4.5 Review Triangle Similarities

Front

What is the AA Similarity Theorem?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the SAS Similarity Theorem?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS Similarity Theorem?

Back

If the three sides of one triangle are proportional to the three sides of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar?

Back

By using the AA, SAS, or SSS similarity criteria.

Tags

CCSS.HSG.SRT.B.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

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar by the SAS Similarity Theorem.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles have all three angles equal, what can be concluded?

Back

The triangles are similar by the AA Similarity Theorem.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

Can two triangles be similar if they have no angles equal?

Back

No, if no angles are equal, the triangles cannot be similar.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is an example of using the SSS Similarity Theorem?

Back

If Triangle A has sides 2, 4, 6 and Triangle B has sides 1, 2, 3, then they are similar because 2:1 = 4:2 = 6:3.

Tags

CCSS.HSG.SRT.B.5