Similar Triangles

Front

What are similar triangles?

Back

Triangles that have the same shape but may differ in size. Their corresponding angles are equal, and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the AA criterion for triangle similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, the triangles are similar (AA ~).

Tags

CCSS.HSG.SRT.A.2

Front

What is the SSS criterion for triangle similarity?

Back

If the lengths of the corresponding sides of two triangles are proportional, the triangles are similar (SSS ~).

Tags

CCSS.HSG.SRT.B.5

Front

What is the SAS criterion for triangle similarity?

Back

If two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, the triangles are similar (SAS ~).

Tags

CCSS.HSG.SRT.B.5

Front

In similar polygons, what is true about corresponding sides?

Back

Corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

In similar polygons, what is true about corresponding angles?

Back

Corresponding angles are congruent.

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

The ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

If two triangles have one angle equal and the sides including that angle are in proportion, what can be concluded?

Back

The triangles are similar (SAS ~).

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean if two triangles are not similar?

Back

It means that their corresponding angles are not equal and/or their corresponding sides are not proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

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

Back

Check if two angles of one triangle are equal to two angles of another triangle.

Tags

CCSS.HSG.SRT.A.2