Transformations Review

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 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 figure from one position to another without turning it.

Front

What is a rotation?

Back

A rotation is a transformation that turns a figure around a fixed point called the center of rotation.

Front

What does reflection mean in geometry?

Back

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

Front

What is dilation?

Back

Dilation is a transformation that enlarges or reduces a figure by a scale factor relative to a center point.

Front

How do you perform a dilation on a point?

Back

To perform a dilation on a point, multiply the coordinates of the point by the scale factor.

Front

What happens to the coordinates of a point (x, y) when reflected over the x-axis?

Back

The coordinates become (x, -y) when reflected over the x-axis.

Front

What happens to the coordinates of a point (x, y) when reflected over the y-axis?

Back

The coordinates become (-x, y) when reflected over the y-axis.

Front

How do you rotate a point 90° counterclockwise around the origin?

Back

To rotate a point (x, y) 90° counterclockwise, the new coordinates become (-y, x).