Triangle Similarity

Front

What is Triangle Similarity?

Back

Triangle similarity refers to the relationship between two triangles that have the same shape but may differ in size. This means their corresponding angles are equal, and their corresponding sides are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What does the AA Similarity Postulate state?

Back

The AA (Angle-Angle) Similarity Postulate states that if two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS Similarity Theorem?

Back

The SAS (Side-Angle-Side) Similarity Theorem states that if one angle of a triangle is congruent 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 is the SSS Similarity Theorem?

Back

The SSS (Side-Side-Side) Similarity Theorem states that if the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are similar using proportions?

Back

You can determine if two triangles are similar by setting up a proportion between the lengths of corresponding sides and checking if the ratios are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

In similar triangles, corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle A is similar to triangle B, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the Angle-Angle Similarity (AA ~) Theorem?

Back

The AA Similarity Theorem is significant because it provides a quick way to prove triangle similarity using only angle measurements.

Tags

CCSS.HSG.SRT.B.5

Front

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

Back

If two triangles have one angle of 60 degrees and another angle of 30 degrees, they are similar because the third angle must also be 90 degrees, making the angles congruent.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for triangles to be 'not similar'?

Back

Triangles are 'not similar' if their corresponding angles are not equal or their corresponding sides are not in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6