Triangle Similarity review

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 the lengths of their corresponding sides are proportional.

Front

What does it mean for two ratios to form a proportion?

Back

Two ratios form a proportion if they are equal to each other, meaning that the cross products of the ratios are equal.

Front

How can you determine if two triangles are similar?

Back

Two triangles can be determined to be similar if they satisfy one of the following criteria: AA (Angle-Angle) similarity, SSS (Side-Side-Side) similarity, or SAS (Side-Angle-Side) similarity.

Front

What is the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is the SSS criterion for triangle similarity?

Back

The SSS criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Front

What is the SAS criterion for triangle similarity?

Back

The SAS criterion states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

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

Back

If two triangles are similar, their corresponding sides are proportional.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

How do you find a missing length in similar triangles?

Back

To find a missing length in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown length.

Front

What is a similarity statement in geometry?

Back

A similarity statement is a statement that indicates that two figures are similar, typically written in the form of a ratio of corresponding sides or using the symbol '~' (tilde) to denote similarity.