7.1 - 7.4 Proportions

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the terms and then isolate the variable.

Tags

CCSS.6.EE.B.7

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

State the similarity statement for two similar triangles with angles A, B, and C.

Back

If triangle ABC is similar to triangle DEF, then the similarity statement is: triangle ABC ~ triangle DEF.

Tags

CCSS.HSG.SRT.A.2

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio.

Tags

CCSS.6.RP.A.3A

Front

If a/b = c/d, what is the relationship between a, b, c, and d?

Back

The relationship is that a * d = b * c.

Tags

CCSS.7.RP.A.2A

Front

How can you determine if two polygons are similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the formula for finding the scale factor between two similar figures?

Back

The scale factor is found by dividing the length of a side of one figure by the length of the corresponding side of the other figure.

Tags

CCSS.7.G.A.1

Front

If two triangles have sides of lengths 3, 4, and 5 and 6, 8, and 10, are they similar?

Back

Yes, they are similar because the sides are in proportion (3:6 = 1:2, 4:8 = 1:2, 5:10 = 1:2).

Tags

CCSS.HSG.SRT.A.2

Front

What is the significance of the AA criterion for triangle similarity?

Back

The AA criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.A.2