Question

Which composition of transformations maps figure RSTUV to figure R"S"T"U"V"?

a reflection across line n followed by a translation down and to the right

a reflection across line n followed by a 270° rotation about point P

a translation down followed by a 270° rotation about point P

a translation down followed by a reflection across line n

Answer 1

The correct answer is option B.

A reflection across line n followed by a 270° rotation about point P.

Explanation:

In the attached figure, we can see that RSTUV has been reflected down in a straight path across line 'n' to make R'S'T'U'V'.

After this transformation, the figure is again rotated across point P. This rotation is 270 degrees. Now we obtain the figure R"S"T"U"V".

Therefore, option B is correct.

Answer 2

option: B is correct

A reflection across line n followed by a 270° rotation about point P.

Explanation:

Clearly from the figure we could see that the graph is first reflected across the given line n such that we obtain the figure R'S'T'V'U' and then it is rotated 270° across the point P so that we obtain the figure R"S"T"U"V".

Hence, option B is correct.

( A reflection across line n followed by a 270° rotation about point P )