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.

Tags

CCSS.HSG.SRT.B.5

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.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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°.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Can two triangles with one angle equal and the other two angles different be similar?

Back

No, two triangles cannot be similar if only one angle is equal; all corresponding angles must be equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

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

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

The side lengths of the similar triangle would be 6, 8, and 10.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the scale factor in similar triangles?

Back

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

Tags

CCSS.7.G.A.1

Front

If triangle A is similar to triangle B and the length of a side in triangle A is 5 cm, and the corresponding side in triangle B is 10 cm, what is the scale factor?

Back

The scale factor is 2.

Tags

CCSS.7.G.A.1

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 angles of one triangle are equal to two angles of the other triangle.

Tags

CCSS.HSG.SRT.A.2

Front

What is the importance of Angle-Angle similarity in geometry?

Back

Angle-Angle similarity is important because it provides a simple way to prove that two triangles are similar without needing to know the lengths of their sides.

Tags

CCSS.HSG.SRT.B.5