A triangle has corners at #(2, 1 )#, ( 6 , 1)#, and #( 1 , -2)#. What will the new coordinates of the triangle be if it is reflected across the x-axis?

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Answer 1 · 2016-04-19T10:54:29

New coordinates of the triangle will be #(2,-1)#, #(6,-1)# and #(1,2)#.

Reflection of a point #(x,y)# in #x#-axis is #(x,-y)#.

Hence reflection of a triangle having corners at #(2,1)#, #(6,1)# and #(1,-2)# will be a triangle with corners at #(2,-1)#, #(6,-1)# and #(1,2)#.

Hence, new coordinates of the triangle will be #(2,-1)#, #(6,-1)# and #(1,2)#.