Question

use the image to answer the question. a (0,9) b (-5,5) c (-5,-1) a b(11,5) c triangle abc has been reflected over a vertical line of reflection. the coordinates of vertices a, b, c and b are shown. what are the coordinates of vertex c? (2 points) the coordinates of vertex c are( 6 9 )

Explanation:

Step1: Find the line of reflection

The x - coordinate of B is - 5 and of B' is 11. The line of reflection is the vertical line $x=\frac{-5 + 11}{2}=\frac{6}{2}=3$.

Step2: Reflect point C

The x - coordinate of C is - 5. The distance from x=-5 to x = 3 is $d=3-(-5)=8$. The x - coordinate of C' is $3 + 8=11$. The y - coordinate of a point does not change in a vertical line reflection. The y - coordinate of C is - 1, so the y - coordinate of C' is also - 1.

Answer:

(11,-1)