A line segment has endpoints at $(4, 5)$ $(4 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $\frac{3 π}{2}$ $( 3 pi)/2$ , translated horizontally by $- 1$ $- 1$ , and reflected about the y-axis, what will the line segment's new endpoints be?

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A line segment has endpoints at $(4, 5)$ $(4 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $\frac{3 π}{2}$ $( 3 pi)/2$ , translated horizontally by $- 1$ $- 1$ , and reflected about the y-axis, what will the line segment's new endpoints be?

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Answer 1 · 2016-02-16T09:43:28

The new end points are $(- 2, - 2)$ $(-2, -2)$ and $(- 4, - 4)$ $(-4, -4)$

Explanation:

Considering the end point $(2, 3)$ $(2, 3)$ rotated $+ \frac{3 π}{2}$ $+(3pi)/2$ about the origin $(0, 0)$ $(0, 0)$ , it will end up exactly at $(3, - 2)$ $(3, -2)$ . Translating that -1 horizontally will place it at $(2, - 2)$ $(2, -2)$ then reflecting about the y-axis will place it at $(- 2, - 2)$ $(-2,-2)$ at the 3rd Quadrant.

Considering the end point $(4, 5)$ $(4, 5)$ rotated $+ \frac{3 π}{2}$ $+(3pi)/2$ about the origin $(0, 0)$ $(0, 0)$ , it will end up exactly at $(5, - 4)$ $(5, -4)$ . Translating that -1 horizontally will place it at $(4, - 4)$ $(4, -4)$ then reflecting about the y-axis will place it at $(- 4, - 4)$ $(-4,-4)$ at the 3rd Quadrant also.

Therefore the new end points are

$(- 2, - 2)$ $(-2, -2)$ and $(- 4, - 4)$ $(-4, -4)$

have a nice day! from the Philippines !

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A line segment has endpoints at $(4, 5)$ $(4 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $\frac{3 π}{2}$ $( 3 pi)/2$ , translated horizontally by $- 1$ $- 1$ , and reflected about the y-axis, what will the line segment's new endpoints be?

1 Answer

Explanation:

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A line segment has endpoints at (4,5)(4 ,5 ) and (2,3)(2 ,3 ). If the line segment is rotated about the origin by 3π2( 3 pi)/2 , translated horizontally by −1 - 1 , and reflected about the y-axis, what will the line segment's new endpoints be?

1 Answer

Explanation:

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A line segment has endpoints at $(4, 5)$ $(4 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $\frac{3 π}{2}$ $( 3 pi)/2$ , translated horizontally by $- 1$ $- 1$ , and reflected about the y-axis, what will the line segment's new endpoints be?