Triangle Similarity Conditions

Front

What does the Angle-Angle Similarity (AA ~) Theorem state?

Back

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

Front

How can you determine if two triangles are similar?

Back

You can determine if two triangles are similar by using the AA, SSS, or SAS similarity criteria.

Front

What is the Side-Angle-Side Similarity (SAS ~) Theorem?

Back

If two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

Front

What does SSS Similarity mean?

Back

SSS Similarity means that if the sides of one triangle are proportional to the sides of another triangle, then the triangles are similar.

Front

What is the significance of congruent angles in triangle similarity?

Back

Congruent angles are essential in establishing similarity between triangles, as they indicate that the triangles have the same shape.

Front

What is the definition of similar triangles?

Back

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

Front

Which theorem is not a similarity theorem for triangles?

Back

ASA∼ is not a similarity theorem for triangles.

Front

What is the relationship between proportional sides and triangle similarity?

Back

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

Front

What does the term 'included angle' refer to in the SAS similarity theorem?

Back

The included angle is the angle formed between the two sides being compared in the SAS similarity theorem.

Front

Can two triangles be similar if they do not have any congruent angles?

Back

No, two triangles cannot be similar if they do not have any congruent angles.