Lesson Practice: Similar Triangles Part 2

Front

What is the similarity statement for triangles?

Back

A similarity statement indicates that two triangles are similar, denoted as ΔABC ∼ ΔDEF.

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, 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, the triangles are similar.

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 proportional, 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 AA, SAS, or SSS criteria.

Front

What is the significance of the similarity statement ΔLMN ∼ ΔPQO?

Back

It indicates that triangles LMN and PQO are similar, meaning their corresponding angles are equal and their corresponding sides are proportional.

Front

If two triangles are not similar, what can be concluded?

Back

If two triangles are not similar, it means that they do not satisfy any of the similarity criteria (AA, SAS, SSS).

Front

Provide an example of AA similarity. What are the conditions?

Back

If ∠A = ∠D and ∠B = ∠E in triangles ABC and DEF, then ΔABC ∼ ΔDEF by AA.

Front

Provide an example of SAS similarity. What are the conditions?

Back

If AB/DE = AC/DF and ∠A = ∠D in triangles ABC and DEF, then ΔABC ∼ ΔDEF by SAS.

Front

Provide an example of SSS similarity. What are the conditions?

Back

If AB/DE = AC/DF = BC/EF in triangles ABC and DEF, then ΔABC ∼ ΔDEF by SSS.