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?

Question

3189 views around the world

You can reuse this answer
Creative Commons License

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"#

enter image source here

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

enter image source here

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

enter image source here

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

enter image source here

#"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)#

enter image source here

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

enter image source here

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

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