# Exploring Transformations

## Translations - move the dots on the Horizontal and Vertical sliders to observe what happens when you translate a pre-image.

Describe how a translation moves an object. What happens to each point?

The "horizontal" slider moves the figure along which axis?

The "vertical" slider moves the figure along which axis?

How do you know which triangle is the pre-image and which one is the image?

In complete sentences, describe how you could create a translation left 5 and up 6 on a graph without using a computer. What would be the process to create the translation?

## Reflections - Use the check boxes to explore reflections.

Describe how the figure moves when you reflect it over each line. What do you notice about the distance of each pre-image and image point from the line of reflection?

Where is the line of reflection always located in relation to the pre-image and image?

Using complete sentences, describe how you could reflect something over the x-axis without using the computer? What would the process be to make sure it flipped and ended up in the correct location?

Describe how the figure moves when you select each rotation.

How many quadrants does the pre-image move under each rotation? 90 - ________ 180 - _______ 270 - _______ 360 - _______

Look at the coordinates after each rotation. What do you notice? Describe how they change after a 90, 180, and 270 degree rotation.