A line segment has endpoints at $(3, 7)$ $(3 ,7 )$ and $(5, 9)$ $(5 ,9)$ . If the line segment is rotated about the origin by $\frac{π}{2}$ $(pi )/2$ , translated vertically by $2$ $2$ , and reflected about the y-axis, what will the line segment's new endpoints be?

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Answer 1 · 2016-03-13T13:48:58

New endpoints are $(9, 7)$ $(9, 7)$ and $(7, 5)$ $(7, 5)$

After rotating about the origin by $\frac{π}{2}$ $pi/2$ , the endpoints become
$(- 9, 5)$ $(-9, 5)$ and $(- 7, 3)$ $(-7, 3)$ .

After translating vertically by 2, the endpoints become
$(- 9, 7)$ $(-9, 7)$ and $(- 7, 5)$ $(-7, 5)$ .

Aftre reflecting about the y-axis, the final endpoints are
$(9, 7)$ $(9, 7)$ and $(7, 5)$ $(7, 5)$

God bless....I hope the explanation is useful.

A line segment has endpoints at (3,7)(3 ,7 ) and (5,9)(5 ,9). If the line segment is rotated about the origin by π2(pi )/2 , translated vertically by 22 , and reflected about the y-axis, what will the line segment's new endpoints be?