September 26th Flashcardziz Triangle Similarity Postulates

Front

What does the SSS Postulate stand for?

Back

Side-Side-Side

Front

What is the AA similarity criterion?

Back

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

Front

What is the SAS similarity criterion?

Back

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

Front

What is the definition of similar triangles?

Back

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

Front

What is the SSS similarity criterion?

Back

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

Front

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

Back

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

Front

What is the relationship between congruent triangles and similarity?

Back

Congruent triangles are similar, but similar triangles are not necessarily congruent.

Front

What does it mean if triangles are not similar?

Back

It means that the triangles do not have the same shape; their corresponding angles are not equal or their corresponding sides are not proportional.

Front

Provide an example of using the SSS Postulate.

Back

If triangle ABC has sides of lengths 3, 4, and 5, and triangle DEF has sides of lengths 6, 8, and 10, then triangle ABC is similar to triangle DEF by SSS.

Front

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

Back

The included angle must be equal for the triangles to be considered similar under the SAS criterion.