Question

1. Point A(-5,8) is reflected across the line y = x. What are the coordinates of A'? Show your work and explain.

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Answer 1

The coordinates of A'(8,-5)

Explanation:

we know that

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

so

The rule of the reflection across the line y=x is

(x,y) -----> (y,x)

we have the point A(-5,8)

Applying the rule of the reflection across the line y=x

A(-5,8) ----> A'(8,-5)

see the attached figure to better understand the problem