# Madera REAL Exploring Rotations

Today, you are going to explore rotations in a coordinate plane.

What do you notice when you drag the slider?

Rotate the triangle 90 degrees counterclockwise by using the slider. Answer the following questions.

- What are the original ordered pairs of the triangle?
- What are the ordered pairs of the rotated triangle?
- What patterns do you notice?
- Write a rule to describe the rotation.

Rotate the triangle 180 degrees counterclockwise by using the slider. Answer the following questions.

- What are the original ordered pairs of the triangle?
- What are the ordered pairs of the rotated triangle?
- What patterns do you notice?
- Write a rule to describe the rotation.

Rotate the triangle 270 degrees counterclockwise by using the slider. Answer the following questions.

- What are the original ordered pairs of the triangle?
- What are the ordered pairs of the rotated triangle?
- What patterns do you notice?
- Write a rule to describe the rotation.

How are rotations similar to translations? How are they different?

How are rotations similare to reflections? How are they different?

Is a rotated triangle still congruent? Why or why not?