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

Translation, Reflection, Rotation, and Dilation.

Front

What happens to a shape during a translation?

Back

A translation moves a shape from one location to another without changing its size, shape, or orientation.

Front

What is a reflection?

Back

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

Front

What is a rotation?

Back

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

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 determine the direction of a translation?

Back

The direction of a translation is determined by the values added or subtracted from the coordinates of the shape.

Front

What does it mean for figures to be congruent?

Back

Congruent figures have the same shape and size, meaning they can be superimposed on each other.

Front

What does it mean for figures to be similar?

Back

Similar figures have the same shape but may differ in size; their corresponding angles are equal and sides are proportional.

Front

What is the center of rotation?

Back

The center of rotation is the fixed point around which a shape is turned during a rotation.