Triangle Similarity

Front

What is the AA similarity criterion in triangle similarity?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the significance of the similarity statement ΔYZX~ΔNWE?

Back

The similarity statement ΔYZX~ΔNWE indicates that triangle YZX is similar to triangle NWE, meaning their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are similar using the SSS criterion?

Back

The SSS (Side-Side-Side) similarity criterion 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 relationship between congruent triangles and similar triangles?

Back

Congruent triangles are a specific case of similar triangles where all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

If triangle ABC is similar to triangle DEF, what can be said about their corresponding sides?

Back

The lengths of the corresponding sides of triangle ABC and triangle DEF are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of corresponding sides in similar triangles?

Back

Corresponding sides in similar triangles are the sides that are in the same relative position in each triangle.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you find the length of a corresponding side in similar triangles?

Back

To find the length of a corresponding side in similar triangles, use the ratio of the lengths of the corresponding sides and set up a proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the angles of similar triangles?

Back

The corresponding angles of similar triangles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

What is the SAS similarity criterion?

Back

The SAS (Side-Angle-Side) similarity criterion states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5