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Geometric proportion and Laws of Proportion
- 2. ratio comparison of two numbers with the same units or different units a:b= a (first number) b (second number)
- 3. proportion equality of two ratios a:b=c:d
- 4. proportion *number in a proportion= TERM a(first term) = c(third term) b(second term) d(fourth term)
- 9. First law of proportion Means-Extremes Product Law of Proportions If a = c , then ad=bc, b d where b≠0, d≠0
- 10. Means-Extremes Product Law of Proportions Example: 4 = 2 x 6
- 11. Means-Extremes Product Law of Proportions Example: 2x = 4(6) 2x = 24
- 12. Means-Extremes Product Law of Proportions Example: 2x = 4(6) 2x = 24 2 2
- 13. Means-Extremes Product Law of Proportions Answer: X=12
- 14. Second law of proportions Switch Means-Switch Extremes law of Proportions If a = c , then a = b and d = c b d c d b a Where a, b, c, and d are nonzero real numbers
- 15. Switch Means-Switch Extremes law of Proportions a:b=c:d a = c b d Switch of Means: a:b=c:d MEANS
- 16. Switch Means-Switch Extremes law of Proportions a:c=b:d a = b c d
- 17. Switch Means-Switch Extremes law of Proportions Switch of Extremes: a:b=c:d EXTREMES d:b= c:a d = c b a
- 18. Third law of proportions Invert-Both-Sides Law of Proportions If a = c , then b = d b d a c Where a, b, c, and d are nonzero real numbers
- 19. fourth law of proportions Denominator-Addition Law of Proportions If a+b = c+d b d Where b≠0, d≠0
- 20. fifth law of proportions Denominator-Substraction Law of Proportions If a-b = c-d b d Where b≠0, d≠0
- 21. Sixth law of proportions Numerator-Denominator Sum Law of Proportions If a = c = e … then, a+c+e = a = c =e b d f b+d+f b d f