September 26th Flashcardziz Triangle Similarity Postulates

Front

What does SSS similarity mean in triangles?

Back

SSS similarity (Side-Side-Side) means that if the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Front

What does SAS similarity mean in triangles?

Back

SAS similarity (Side-Angle-Side) means 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 similarity mean in triangles?

Back

AA similarity (Angle-Angle) means that if two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

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

Back

To determine similarity using SSS, compare the lengths of corresponding sides of the triangles. If the ratios of the lengths of all three pairs of corresponding sides are equal, the triangles are similar.

Front

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

Back

To determine similarity using SAS, check if two sides of one triangle are proportional to two sides of another triangle and if the angle between those sides is equal.

Front

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

Back

To determine similarity using AA, verify that two angles of one triangle are equal to two angles of another triangle. If so, the triangles are similar.

Front

What is the significance of the 'not similar' option in triangle similarity?

Back

The 'not similar' option indicates that the triangles do not meet any of the criteria for similarity (SSS, SAS, AA) and therefore cannot be considered similar.

Front

Provide an example of SSS similarity with triangle sides 3, 4, 5 and 6, 8, 10.

Back

Triangles with sides 3, 4, 5 and 6, 8, 10 are similar by SSS because the ratios of corresponding sides are equal: 3/6 = 4/8 = 5/10 = 1/2.

Front

Provide an example of SAS similarity with triangles having sides 5, 12, and an included angle of 60 degrees and sides 10, 24, and an included angle of 60 degrees.

Back

Triangles with sides 5, 12, and an included angle of 60 degrees and sides 10, 24, and an included angle of 60 degrees are similar by SAS because the sides are proportional (5/10 = 12/24 = 1/2) and the included angles are equal.

Front

Provide an example of AA similarity with triangles having angles 30°, 60° and 90° and angles 30°, 60° and 90°.

Back

Triangles with angles 30°, 60°, and 90° are similar by AA because all corresponding angles are equal.