Rectangle $$ A B C D $$ is rotated by $$90$$ degrees clockwise about the origin and then translated $$3$$ units left and $$2$$ units down to form $$A^{\prime} B^{\prime} C^{\prime\} D^{\prime}$$. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-05%20at%202.27.54%20PM_20230505122808993405.png) What is the length, in units, of line segment $$A^{\prime} B^{\prime}$$ in the resulting figure?

Answer The transformations rotation and translations hae been used to make $$A^{\prime} B^{\prime} C^{\prime\} D^{\prime}$$ from $$ A B C D $$. Since, $$ A B C D $$ and $$A^{\prime} B^{\prime} C^{\prime\} D^{\prime}$$ are congruent to each other. Hence, $$A^{\prime} B^{\prime}$$ = $$AB=5$$ unit.

Prephub

Rectangle $A B C D$ is rotated by $90$ degrees clockwise about the origin and then translated $3$ units left and $2$ units down to form $A^{\prime} B^{\prime} C^{\prime} D^{\prime}$ .

What is the length, in units, of line segment $A^{\prime} B^{\prime}$ in the resulting figure?

$5$

$6$

$7$

$9$

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