# Rotations Homework - 270° (Teacher Copy)

## Work with a partner.

**a**. Draw a triangle with vertices at

*A*(0,3)

*B*(4,5), and

*C*(3, -3).

**b**. Create a point at the origin

*D*(0,0).

**c. **The point (*x*, *y*) is rotated 270° counterclockwise about the origin. Make a prediction of which quadrant(s) will the image of the triangle be in after a 270° counterclockwise rotation.

**d.** *Rotate* triangle *ABC* 270° counterclockwise about the origin. What are the coordinates of the vertices of the image of triangle *A'B'C'*? Write a rule to determine the coordinates of the image of (*x*, *y*) after a 270° counterclockwise rotation.

**e. **Find the side lengths and angle measures of the two triangles. What do you notice?