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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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.



Proportion properties cont
Proportion Properties cont.

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



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



What do I know?

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

1(2) = 3x

2 = 3x






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