Math A

Formula Sheet
... basic formulas to be used for review.
A formula sheet is
NOT provided on the
Math A Examination.

 

Area and Perimeter Formulas

Perimeter = distance around the outside (add all sides).

Volume and Surface Area



Trigonometric Formulas

Right Triangle Formulas



Triples:  3,4,5     5,12,13       8,15,17

Coordinate Geometry Formulas
 Distance Formula:

Midpoint Formula:

Slope Formula:

            

Parallel lines have equal slope.
Perpendicular lines have negative reciprocal slopes.

Equations of Lines

Slope-Intercept Method:

Point-Slope Method:

Equations of Circles
and Parabolas 
Circle, center at origin:

Circle, center at (h,k):

Parabola:
 

Angle Information

Complementary angles - two angles whose sum is 90.

Supplementary angles - two angles whose sum is 180.

 

Parallel Lines

Corresponding angles are equal. <1=<5, <2=<6, <3=<7, <4=<8

Alternate Interior angles are equal. <3=<6, <4=<5

Alternate Exterior angles are equal. <1=<8, <2=<7

Same side interior angles are supplementary.
m<3+m<5=180,    m<4+m<6=180


 

General Triangle Info

Sum of angles of triangle = 180.

Measure of exterior angle of triangle = the sum of the two non-adjacent interior angles.

The sum of any two sides of a triangle is greater than the third side.

 

Polygons

Sum of Interior Angles:

Sum of Exterior Angles:

Each Interior Angle (regular poly):

Each Exterior Angle (regular poly):

 


 

Probability

Probabilities are never greater than 1 or less than 0.

Complement:

P(A and B) = P(A)•P(B)
For AND, multiply individual probabilities.  Check for replacement.

P(A or B) = P(A)+P(B)-P(A and B)
For OR, add the individual probabilities and subtract the overlap.

Factorial:
n! = n(n-1)(n-2)(n-3)...1

Similar Triangles

 Two triangles are similar if the corresponding angles are congruent and the corresponding sides are in proportion.

Additional method of solution:  A line  parallel to one side of a triangle divides the non-parallel sides proportionally.

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