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Given the triangle ABC,
the coordinates of the triangle are:
A: ( 2, 10) , B: (3, -4) and C: (-3, 1)
We need to find the new coordinates after the triangle is reflected over the line x=-5.
We will make a line at x = -5, then reflect the triangle over it
The new coordinates of y will not change for all points
The change of x-coordinates will be as follows:
[tex]\begin{gathered} A_x=-5-(2--5)=-5-7=-12 \\ B_x=-5-(3--5)=-5-8=-13 \\ C_x=-5-(-3--5)=-5-2=-7 \end{gathered}[/tex]So, the coordiantes of the new triangle will be:
A' = ( -12, 10 )
B' = ( -13, -4 )
C' = ( -7 , 1 )