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Problem Solving in geom. w/ proportions. Proportion Properties. If then If then. Example True or False. If ,then If ,then. true. FALSE!. Should be a 4!!!. In the diagram.
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Proportion Properties If then If then
ExampleTrue or False If ,then If ,then true FALSE! Should be a 4!!!
In the diagram Using Properties of Proportions AB AC = BD CE Find the length of BD. Do you get the fact that AB ≈ AC? Slide #4
Solution AB = AC BD CE 16 = 20 x 10 20x = 160 x = 8 Given Substitute Cross Product Property Simplify So, the length of BD is 8. Slide #5
Example: in the diagram,find LQ. 6 M N 13 15 LQ = 14 4 Q L P
LISTEN UP! • The Geometric mean between 2 positive #’s a & b is x where • Find the geometric mean of 4 & 9. 36=x2 6=x
Examples of Proportions A 30 16 B C 10 D E