Angle Angle Similarity

Front

What is Angle-Angle (AA) Similarity?

Back

A criterion for determining if two triangles are similar. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for two shapes to be similar?

Back

Same shape, but different size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles have one angle of 30 degrees and another angle of 60 degrees, what can be said about their similarity?

Back

The triangles are similar by AA similarity.

Tags

CCSS.HSG.SRT.A.2

Front

What is the sum of the angles in a triangle?

Back

180 degrees.

Tags

CCSS.8.G.A.5

Front

If triangle A has angles of 30 degrees, 60 degrees, and 90 degrees, what are the angles of a similar triangle?

Back

30 degrees, 60 degrees, and 90 degrees.

Tags

CCSS.HSG.SRT.A.2

Front

Are triangles with angles of 45 degrees, 45 degrees, and 90 degrees similar to triangles with angles of 30 degrees, 60 degrees, and 90 degrees?

Back

No, they are not similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding sides in similar triangles?

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A is similar to triangle B, and the length of a side in triangle A is 4 cm, what can be said about the corresponding side in triangle B?

Back

The length of the corresponding side in triangle B can be found using the ratio of similarity.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, what can be said about their perimeters?

Back

The ratio of their perimeters is the same as the ratio of their corresponding sides.