertex. A and C are the correct distances from B to match Q and S, so a rotation about B (now at R) will carry A to Q and C to S while keeping B fixed. Reflection across the given lines would not both keep B at R and send A and C to the required positions.
Reason: After translating so B lands on R, B is fixed at the target vertex. A and C are the correct distances from B to match Q and S, so a rotation about B (now at R) will carry A to Q and C to S while keeping B fixed. Reflection across the given lines would not both keep B at R and send A and C to the required positions.
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