Rotations

Front

What is a 180 degree rotation in the coordinate plane?

Back

A 180 degree rotation around the origin transforms a point (x, y) to (-x, -y).

Front

What happens to the coordinates of a point when it is rotated 90 degrees clockwise?

Back

A point (x, y) rotated 90 degrees clockwise around the origin becomes (y, -x).

Front

What is the result of rotating the point (3, 4) 90 degrees counterclockwise?

Back

The point (3, 4) becomes (-4, 3) after a 90 degree counterclockwise rotation.

Front

How do you determine the angle of rotation for a figure?

Back

The angle of rotation is the measure of the turn from the original position to the new position, measured in degrees.

Front

What is the image of the point (2, -3) after a 180 degree rotation?

Back

The image of the point (2, -3) after a 180 degree rotation is (-2, 3).

Front

If a triangle is rotated 90 degrees clockwise, how does its orientation change?

Back

The triangle's orientation changes such that the vertex that was at the top moves to the right.

Front

What is the coordinate transformation for a 90 degree counterclockwise rotation?

Back

A point (x, y) becomes (-y, x) after a 90 degree counterclockwise rotation.

Front

How can you visualize a rotation on a coordinate plane?

Back

You can visualize a rotation by drawing the original point, the center of rotation, and the new point after rotation, forming a circular arc.

Front

What is the effect of a 360 degree rotation on a point?

Back

A 360 degree rotation returns the point to its original position.

Front

What is the new coordinate of point A(1, 2) after a 90 degree clockwise rotation?

Back

The new coordinate of point A(1, 2) after a 90 degree clockwise rotation is (2, -1).