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 in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the Angle-Angle (AA) criterion for triangle similarity?

Back

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

What is the Side-Side-Side (SSS) criterion for triangle similarity?

Back

If the corresponding sides of two triangles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

What is the Side-Angle-Side (SAS) criterion for triangle similarity?

Back

If one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion, then the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

Back

The triangles are similar by the property of proportional sides.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the missing side of similar triangles?

Back

Set up a proportion using the lengths of the corresponding sides and solve for the missing side.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of two similar triangles?

Back

The ratio of their areas is equal to the square of the ratio of their corresponding sides.

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 4 cm and side DE is 8 cm, what is the ratio of their sides?

Back

The ratio of their sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is a proportion?

Back

An equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

Back

Tags

CCSS.7.EE.B.3