Is there a series of rigid transformations that could map ΔQRS to ΔABC? If so, which transformations could be used?

A No, ΔQRS and ΔABC are congruent but ΔQRS cannot be mapped to ΔABC using a series rigid transformations.

B No, ΔQRS and ΔABC are not congruent.

C Yes, ΔQRS can be translated so that R is mapped to B and then rotated so that S is mapped to C.

D Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

Question

Payton Higgins

Mathematics

26 April, 03:00

Is there a series of rigid transformations that could map ΔQRS to ΔABC? If so, which transformations could be used?

A No, ΔQRS and ΔABC are congruent but ΔQRS cannot be mapped to ΔABC using a series rigid transformations.

B No, ΔQRS and ΔABC are not congruent.

C Yes, ΔQRS can be translated so that R is mapped to B and then rotated so that S is mapped to C.

D Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

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Answers (1)

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Talia Solomon · Answer 1

Answer;

D Yes, ΔQRS can be translated so that Q is mapped to A and then reflected across the line containing QS.

Explanation;

-A rigid transformation is a transformation of a plane that preserves length. It is also called isometry. Reflections, translations, rotations, and combinations of these three transformations are examples of rigid transformations.