Triangle Similarity Postulate Review

Front

What does SSS stand for in triangle similarity?

Back

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

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side similarity, which 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

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which 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 HL similarity theorem?

Back

The HL (Hypotenuse-Leg) similarity theorem states that if the hypotenuse and one leg of a right triangle are proportional to the hypotenuse and one leg of another right triangle, then the triangles are similar.

Front

Can you prove triangle similarity using HL similarity for non-right triangles?

Back

No, HL similarity can only be used to prove similarity in right triangles.

Front

If two triangles have two pairs of corresponding angles that are equal, what can be concluded?

Back

The triangles are similar by the AA similarity postulate.

Front

If two triangles have their sides in the ratio 3:4:5, what can be said about their similarity?

Back

If another triangle has sides in the ratio 3:4:5, then the two triangles are similar by the SSS similarity postulate.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

What is the first step to determine if two triangles are similar?

Back

Check if any pairs of corresponding angles are equal or if the sides are in proportion.