Transformations & Congruence

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 reflection in geometry.

Back

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

Front

What is a translation?

Back

A translation is a transformation that slides a shape from one position to another without changing its size, shape, or orientation.

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

What are corresponding sides?

Back

Corresponding sides are sides of two shapes that are in the same relative position.

Front

What are corresponding angles?

Back

Corresponding angles are angles that are in the same relative position in two similar shapes.

Front

What does it mean for shapes to be congruent?

Back

Shapes are congruent if they have the same size and shape.

Front

How can you determine if two shapes are congruent?

Back

Two shapes can be determined to be congruent if one can be transformed into the other through a series of transformations (translation, rotation, reflection).