Rotations on the Coordinate Plane (8th)

Front

What is a rotation in the context of the coordinate plane?

Back

A rotation 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 when rotating a figure on the coordinate plane?

Back

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

Front

How do you perform a 90° counterclockwise rotation on a point (x, y)?

Back

To rotate a point (x, y) 90° counterclockwise about the origin, the new coordinates will be (-y, x).

Front

What are the new coordinates of the point (3, 4) after a 180° rotation about the origin?

Back

The new coordinates will be (-3, -4).

Front

What is the result of rotating a point (a, b) 270° counterclockwise?

Back

The new coordinates will be (b, -a).

Front

What is the difference between a clockwise and counterclockwise rotation?

Back

Clockwise rotation moves in the direction of the hands of a clock, while counterclockwise rotation moves in the opposite direction.

Front

How can you determine the angle of rotation from a given figure?

Back

The angle of rotation can be determined by measuring the angle formed between the original position of the figure and its new position.

Front

What is the image of the point (2, -5) after a 90° clockwise rotation?

Back

The new coordinates will be (-5, -2).

Front

What does it mean for a figure to be congruent after a rotation?

Back

A figure is congruent after a rotation if it has the same shape and size as the original figure, just in a different orientation.

Front

What is the effect of rotating a figure 360° about a point?

Back

Rotating a figure 360° about a point results in the figure being in the same position as it started.