3.3 Similar Triangles - Angles

Front

What is the Angle-Angle (AA) similarity theorem?

Back

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

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

If one angle of a triangle is congruent to one angle of another triangle and the sides including those 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

How can you determine if two triangles are similar using angles?

Back

If all pairs of corresponding angles are congruent, the triangles are similar.

Front

What is a key indicator that triangles are not similar?

Back

If any pair of corresponding angles is not equal, the triangles are not similar.

Front

What is the relationship between the ratios of corresponding sides in similar triangles?

Back

The ratios of the lengths of corresponding sides of similar triangles are equal.

Front

If two triangles have one angle equal and the sides including that angle are not in proportion, are they similar?

Back

No, they are not similar.

Front

What is the importance of the Angle-Angle (AA) similarity theorem in geometry?

Back

It provides a quick way to prove triangle similarity without needing to measure sides.

Front

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

Back

No, if no angles are equal, the triangles cannot be similar.