Transformations (Rotations, Reflections, Translations)

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape.

Front

What are the three main types of transformations?

Back

The three main types of transformations are translations, rotations, and reflections.

Front

Define translation in geometry.

Back

Translation is a transformation that moves every point of a shape the same distance in the same direction.

Front

What is a rotation?

Back

A rotation is a transformation that turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

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

Front

How do you determine the angle of rotation?

Back

The angle of rotation is determined by how far the shape is turned around the center of rotation.

Front

What does it mean to reflect a shape over the x-axis?

Back

Reflecting a shape over the x-axis means that each point of the shape is flipped to the opposite side of the x-axis.

Front

What does it mean to reflect a shape over the y-axis?

Back

Reflecting a shape over the y-axis means that each point of the shape is flipped to the opposite side of the y-axis.

Front

If a shape is translated 3 units right and 2 units down, what happens to its coordinates?

Back

The x-coordinate increases by 3 and the y-coordinate decreases by 2.

Front

What is the result of a 90-degree clockwise rotation about the origin?

Back

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