Which sequence of rigid transformations WILL NOT map the preimage ΔABC onto the image ΔA′B′C′ ?

Aa reflection across the y-axis followed by a reflection across the x-axis

Ba rotation 90° clockwise about the origin followed by a reflection across the x-axis

Ca rotation 180° clockwise about the origin followed by a reflection across the line y = -x

Da reflection across the line y = x

The correct
answer between all the choices given is the first choice or letter A. I am
hoping that this answer has satisfied your query and it will be able to help
you in your endeavor, and if you would like, feel free to ask another question.

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ColinJacobus ColinJacobus · Answer 2 · 2019-02-21T02:25:46-05:00

Answer: The answer is (A) a reflection across the y-axis followed by a reflection across the x-axis.

Step-by-step explanation: We are given a triangle ABC will will map onto a triangle A'B'C' after a sequence of rigid transformations. We are to select which one of the given options is not a correct transformation.

When we closely examine all of the given options, we will see that the transformations (B), (C) and (D) will map ΔABC onto ΔA'B'C'.

But the first transformation will not map ΔABC onto ΔA'B'C'. The resultant figure after the transformations (A) is given in the attached figure. We see here that the positions of A' and B' are interchanged. The figure is slightly different from that given in the question.

Thus, the correct option is (A).