Lesson 1.7 Rotations on the Coordinate Plane

Front

What is a rotation in the coordinate plane?

Back

A rotation in the coordinate plane is a transformation that turns a figure around a fixed point, known as the center of rotation, by a specified angle in a specified direction.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a figure is rotated. In many problems, this point is the origin (0,0).

Front

How do you determine the angle of rotation for a point that remains unchanged?

Back

If a point remains unchanged after a rotation, it indicates a rotation of 360 degrees or a multiple of 360 degrees.

Front

What are the coordinates of a point (x, y) after a 90-degree clockwise rotation about the origin?

Back

The new coordinates will be (y, -x).

Front

What are the coordinates of a point (x, y) after a 90-degree counterclockwise rotation about the origin?

Back

The new coordinates will be (-y, x).

Front

What are the coordinates of a point (x, y) after a 180-degree rotation about the origin?

Back

The new coordinates will be (-x, -y).

Front

If point A(2, 3) is rotated 180 degrees about the origin, what are the coordinates of A'?

Back

A' will be (-2, -3).

Front

What is the effect of a 270-degree clockwise rotation on a point (x, y)?

Back

The new coordinates will be (-y, x).

Front

How do you find the image of a triangle after a rotation?

Back

To find the image of a triangle after a rotation, apply the rotation rules to each vertex of the triangle and plot the new points.

Front

What is the result of rotating the point (1, 2) 90 degrees counterclockwise?

Back

The new coordinates will be (-2, 1).