5.10 Congruence vs Similarity

Front

What is the definition of congruence in geometry?

Back

Congruence means that two figures have the same shape and size, and can be superimposed on each other.

Front

What is the definition of similarity in geometry?

Back

Similarity means that two figures have the same shape but not necessarily the same size; their corresponding angles are equal and their corresponding sides are proportional.

Front

Are two triangles with the same angles always similar?

Back

Yes, two triangles with the same angles are always similar, regardless of their size.

Front

What is the relationship between corresponding sides of similar figures?

Back

The corresponding sides of similar figures are proportional.

Front

If triangle A is similar to triangle B, what can we say about their angles?

Back

The corresponding angles of triangle A and triangle B are congruent.

Front

What does it mean for two triangles to be similar?

Back

It means that their corresponding angles are equal and their corresponding sides are in proportion.

Front

If two triangles are congruent, what can we say about their sides?

Back

If two triangles are congruent, their corresponding sides are equal in length.

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

Can two triangles be similar if they have different side lengths?

Back

Yes, two triangles can be similar even if their side lengths are different, as long as their angles are equal.

Front

What is the SSS similarity criterion?

Back

The SSS similarity criterion states that if the sides of two triangles are in proportion, then the triangles are similar.