# Exploring Reflections

## Reflection over the y-axis (x = 0)

What are the effects of a reflection over the y-axis on the points, segments and angle measurements?

## Reflection over the x-axis (y = 0)

What are the effects of a reflection over the x-axis on the points, segments and angle measurements?

## Reflection over a vertical line

What are the effects of a reflection over any vertical line on the points, segments and angle measurements?

## Reflection over a horizontal line

What are the effects of a reflection over any horizontal line on the points, segments and angle measurements?

## Define Relationships within Reflections

Summarize the relationships you observed between these new lines and the line of reflection.

## Can you do it on your own?

## Reflection over the line y = x

What are the effects of a reflection over the line y = x on the points, segments and angle measurements?

What is the equation of the line of reflection used to create the image above?

## Reflection Rules

So far you have explored three different scenarios. You should have noticed the following patterns or rules: If a figure is reflected in the y-axis, then all of the points will move according to the rule . If a figure is reflected in the x-axis, then all of the points will move according to the rule . If a figure is reflected in the line y = x , the all of the points will move according to the rule . What do you think is the rule when figures are reflected in the line y=-x?

## Challenge 1

Observations of the effects of a composition of two reflections.