Geometry 8.3 Triangle Similarity: AA, SAS, SSS

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. 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. 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. If the three sides of one triangle are proportional to the three sides of another triangle, 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 by AA.

Front

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

Back

If two sides of one triangle are in proportion to two sides of another triangle and the angle between those sides is equal, then the triangles are similar by SAS.

Front

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

Back

If the ratios of the lengths of corresponding sides of two triangles are equal, then the triangles are similar by SSS.

Front

If triangle ABC is similar to triangle DEF, and the lengths of AB and DE are 4 and 8 respectively, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Front

If triangle GHI is similar to triangle JKL and the length of side GH is 5 and side JK is 10, what can you conclude?

Back

The triangles are similar by SSS because the sides are in proportion (5:10 = 1:2).

Front

If two triangles have one angle of 60 degrees and the other angle of 30 degrees, are they similar?

Back

Yes, they are similar by AA because they have two angles equal.

Front

If triangle MNO has sides 3, 4, and 5, and triangle PQR has sides 6, 8, and 10, are they similar?

Back

Yes, they are similar by SSS because the sides are in proportion (3:6, 4:8, 5:10).