Question

Reflect over the line y = x

Answer 1

After the reflection over the line y=x, the image points are:

• A'(-1, -2)

• B'(3, -1)

• C'(2, -3)

Explanation:

We know that when a point is reflected cross the line y = x, the x-coordinate, and y-coordinate change places.

i.e.

• The reflection of the point (x,y) across the line y = x is the point (y, x).

Given

• A(-2, -1)

• B(-1, 3)

• C(-3, 2)

so after the points reflected cross the line y = x

P(x, y) → P'(y, x)

A(-2, -1) → A'(-1, -2)

B(-1, 3) → B'(3, -1)

C(-3, 2) → C'(2, -3)

Therefore, after the reflection over the line y=x, the image points are:

• A'(-1, -2)

• B'(3, -1)

• C'(2, -3)