A line segment has endpoints at $(8, 5)$ $(8 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $π$ $pi$ , 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 $(8, 5)$ $(8 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $π$ $pi$ , translated horizontally by $- 1$ $- 1$ , and reflected about the y-axis, what will the line segment's new endpoints be?

1 Answer

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Answer 1 · 2016-02-18T01:41:04

The new endpoints are $(3, - 3)$ $(3, -3)$ and $(9, - 5)$ $(9, -5)$

Explanation:

After the line segment has been rotated about the (0, 0), the new endpoints are $(- 2, - 3)$ $(-2, -3)$ and $(- 8, - 5)$ $(-8, -5)$ located at the 3rd quadrant.

After translating it -1 horizontally, the new endpoints become
$(- 3, - 3)$ $(-3, -3)$ and $(- 9, - 5)$ $(-9, -5)$ still at the 3rd quadrant.

After reflecting it about the y-axis it will appear at the 4th quadrant with endpoints $(3, - 3)$ $(3, -3)$ and $(9, - 5)$ $(9, -5)$

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A line segment has endpoints at $(8, 5)$ $(8 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $π$ $pi$ , 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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Science

Math

Humanities

... and beyond

A line segment has endpoints at (8,5)(8 ,5 ) and (2,3)(2 ,3 ). If the line segment is rotated about the origin by π pi , 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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Impact of this question

A line segment has endpoints at $(8, 5)$ $(8 ,5 )$ and $(2, 3)$ $(2 ,3 )$ . If the line segment is rotated about the origin by $π$ $pi$ , translated horizontally by $- 1$ $- 1$ , and reflected about the y-axis, what will the line segment's new endpoints be?