Unit 6: Flashcardziz #2: Proving Triangles Similar

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, then 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, then 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 three sides of one triangle are in proportion to the three sides of another triangle, then the triangles are similar.

Front

What is the AAS similarity criterion?

Back

AAS stands for Angle-Angle-Side, which states that if two angles and a non-included side of one triangle are equal to two angles and the corresponding non-included side of another triangle, then the triangles are similar.

Front

How can you determine if two triangles are similar using the AA criterion?

Back

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

Front

If two triangles have sides in the ratio 2:3, are they similar?

Back

Not necessarily. To determine similarity, you must also check the angles. If the angles are not equal, the triangles are not similar.

Front

What is the significance of the included angle in the SAS similarity criterion?

Back

The included angle is crucial in the SAS criterion because it must be equal for the triangles to be considered similar.

Front

Provide an example of triangles that are similar by the AA criterion.

Back

If Triangle A has angles of 30° and 60°, and Triangle B has angles of 30° and 60°, then Triangle A ~ Triangle B by AA.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

If Triangle MNL is similar to Triangle OPQ, what can be said about their corresponding angles?

Back

The corresponding angles of Triangle MNL and Triangle OPQ are equal.