Transformations

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, reflections, and rotations.

Front

Define translation in geometry.

Back

Translation is a transformation that slides a shape from one position to another without turning or flipping it.

Front

What happens during a reflection?

Back

During a reflection, a shape is flipped over a line (axis) to create a mirror image.

Front

What is a rotation in geometry?

Back

A rotation is a transformation that turns a shape around a fixed point at a certain angle.

Front

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

Back

Reflecting a shape across the x-axis means flipping it over the x-axis, changing the sign of the y-coordinates.

Front

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

Back

Reflecting a shape across the y-axis means flipping it over the y-axis, changing the sign of the x-coordinates.

Front

How do you perform a 90° clockwise rotation?

Back

To perform a 90° clockwise rotation, switch the coordinates (x, y) to (y, -x).

Front

How do you perform a 90° counterclockwise rotation?

Back

To perform a 90° counterclockwise rotation, switch the coordinates (x, y) to (-y, x).

Front

What is the result of translating a shape 3 units to the right and 2 units up?

Back

The new coordinates of the shape will be (x+3, y+2).