Triangle Similarity

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What is Triangle Similarity?

Back

Triangle similarity refers to the property of two triangles having the same shape but possibly different sizes. This means that their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What does AA stand for in triangle similarity?

Back

AA stands for Angle-Angle. If two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

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What does SAS stand for in triangle similarity?

Back

SAS stands for Side-Angle-Side. If two sides of one triangle are proportional 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. If the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

The corresponding angles of similar triangles are congruent (equal in measure).

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles are similar, what can be said about their corresponding sides?

Back

The corresponding sides of similar triangles are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

You can set up a proportion comparing the lengths of corresponding sides. If the ratios are equal, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the similarity statement for triangles KLM and KED if they are similar by AA?

Back

Tags

CCSS.HSG.SRT.A.2

Front

What is the missing side if triangle KLM is similar to triangle KED and the sides are in the ratio 2:3?

Back

If the corresponding sides are in the ratio 2:3, you can find the missing side using proportions.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their areas?

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