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 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 does the SSS similarity criterion state?

Back

The SSS (Side-Side-Side) similarity criterion states that if the lengths of the corresponding sides of two triangles are proportional, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What does the SAS similarity criterion state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

What does the AA similarity criterion state?

Back

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

Tags

CCSS.HSG.SRT.B.5

Front

How do you determine if two triangles are similar?

Back

To determine if two triangles are similar, check if they satisfy any of the similarity criteria: SSS, SAS, or AA.

Tags

CCSS.HSG.SRT.B.5

Front

Back

Tags

CCSS.HSG.SRT.A.2

Front

Back

Tags

CCSS.HSG.SRT.A.2

Front

Back

Tags

CCSS.HSG.SRT.A.2

Front

How can you solve for a missing side in similar triangles?

Back

To solve for a missing side in similar triangles, set up a proportion using the lengths of the corresponding sides and solve for the unknown.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of similar triangles?

Back

The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.