Similarity

Front

What does it mean for two figures to be congruent?

Back

Two figures are congruent if they have the same size and shape.

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but different sizes.

Front

What is a dilation in geometry?

Back

A dilation is a transformation that changes the size of a figure but not its shape.

Front

How do dilations affect the angles of a polygon?

Back

Dilations do not change the angles of a polygon.

Front

What is the scale factor in a dilation?

Back

The scale factor is the ratio of the lengths of corresponding sides of the original figure to the dilated figure.

Front

If two triangles have corresponding angles that are equal, what can we say about them?

Back

The triangles are similar.

Front

If the sides of a triangle are doubled, what happens to the area?

Back

The area of the triangle becomes four times larger.

Front

What is the relationship between corresponding sides of similar figures?

Back

The lengths of corresponding sides of similar figures are proportional.

Front

Can two figures be similar if they have different shapes?

Back

No, two figures cannot be similar if they have different shapes.

Front

What is the criteria for triangle similarity?

Back

Triangles are similar if they have two pairs of corresponding angles that are equal.