# Exploring Reflections

A reflection is a type of transformation. Other transformations include translations, rotations, and dilations.

The result of a transformation is called the image. The original figure is called the pre-image.

Use the link below to explore reflections:

- Click on the REFLECTION button on the left.
- Click and drag the pre-image (the red triangle) and observe what happens.
- Click and drag a vertex of the pre-image and observe what happens.
- Click and drag the blue line of reflection and observe what happens.
- Click and drag the blue point on the line of reflection and observe what happens.

After you have explored several reflections, answer the following questions in your math journal. Use the words pre-image and image in your responses.

- When you dragged the pre-image, how did the image compare to the pre-image? What stayed the same? What changed?
- When you dragged a vertex of the pre-image, how did the image compare to the pre-image? What stayed the same? What changed?
- When you dragged the line of reflection, how did the image compare to the pre-image? What stayed the same? What changed?
- When you dragged the point on the line of reflection, how did the image compare to the pre-image? What stayed the same? What changed?
- Use the word bank to complete the sentences below:
- A reflection is a transformation the changes the _____________ of a figure. A translation does not change the figure’s _____________.
- The result of a reflection is called the ________. The ____________ figure is called the pre-image.
- For any reflection, the image and pre-image are ______________.
- Each vertex of a reflected image is exactly the same ___________ away from the line of ____________ as the corresponding vertex of the pre-image, but on the ______________ side.

WORD BANK:

image, size, opposite, congruent, distance, orientation, original, reflection