Download Meet 2 "Cheat Sheet"

Meet 2 Cheat Sheet. GEOMETRY TOPICS: Quadrilaterals and polygons
What To Know:
• The sum of the interior angles in a polygon is 180(n-2)
• The sum of the exterior angles in a polygon is 360 (for any n)
• Parallelograms have the following properties:
o Opposite sides (and angles) are congruent
o Consecutive angles are supplementary
o Diagonals bisect each other
• Rectangles have all the properties of p-grams, plus diagonals are congruent.
• Rhombi have all the properties of p-grams, plus diagonals are perpendicular and bisect
the angles.
• Square have all the properties of rectangles and rhombi.
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Trapezoids have exactly one pair of parallel sides.
In an isosceles trapezoid, both pairs of base angles are congruent, as are the diagonals.
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Theorems involving parallel lines:
If three parallel lines cut off congruent segments on one transversal, then they cut off
congruent segments on every transversal.
The segment that joins the midpoints of two sides of a triangle is parallel to the third side
and is ½ the length of the third side. (corollary: The triangle formed by joining the
midpoints of the three sides of a triangle has half the perimeter).
The segment that joins the legs of a trapezoid (called the median) is parallel to the bases
and has a length equal to the average of the base lengths.
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What To Watch Out For:
• It may be helpful to add lines to diagrams (especially parallel lines).
• Diagrams are often not drawn to scale.
Algebra: TOPICS: Algebraic fractions, quadratics, factoring, factor/remainder theorems.
What To Know:
• Polynomial equations are typically solved by setting equal to zero, factoring, then setting
each factor equal to zero.
• The basic ways to factor are: GCF, “reverse FOIL,” difference of squares, and grouping.
• The quadratic formula might be helpful. Know it.
• To factor
, use
√
√ .
• Algebraic fractions are manipulated the same way numerical fractions are.
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Algebraic equations are solved by multiplying both sides by the least common
denominator.
The possible rational roots of the polynomial
are
Polynomials may be divided using long division or synthetic division.
When f(x) is divided by x-a, the remainder = f(a)- so,
o if the remainder is 0, then x-a is a factor of f(x), meaning a is a root or solution of
f(x)=0
o if the remainder is not 0, then it tells you what you’d get if you plug a into f(x).
What To Watch Out For:
• Don’t reduce algebraic fractions unless they are in factored form.
• When solving a fractional equation, make sure the solutions work in the original
equation.
Advanced Math TOPICS: Exponential and logarithmic functions
What To Know:
• To solve an equation in the form
, rewrite a and b using a common base, then set
powers equal.
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means the same thing as
•
means
• Properties of logs:
• log
log
• log /
log
• log
• To solve an equation with logs in it, isolate the log (using properties), then rewrite in
exponential form.
What To Watch Out For:
• log
, etc.
• When solving equations, make sure the solutions work in the original equation.