Triangles $$\triangle U V W$$ and $$\triangle A B C$$ are congruent. ![](http://admin.getprephub.com/media/editor/tp10_20230125194123556049.png) Which of the following sequences of transformations maps $$\triangle U V W$$ onto $$\triangle A B C$$ ? ![](http://admin.getprephub.com/media/editor/tp10s_20230125194153873107.png)

Answer If we draw each of the sequences and see if they map $$\triangle U V W$$ onto $$\triangle A B C$$. In Sequence A we perform a $$180^{\circ}$$ rotation about point V(anticlockwise) ![](http://admin.getprephub.com/media/editor/tp10ss_20230125194210814495.png) then a translation along the directed line segment $$\overline{V B}$$. ![](http://admin.getprephub.com/media/editor/tp10sss_20230125194228326574.png) We can see that this sequence does map $$\triangle U V W$$ onto $$\triangle A B C$$. In Sequence B we perform a a translation along the directed line segment $$\overline{U A}$$. ![](http://admin.getprephub.com/media/editor/tp10ssss_20230125194244261589.png) then a $$180^{\circ}$$ rotation(anticlockwise) about point $${A}$$. ![](http://admin.getprephub.com/media/editor/tp10sssss_20230125194305164956.png) In conclusion, both sequences map $$\triangle U V W$$ onto $$\triangle {ABC}$$.

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MCQ

Triangles $\triangle U V W$ and $\triangle A B C$ are congruent.

Which of the following sequences of transformations maps $\triangle U V W$ onto $\triangle A B C$ ?

Select all that apply :

Both

Only sequence $A$

Only sequence $B$

Neither

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