A line segment has endpoints at $(1, 5)$ $(1 ,5 )$ and $(0, 1)$ $(0 ,1 )$ . If the line segment is rotated about the origin by $π$ $pi$ , translated horizontally by $- 4$ $- 4$ , and reflected about the y-axis, what will the line segment's new endpoints be?

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Answer 1 · 2016-11-27T21:15:43

$the line segment's new end points are: A 1 (5, - 5) and B 1 (4, - 1)$ $"the line segment's new end points are:"A1(5,-5) " and "B1(4,-1)$

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$first; draw line segment AB like figure above$ $"first; draw line segment AB like figure above"$

$now rotate the line segment about the origin by π$ $"now rotate the line segment about the origin by "pi$

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$"now "A(1,5) rArr " "A'(-1,-5)$

$B(0,1) rArr" "B'(0,-1)$

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$"translate horizontally by -4"$

$"now "A'(-1,-5) " is " A''(-1-4,-5)=(-5,-5)$
$B'(0,-1) " is " B''(0-4,-1)=(-4,-1)$

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$"finally; reflect the line segment about y-axis"$

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A line segment has endpoints at (1 ,5 )(1,5)(1 ,5 ) and (0 ,1 )(0,1)(0 ,1 ). If the line segment is rotated about the origin by pi π pi , translated horizontally by - 4 −4 - 4 , and reflected about the y-axis, what will the line segment's new endpoints be?