Question

use the image to answer the question. a (0,9) b (-5,5) c (-5,-1) 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( )

Explanation:

Step1: Find reflection line using B and B'

Midpoint x-coordinate of B(-5,5) and B'(11,5): $\frac{-5+11}{2}=3$. Line: $x=3$.

Step2: Calculate C' coordinates

C(-5,-1) reflected over $x=3$: y remains -1. Solve $\frac{-5+x}{2}=3$ → $x=11$. Thus, C'(11,-1).

Answer:

(11, -1)