Angle-Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

Angle-Angle (AA) Similarity is a criterion for determining if two triangles are similar. If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

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

Back

The angles of a similar triangle would also be 30° and 60°.

Front

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

Back

To determine if two triangles are similar using AA similarity, check if two pairs of corresponding angles are equal.

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of the corresponding sides of similar triangles are proportional.

Front

If triangle A has sides of length 3, 4, and 5, what are the possible side lengths of a similar triangle?

Back

Possible side lengths could be in the ratio of 3:4:5, such as 6, 8, and 10.

Front

What is the significance of the AA similarity postulate in geometry?

Back

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

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 6, what could be the length of the corresponding side in triangle B if the ratio is 2:1?

Back

The corresponding side in triangle B would be 3.

Front

What is the formula for finding the scale factor between two similar triangles?

Back

The scale factor is found by dividing the length of a side of one triangle by the length of the corresponding side of the other triangle.

Front

If triangle A has a side length of 12 and triangle B has a corresponding side length of 8, what is the scale factor from triangle A to triangle B?

Back

The scale factor from triangle A to triangle B is 2:3.