Triangle ABC undergoes a sequence of transformations.

A(0,2) B(2,7) C(3,2)

1. Reflection across the line x=1
2. Dilation by a factor of 2 centered at the origin

What are the coordinates of A'B'C'?

1 answer

1. Reflection across the line x=1:
A'(2,2) B'(0,7) C'(-1,2)

2. Dilation by a factor of 2 centered at the origin:
A"(4,4) B"(0,14) C'(-2,4)

Therefore, the coordinates of A'B'C' after both transformations are:
A"(4,4) B"(0,14) C"(-2,4)