Geometry Chapter 7: Similarity

Front

What is the AA similarity theorem?

Back

The AA (Angle-Angle) similarity theorem 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 does SAS similarity theorem stand for?

Back

SAS (Side-Angle-Side) similarity theorem states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are congruent, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the SSS similarity theorem?

Back

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?

Back

You can determine if two triangles are similar by using the AA, SAS, or SSS similarity theorems.

Tags

CCSS.HSG.SRT.A.2

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, meaning 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 Side Splitter Theorem?

Back

The Side Splitter Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

Yes, they are similar by the AA similarity theorem, as they have two angles that are congruent.

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, meaning the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 cm and side DE is 9 cm, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 6:9, which simplifies to 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the Angle-Angle similarity theorem in geometry?

Back

The AA similarity theorem is significant because it provides a quick way to prove triangle similarity without needing to measure side lengths.

Tags

CCSS.HSG.SRT.B.5