Transformations and Congruence Concepts

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

What is a translation?

Back

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

Front

What is a rotation?

Back

A rotation turns a shape around a fixed point, called the center of rotation, by a certain angle.

Front

What is a reflection?

Back

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

Front

What is dilation?

Back

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

Front

What does congruent mean in geometry?

Back

Congruent means that two shapes are the same size and shape.

Front

How do you denote that two shapes are congruent?

Back

Two shapes are denoted as congruent using the symbol ≅.

Front

What is the effect of translating a shape 4 units to the left and 5 units down?

Back

Each point of the shape moves 4 units left and 5 units down from its original position.

Front

If triangle A'B'C' is translated to triangle ABC, what does this mean?

Back

It means that triangle A'B'C' has been moved to the position of triangle ABC without changing its shape or size.