Question

Write your answer for y.

Answer 1

The coordinates of Y' will be: A'(4, -3)

Explanation:

Triangle XYZ with vertices

• X(-5, -2)

• Y(-3, 4)

• Z(-1, 1)

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

• P(x, y) → P'(y, x)

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be: A'(4, -3)