精选SAT考试几何部分常用公式
Angles Review
Angle CMB = Angle AMD
Angle AMD + Angle CMA = 180o
Example of SAT question with angles:In the figure below, angle AMB is 100o, angle BMD is 40o and angle CME is 60o. What is the value of angle CMD?
Figure not drawn to scale
20o
30o
40o
50o
80o
Answer: If angle AMB is 100o, then angle BME is 180o - 100o = 80o
BMC + CMD = 40o
BMC + CMD + DME = 80o
If we subtract the 2 equations, DME = 40o
CMD + DME = 60o
BMC + CMD + DME = 80o
If we subtract the 2 equations, BMC = 20o
CMD = BME - BMC - DME = 80o - 40o - 20o = 20o
Parallel Lines Review
If the 2 horizontal lines are parallel,
- angles 1 = 3 = 5 = 7 and
- angles 2 = 4 = 6 = 8
Polygons Review
The sum of the measures of the interior angles of a triangle is 180.
a + b + c = 180o
The sum of the measures of the interior angles of a polygon is:
180o
n = number of sides of the polygon.
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