Chapter 6.4 AA

Front

What is the AA similarity theorem?

Back

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

Front

What does SAS similarity theorem stand for?

Back

SAS (Side-Angle-Side) similarity theorem states 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 SSS similarity theorem stand for?

Back

SSS (Side-Side-Side) similarity theorem states that if the three sides of one triangle are proportional to the three sides of another triangle, 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 the AA, SAS, or SSS similarity theorems.

Front

What is the height of a tree if it casts a shadow of 12 ft and a 15 ft tall pole casts a shadow of 10 ft?

Back

Using similar triangles, the height of the tree is 15 ft.

Front

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

Back

Yes, they are similar by the AA similarity theorem.

Front

What is the significance of corresponding angles in similar triangles?

Back

In similar triangles, corresponding angles are equal, which is a key criterion for establishing similarity.

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The corresponding sides of triangle ABC and triangle DEF are in proportion.

Front

What is the formula to find the height of an object using similar triangles?

Back

Height = (Height of object 1 / Shadow of object 1) * Shadow of object 2.

Front

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

Back

Yes, they are similar by the SSS similarity theorem.