Understanding Rotations and Transformations

Front

What is a rotation in geometry?

Back

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

Front

What is the angle of rotation that brings a figure back to its original position?

Back

360 degrees.

Front

What is the result of rotating a point 90 degrees clockwise?

Back

The coordinates of the point (x, y) become (y, -x).

Front

What is the result of rotating a point 180 degrees?

Back

The coordinates of the point (x, y) become (-x, -y).

Front

What is the result of rotating a point 270 degrees counterclockwise?

Back

The coordinates of the point (x, y) become (-y, x).

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Front

What is the effect of reflecting a point across the x-axis?

Back

The coordinates of the point (x, y) become (x, -y).

Front

What is the effect of reflecting a point across the y-axis?

Back

The coordinates of the point (x, y) become (-x, y).

Front

If a figure is rotated 180 degrees, which quadrants can it occupy?

Back

It can occupy the opposite quadrant from its original position.

Front

What is the difference between 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.