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

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A triangle has corners at $(2, 1)$ $(2, 1 )$ , ( 6 , 1) $, and$ $, and$ ( 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 $(2, - 1)$ $(2,-1)$ , $(6, - 1)$ $(6,-1)$ and $(1, 2)$ $(1,2)$ .

Explanation:

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

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

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

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

1 Answer

Explanation:

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