Similar Triangles and Proportions Flashcard

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 scale factor in similar triangles?

Back

The ratio of the lengths of corresponding sides of two similar triangles.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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 scale factor?

Back

2 (DE/AB = 8/4 = 2).

Tags

CCSS.HSG.SRT.A.2

Front

How do you determine if two triangles are similar?

Back

Two triangles are similar if: 1) Their corresponding angles are equal, or 2) The lengths of their corresponding sides are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is a proportion in mathematics?

Back

An equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

Solve the proportion: 3/x = 6/12

Back

x = 6.

Tags

CCSS.7.RP.A.2C

Front

What is the Cross-Multiplication Method?

Back

A method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Tags

CCSS.7.RP.A.3

Front

If two angles of one triangle are equal to two angles of another triangle, what can be said about the triangles?

Back

The triangles are similar (AA criterion for similarity).

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

The lengths of corresponding sides of similar triangles are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Solve for k in the proportion: 5/k = 10/20

Back

k = 10.

Tags

CCSS.7.RP.A.2B