Question

8. Triangle ABC has vertices A(-2, 5),

B(1,0), and C(6, -2). What are the
coordinates of the vertices of
Triangle A'B'C' for Rx=4

Answer 1

A'(10,5), B'(7,0), C'(2,-2)

Explanation:

Triangle ABC with vertices A(-2, 5), B(1,0), and C(6, -2) is reflected across the line x=4.

This reflection has the rule

`(x,y)\rightarrow (8-x,y)`

So,

• 
  `A(-2,5)\rightarrow A'(10,5);`
• 
  `B(1,0)\rightarrow B'(7,0);`
• 
  `C(6,-2)\rightarrow C'(2,-2).`

See attached diagram for details.