Use proportions to solve geometric problems
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Use Proportions to Solve Geometric Problems. 6.2. Proportion Properties. The Reciprocal Property: If two ratios are equal, then their reciprocal is also equal. Basically, you can flip ratios to make new equivalent ratios. Examples. If , then. Proportion Properties.

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Use Proportions to Solve Geometric Problems

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Use proportions to solve geometric problems

Use Proportions to Solve Geometric Problems

6.2


Proportion properties

Proportion Properties

  • The Reciprocal Property:

    • If two ratios are equal, then their reciprocal is also equal.

    • Basically, you can flip ratios to make new equivalent ratios.


Examples

Examples

If , then


Proportion properties1

Proportion Properties

  • If you have 2 ratios equal to each other, then the numerators can be turned into a new ratio and the denominators into another new ratio.


Examples1

Examples


Proportion properties cont

Proportion Properties cont.

  • You can add the denominator of each ratio to the numerator to get a new ratio.


Examples2

Examples


True or false

True or False?

true

true

false

true


True or false1

True or False?

false

true

true

true


True or false2

True or False?

false

true

true


Use proportions to solve geometric problems

BA = 12, BD = x – 3 = 12 – 3 = 9


Use proportions to solve geometric problems

What do I know?

XW = 1, XY = 3, YZ = 2, and WV is unknown so WV = x

1(2) = 3x

2 = 3x


Use proportions to solve geometric problems

SR = 3, RQ = 4, ST = 6, and TU = x


Use proportions to solve geometric problems

BC = x, AB = 12, CD = 24, and DE = 18


Use proportions to solve geometric problems

HI = 21, GH = 14, JK = x, and KD = 12


Worksheet

Worksheet


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