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

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

  • 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.


Examples


Proportion Properties cont.

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


Examples


True or False?

true

true

false

true


True or False?

false

true

true

true


True or False?

false

true

true


BA = 12, BD = x – 3 = 12 – 3 = 9


What do I know?

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

1(2) = 3x

2 = 3x


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


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


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


Worksheet


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