Geometry 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 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 it.

Front

What is a rotation in geometry?

Back

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

Front

What is reflection in geometry?

Back

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

Front

What is dilation in geometry?

Back

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

Front

What information do you need to perform a rotation?

Back

You need the center of rotation, the degree of rotation, and the direction of rotation.

Front

What does a scale factor of 2 mean in dilation?

Back

A scale factor of 2 means the image will be twice as large as the original shape.

Front

True or False: A dilation with a scale factor less than 1 is a reduction.

Back

True.

Front

What is the result of reflecting a shape over the x-axis?

Back

The y-coordinates of the points of the shape are inverted.