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

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Answer 1 · 2016-11-25T20:22:33

$"the line segment's new endpoints are :M(-3,1) and N (-2,2)"$

$"1- draw the points given"$

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$"2-draw a line segment from B to A"$

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$"3-rotate the line segment about origin by " pi/2$

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$"A(2,3),B(1,2) will be " A'(-3,2)" and "B' "(-2,1)"$

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$"4-now slide the segment 3 unit down"$

$"the new coordinates of A is "A''$

$A''(-3,-1)$

$"the new coordinates of B is " B''$

$B''(-2,-2)$

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$"5- now reflect the line segment by x-axis"$

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$"the reflected line segment is MN and its coordinates are :"$

$"M(-3,1) and N(-2,2)"$

A line segment has endpoints at (2 , 3)(2 , 3) and (1 , 2)(1 , 2). If the line segment is rotated about the origin by (pi)/2 (pi)/2 , translated vertically by 33, and reflected about the x-axis, what will the line segment's new endpoints be?