# Reflecting in the line y = x

## Part A

## Question 1

What do you notice about the coordinates of the IMAGES of A, B, C and D under reflection in the line y = x?

## Part B

## Question 2

What is the relationship between points A and A' ?

## Question 3

With Trace On, again using the slider, change the position of point A. What do you notice about the line traced out by A' ?

## Question 4

In the space below, write the equation of the line traced out by A' as point A moves.

## Part C

## Question 5

Find the equation of the red line in the form

## Question 6

With Trace off, drag the point A. What is the relationship between A and A' ?

## Question 7

Turn Trace on and now again, drag the point A. What is the equation of the line traced out by A' ?

## Question 8

Using the graph below, find equations in the form for both; i. the red line ii. the trace line

## Part D

## Question 9

With the trace off, drag the point A. What is the relationship between point A and A' ?

## Question 10

Turn the Trace on and drag point A again. What is the equation of the line traced out by the point A' ?