Similar Triangles: AA Similarity

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

How can you determine if two triangles are similar?

Back

Two triangles are similar if their corresponding angles are equal or if their sides are in proportion.

Front

What is the significance of the AA criterion for triangle similarity?

Back

The AA criterion allows us to conclude that two triangles are similar based solely on the equality of two angles.

Front

If Triangle A has angles of 30° and 60°, what are the angles of a similar Triangle B?

Back

Triangle B will also have angles of 30° and 60°.

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Front

If Triangle A has sides of 3 ft, 4 ft, and 5 ft, what are the sides of a similar triangle with a scale factor of 2?

Back

The sides of the similar triangle will be 6 ft, 8 ft, and 10 ft.

Front

What is a scale factor in the context of similar triangles?

Back

A scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Front

If Triangle A is similar to Triangle B and the length of a side in Triangle A is 5 cm, and the scale factor is 3, what is the length of the corresponding side in Triangle B?

Back

The length of the corresponding side in Triangle B is 15 cm.

Front

What is the formula for finding the area of similar triangles?

Back

The area of similar triangles is proportional to the square of the scale factor.

Front

If the scale factor between two similar triangles is 4, how does this affect their areas?

Back

If the scale factor is 4, the area of the larger triangle is 16 times the area of the smaller triangle.