精選SAT考試幾何部分常用公式

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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

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:

n = number of sides of the polygon.