Geometry Transformations

Front

What is a transformation in geometry?

Back

A transformation in geometry 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 moves every point of a shape the same distance in the same direction.

Front

What is rotation in geometry?

Back

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

Front

Define 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

How do you identify a translation?

Back

A translation can be identified by the movement of a shape without any rotation or reflection.

Front

What does a 180-degree rotation look like?

Back

A 180-degree rotation turns a shape halfway around a point, resulting in an image that is upside down.

Front

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

Back

Reflecting a shape over the x-axis flips it vertically, changing the sign of the y-coordinates.

Front

What happens when a shape is reflected over the y-axis?

Back

Reflecting a shape over the y-axis flips it horizontally, changing the sign of the x-coordinates.