Triangle Similarity Theorems Practice

Front

What is the Triangle Similarity Theorem?

Back

The Triangle Similarity Theorem states that if two triangles have corresponding angles that are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What does AAA stand for in triangle similarity?

Back

AAA stands for 'Angle-Angle-Angle' and indicates that if two triangles have all three pairs of corresponding angles equal, they are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the SSS similarity criterion?

Back

SSS stands for 'Side-Side-Side' and states that if the lengths of the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the AA similarity criterion?

Back

AA stands for 'Angle-Angle' and states that 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

Can two triangles be similar if they do not have equal angles?

Back

No, two triangles cannot be similar if they do not have equal corresponding angles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the relationship between similar triangles and their corresponding sides?

Back

In similar triangles, the lengths of corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the SAA criterion in triangle similarity?

Back

SAA stands for 'Side-Angle-Angle' and states that if one angle of a triangle is equal to one angle of another triangle and the sides including those angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean if two triangles are not necessarily similar?

Back

It means that the triangles may not have the same shape or size, and their corresponding angles may not be equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the difference between similarity and congruence in triangles?

Back

Similarity means that triangles have the same shape but not necessarily the same size, while congruence means that triangles are identical in both shape and size.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How can you prove that two triangles are similar using the SSS criterion?

Back

To prove similarity using the SSS criterion, show that the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.B.5