Rotation and Dilation

Front

What are the coordinates of point A' after rotating triangle ABC with vertices A(-4, 1), B(-2, 1), and C(-1, -2) by 180° about the origin?

Back

A'(4, -1)

Front

What are the coordinates of point B' after rotating triangle ABC with vertices A(-4, 1), B(-2, 1), and C(-1, -2) by 180° about the origin?

Back

B'(2, -1)

Front

What are the coordinates of point C' after rotating triangle ABC with vertices A(-4, 1), B(-2, 1), and C(-1, -2) by 180° about the origin?

Back

C'(1, 2)

Front

What is the angle of rotation for a 180° turn?

Back

180 degrees

Front

What is the definition of rotation in geometry?

Back

A rotation is a transformation that turns a figure about a fixed point, called the center of rotation.

Front

What is the formula for rotating a point (x, y) 180° about the origin?

Back

The coordinates become (-x, -y).

Front

What is the result of dilating a point (x, y) with a scale factor k?

Back

The new coordinates are (kx, ky).

Front

What are the coordinates of point B after dilating point B(4, 9) with a scale factor of 2?

Back

(8, 18)