SECTION 7.2SCALED DIAGRAMS ANDREDUCTIONS
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REDUCTIONS
A reduction will reduce the size of an object to a smallerdiagram
Reductions occur in maps, floor plans, and miniatures
Reductions occur when the scaled factor is between 0 and 1
ie: A scaled factor of means that the scaled diagram is10 times smaller than the actual image “REDUCTION”
Ie: a scaled factor of “10” means that the scaled diagram is10 times larger than the actual image “ENLARGEMENT”
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EX: GIVEN EACH SCALED FACTOR, DETERMINE THE LENGTHOF THE SCALED DIAGRAM:
Actual Object:
Scaled Factor
Scaled Diagram:
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FINDING SCALE FACTORS
Divide the length of the scaled object by the length of theactual object
When calculating the scaled factor, make sure both objectshave the same units, ie: cm, m, mm
If they are not, convert them into the same units first
NOTE: The scaled factor itself does not have any units
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EX: FIND THE SCALED FACTOR FOR THE FOLLOWING:
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EX: IF THE RADIUS OF THE EARTH IS 6378KM AND THERADIUS OF JUPITER IS 71492KM, WHAT IS THE SCALEDFACTOR AND THE SIZE OF THE EARTH MODEL IF THERADIUS OF THE JUPITER MODEL IS 30CM?
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Miniature World
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