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, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How many degrees are in a triangle?

Back

180 degrees

Tags

CCSS.8.G.A.5

Front

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

Back

Yes, because they have two angles that are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between corresponding angles in similar triangles?

Back

Corresponding angles in similar triangles 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 in similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles be similar if only one angle is equal?

Back

No, two triangles cannot be similar with only one angle equal; at least two angles must be equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the sum of the angles in any triangle?

Back

The sum of the angles in any triangle is always 180 degrees.

Tags

CCSS.8.G.A.5

Front

If triangle GHI has angles of 40 degrees and 70 degrees, what is the measure of the third angle?

Back

The third angle is 70 degrees (180 - 40 - 70 = 70).

Tags

CCSS.8.G.A.5

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6