7BOBO-dHHHHHH-XH-@-W  -ݬ -Z(`{@xHH(FG(HH(d'@-d (dl `/AA-l-p *-|-9v -!4 SDSET~-|*-(j,hj,hj*+Z23hide}~79ab  IJ!"qrbhiUde  01{|FG ' ;   x y . / n o   , -    j k hi 3     ' (          (-ݤ-- *READING GUIDE UNIT 9 USING RATIOS AND PROPORTIONS 1. A comparison of two numbers is a _______________. 2. When two ratios are equal, you have a _______________. 3. The comparison of two quantities is a _______________. 4. Many ratios compare a part to a _______________. 5. Some ratios, such as the ratio of a circles diameter to its radius, have a _______________ value. 6. When both terms of a ratio have the same units, the ratio is called a _______________ _______________. 7. If a ratio is used to compare measures with different units, the units _______________ be given in the ratio. 8. Ratios can be written using the words _______________ or _______________. 9. Per means for each _______________. 10. What are three ways to write a ratio? a. b. c. 11. Many ratios are also known as _______________. 12. Which punctuation mark can be used to write ratios? _______________. 13. In some instances, if the ratio is a fraction you may be able to _______________ it. Such as 3 to 12 can be written as 1 to 4. 14. Be sure to change the _______________ to the same form before simplifying. 15. If the _______________ forms of the fractions for two ratios are equal, then the ratios are _______________. HOW TO DETERMINE IF TWO RATIOS ARE EQUAL 16. Ratios a = c are equal when the cross multiplication (products) of b d _____ x _____ and _____ x _____ are _______________. 17. Similar figures may have different sizes, but they will have the same _______________. 18. If two figures are similar, the ratios of the _______________ (or matching) sides are the same. 19. An expressions that equates one ratios to another is called a _______________. 20. An expression written in this form is a proprotion only if the first ratio _______________ the second ratio. 21. The _______________ sides of similar figures are always proportional. 22. To find the unknown term in this proportion, 3 = y , you: 5 10 Use one of these three methods: *Multiply _____ x _____ , and divide this answer by _____, y equals _____. *Or ask yourself what do I do to the 5 to get a 10 - answer, I multiply by _____. Therefore I do the same to the 3 and y equals _____. *The cross products of the proportion are 3 x 10 = 30 and 5 x y = _____ Therefore 30 = 5y Divide each side by _____ to get the y by itself and y equals _____ LETS SUMMARIZE 23. First, write a proportion in _______________ to make sure you use the same comparison of both ratios. 24. Then put in the _______________ you know, letting a _______________ such as y stand for the unknown number. 25. Convert _______________ so that they are the same in the matching terms of the comparison. 26. To find the unknown value y, equate the products of the cross terms to get an equation that involves y. Then solve the equation for _____. 27. Ask yourself if the answer for y is a reasonable answer. To check, write the proportion and find the cross products of the cross terms to see if they are really _______________. 28. The slope of a roof is the ratio of the _______________ of the rafter to the _______________ of the building. Slope = __________ (this should be written as a fraction using the words rise and run) 29. Two quantities are said to be directly related when if one _______________, so does the other one. 30. Two quantities that increase together in step, or decrease together in step are said to be _______________ _______________. 31. When one quantity increases and the other quantity decreases, they are said to be _______________ _______________. 32. Two quantities are said to be _______________ _______________ if one increases in step when the other decreases - or visa versa.DSET|(H*8 6*8DSET(H-x8y8jzj6*8DSETR *-L-D   *|Unit 9 reading guideDSETR@-|-l-8-   -ݸ