Quadrilaterals EFGH and $${ABCD}$$ are congruent. ![](http://admin.getprephub.com/media/editor/pt12_20230125194551935044.png) Which of the following sequences of transformations maps EFGH onto ABCD? ![](http://admin.getprephub.com/media/editor/pt12s_20230125194610130587.png)

Answer In Sequence $$A$$ we perform a $$-90^{\circ}$$ rotation about point $${H}$$ (clockwise)... ![](http://admin.getprephub.com/media/editor/pt12ss_20230125194624134163.png) then a translation along the directed line segment $$\overline{H D}$$. ![](http://admin.getprephub.com/media/editor/pt12sss_20230125194714390510.png) We can see that this sequence does map EFGH onto ABCD. In Sequence $$B$$ we perform $$a-90^{\circ}$$ rotation about point $$F$$ ![](http://admin.getprephub.com/media/editor/pt12ssss_20230125194641307925.png) then a translation along the directed line segment FA. ![](http://admin.getprephub.com/media/editor/pt12sssss_20230125194736283067.png) We can see that this sequence does not map EFGH onto ABCD. In conclusion, only sequence A maps EFGH onto ABCD.

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MCQ

Quadrilaterals EFGH and ${ABCD}$ are congruent.

Which of the following sequences of transformations maps EFGH onto ABCD?

Select all that apply :

Only sequence $A$

Only sequence $B$

Both

Neither

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