Dilation and Similarity Review

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if they have the same shape but not necessarily the same size. This means their corresponding angles are congruent and their corresponding sides are in proportion.

Front

What is the relationship between the angles of similar figures?

Back

If two figures are similar, their corresponding angles are congruent.

Front

What is AA Similarity?

Back

AA Similarity (Angle-Angle Similarity) states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Front

What is SAS Similarity?

Back

SAS Similarity (Side-Angle-Side Similarity) states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Front

What is the criteria for determining if two triangles are similar?

Back

The criteria for triangle similarity include AA Similarity, SAS Similarity, and SSS Similarity (Side-Side-Side Similarity).

Front

What does SSS Similarity state?

Back

SSS Similarity states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

How can you prove that two triangles are similar using angle measures?

Back

You can prove that two triangles are similar by showing that two pairs of corresponding angles are congruent.

Front

What is the significance of congruent angles in similar figures?

Back

Congruent angles in similar figures indicate that the figures maintain the same shape, which is essential for establishing similarity.

Front

Can two triangles be similar if they have no congruent angles?

Back

No, two triangles cannot be similar if they have no congruent angles, as angle congruence is a requirement for similarity.

Front

What is the importance of proportional sides in determining triangle similarity?

Back

Proportional sides are important because they ensure that the triangles maintain the same shape, which is a key aspect of similarity.