6.4 Similar Triangles

Front

What does AA Similarity mean in triangles?

Back

AA Similarity means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What is SSS Similarity?

Back

SSS Similarity states that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

Define SAS Similarity.

Back

SAS Similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angle is equal, then 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, SSS, or SAS similarity criteria.

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, the triangles are similar.

Front

What does it mean if triangles are 'Not Similar'?

Back

If triangles are 'Not Similar', it means they do not satisfy any of the similarity criteria (AA, SSS, SAS).

Front

Example of AA Similarity: If Triangle A has angles 30° and 60°, what can you say about Triangle B if it also has angles 30° and 60°?

Back

Triangle B is similar to Triangle A by AA Similarity.

Front

Example of SSS Similarity: If Triangle C has sides 3 cm, 4 cm, and 5 cm, and Triangle D has sides 6 cm, 8 cm, and 10 cm, are they similar?

Back

Yes, Triangle C and Triangle D are similar by SSS Similarity because the sides are proportional.

Front

Example of SAS Similarity: If Triangle E has sides 5 cm and 12 cm with an included angle of 60°, and Triangle F has sides 10 cm and 24 cm with the same included angle, are they similar?

Back

Yes, Triangle E and Triangle F are similar by SAS Similarity.

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.