Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are in proportion.

Front

What does AA~ stand for in triangle similarity?

Back

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

Front

What does SSS~ stand for in triangle similarity?

Back

SSS~ stands for Side-Side-Side similarity postulate, which states that if the corresponding sides of two triangles are in proportion, the triangles are similar.

Front

What does SAS~ stand for in triangle similarity?

Back

SAS~ stands for Side-Angle-Side similarity postulate, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Front

How can you determine if two triangles are not similar?

Back

If none of the similarity postulates (AA~, SSS~, SAS~) apply, the triangles are not similar.

Front

If two triangles have two equal angles, what can be concluded?

Back

The triangles are similar by the AA~ postulate.

Front

If the sides of triangle A are 3, 4, 5 and the sides of triangle B are 6, 8, 10, are they similar?

Back

Yes, they are similar by SSS~ because the sides are in proportion (1:2).

Front

If triangle C has angles of 30°, 60°, and 90°, and triangle D has angles of 30°, 60°, and 90°, what can be concluded?

Back

The triangles are similar by AA~.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.