3.3 Similar Triangles - Angles

Front

What is the definition of similar triangles?

Back

Triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Front

What does AA∼ stand for in triangle similarity?

Back

AA∼ stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

Their corresponding angles are congruent.

Front

What is the Side-Angle-Side (SAS) similarity theorem?

Back

If an angle of one triangle is equal to an angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Front

What is the Side-Side-Side (SSS) similarity theorem?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Front

Can two triangles be similar if only one pair of angles is equal?

Back

No, at least two pairs of angles must be equal for the triangles to be similar.

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The ratios of the lengths of corresponding sides are equal.

Front

What does it mean for angles to be congruent?

Back

Angles that have the same measure.