Rotations and More

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 specified angle in a specified direction.

Front

What is the rule for rotating a point (x,y) 90 degrees counterclockwise around the origin?

Back

(x,y) → (-y,x)

Front

What is the rule for rotating a point (x,y) 180 degrees around the origin?

Back

(x,y) → (-x,-y)

Front

What is the rule for rotating a point (x,y) 270 degrees counterclockwise around the origin?

Back

(x,y) → (y,-x)

Front

What are the three types of transformations in geometry?

Back

Translations, reflections, and rotations.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape to create a new shape.

Front

What does it mean for two shapes to be congruent?

Back

Two shapes are congruent if they have the same size and shape, meaning one can be transformed into the other through rotations, reflections, or translations.

Front

What is the difference between rotation and reflection?

Back

Rotation turns a shape around a point, while reflection flips a shape over a line.

Front

What is the image of the point (3,4) after a 90-degree counterclockwise rotation around the origin?

Back

(-4,3)

Front

What is the image of the point (-5,2) after a 180-degree rotation around the origin?

Back

(5,-2)