# Rotations Exploration 2 - 180° (Student Copy)

## Work with the teacher.

**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 180° **clockwise** about the origin. Make a prediction of which quadrant(s) will the image of the triangle be in after a 180° **clockwise** rotation.

**d.** *Rotate* triangle *ABC* 180° 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 180° **clockwise** rotation.

## 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.**Rotate the triangle 180°

**counterclockwise**about the origin.

**d.** What is the relationship between the coordinates of the vertices of triangle *ABC* and those of triangle *A'B'C'? *Write a rule to determine the coordinates of the image of (*x*, *y*) after a 180° **counterclockwise** rotation.