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18 Cards in this Set
- Front
- Back
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RATIO |
Comparison of 2 numbers. There are 3 ways to write one. |
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REDUCE A RATIO |
Best practice is to reduce a ratio to its lowest whole number form-this will help you when using them in a problem! |
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EXTENDED RATIO |
These are comparisons of 3 or more numbers. In geometry, we will use this for angle measure, or perimeter problems with polygons. Always written with " : " symbol EX--> 2 : 5 : 6 These are the ratio of angle measures of a triangle. You set it up 2x + 5x + 6x = 180; solve for x, and find your angle measures!! |
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PROPORTION |
Comparison of 2 or more ratios. MUST HAVE THE = SIGN!!! In math you will typically have a variable to solve for. |
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SOLVING A PROPORTION |
Cross multiply and solve for the variable!! |
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(THIS IS GOOD TO KNOW!!) GEOMETRIC MEAN Definition |
The Geometric Mean is a special type of average where we multiply the numbers together and then take a square root (for two numbers), cube root (for three numbers) etc. |
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How to find GEOMETRIC MEAN of 2 numbers |
The 2 numbers are called the "extremes" and x is the mean. CROSS multiply!! You will be using square root to find! |
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Similarity in polygons |
SAME SHAPE, DIFFERENT SIZE! All Dilations create similar figures. ALL corresponding angles are congruent ALL corresponding sides are proportional (this means they reduce to the same ratio) |
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CHECKING FOR PROPORTIONAL SIDES IN POLYGONS! |
If you have 3 ratios, just do this again to the middle and last as well. |
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Right triangle and Geo. Mean theorems (hard to see!) |
Just take you time!! Short leg:long leg: Hyp |
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AA~ Criteria to prove similarity |
Most common and easiest to see |
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SAS~Criteria to prove similarity |
Look for "bunny" angles, and x-product to check sides |
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SSS~Criteria to prove similarity
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X-product twice to check! |
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Parallel lines in triangles Proportion theorem |
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3 parallel lines cut by transversal theorem |
There are numerous others!!! |
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Angle Bisector proportion theorem |
you can also go across to set the proportion up. |
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Median and centroid thrm |
Median connect vertex to midpoint. Intersect at centroid. 1 + 2 = 3!! |
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Linear ratio vs Area Ratio |
Area will be the square of the original, linear (all lines) ratio of the figures. |
