Transformations

Front

What is a transformation in geometry?

Back

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

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

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 is the rule for translating a point (x, y) to the right by 5 units and down by 1 unit?

Back

The rule is (x + 5, y - 1).

Front

What does a reflection do to a shape?

Back

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

Front

What is the reflection rule over the x-axis for a point (x, y)?

Back

The reflection rule over the x-axis is (x, -y).

Front

What is the reflection rule over the y-axis for a point (x, y)?

Back

The reflection rule over the y-axis is (-x, y).

Front

How does a rotation transformation work?

Back

A rotation transformation turns a shape around a fixed point, called the center of rotation.

Front

What is the angle of rotation for a 90-degree clockwise rotation?

Back

A 90-degree clockwise rotation turns the shape to the right.

Front

What is dilation in geometry?

Back

Dilation is a transformation that changes the size of a shape but keeps its proportions the same.