Triangle Similarity

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle similarity, which states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side similarity, which states that if two sides of one triangle are in proportion to two sides of another triangle and the included angles are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does SSS stand for in triangle similarity?

Back

SSS stands for Side-Side-Side similarity, which states that if the three sides of one triangle are in proportion to the three sides of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the criteria for two triangles to be similar?

Back

Two triangles are similar if they meet any of the following criteria: AA (Angle-Angle), SAS (Side-Angle-Side), or SSS (Side-Side-Side).

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

The triangles are similar by AA similarity, as they have two angles that are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How can you determine if two triangles are not similar?

Back

Two triangles are not similar if they do not meet any of the similarity criteria: AA, SAS, or SSS.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The ratio of similarity is 6:9 or 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

Find the missing length if triangle ABC is similar to triangle DEF and side AC is 12 and side DF is 18.

Back

The missing length is 18, as the triangles are similar and the sides are in 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

If triangle GHI has sides of lengths 4, 6, and 8, and triangle JKL has sides of lengths 2, 3, and 4, are they similar?

Back

Yes, triangle GHI and triangle JKL are similar by SSS similarity, as the sides are in proportion.

Tags

CCSS.HSG.SRT.A.2