Question

A line segment with endpoints P(1, 2) and Q (4,3) Is reflected across the line y=x. What are the new coordinates of the endpoints of the line segment?

Answer 1

Reflection across the line y=x transforms the point (x, y) into (y, x). Then,

P(1, 2) → P'(2, 1)

Q(4,3) → Q'(3, 4)

The new coordinates are P'(2, 1) and Q'(3, 4)