GeoGebra Classroom

# 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.