Question

Write the new coordinates after the triangle is reflected over the line x=-5.

Answer 1

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:

`\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}`

So, the coordiantes of the new triangle will be:

A' = ( -12, 10 )

B' = ( -13, -4 )

C' = ( -7 , 1 )