△abc has vertices a(−7,−13), b(12,−8), and c(−17,19). which of the following represents the reflection of △abc across the line y=x and its rotation of 90∘ about the origin?

Option B

Step-by-step explanation:

Plot points A, B, C and line y=x on the coordinate plane (see attached diagram, blue points)

1. The reflection across the line y=x has the rule

(x,y)→(y,x)

So,

Points A', B', C' are marked in red on the diagram

2. The rotation by 90° clockwise about the origin has the rule

(x,y)→(-y,x)

So,