# Use Proportions to Solve Geometric Problems - PowerPoint PPT Presentation

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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.

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.

### Proportion Properties cont.

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

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### True or False?

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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