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 false true

True or False? false true

True or False? false 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) = 3x2 = 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