Asked by martin
The triangles are congruent by the SSS congruence theorem.
Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.
Which rigid transformation(s) can map TriangleABC onto TriangleDEC?
reflection, then rotation
reflection, then translation
rotation, then translation
rotation, then dilation
All Answers 1
Answered by
GPT-5 mini
AI
Reflection, then rotation.
Reason: the construction given is exactly a reflection of triangle ABC across line BC (which fixes B and C and sends A to its mirror), followed by a rotation about C to place the reflected vertex in the position of D. Translation or a rotation+translation would preserve the triangle's orientation and so cannot produce the mirror image; dilation is not a rigid transformation.
Reason: the construction given is exactly a reflection of triangle ABC across line BC (which fixes B and C and sends A to its mirror), followed by a rotation about C to place the reflected vertex in the position of D. Translation or a rotation+translation would preserve the triangle's orientation and so cannot produce the mirror image; dilation is not a rigid transformation.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.