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The sum of the angles in a triangle always equal?
180
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The perimeter of a triangle is the sum of:
- the length of its sides
- a+b+c = # (perimeter)
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Area of triangle formula?
- Base * Height / 2
- A = B*H/2
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The height/altitude of a triangle is always perpendicular to the...
base
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The longest side of a triangle is always the side...
opposite the greatest angle
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The shortest side of a triangle is always the side...
opposite the smallest angle
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Angles inside a Quadrilateral always add up to...
360
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What are the 4 most common Quadrilaterals?
- 1) Square
- 2) Rectangle
- 3) Parallelogram
- 4) Trapezoid
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Perimeter of a square =
4L
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What am I?
1) All sides are same length and opposite sides are parralel
2) All angles = 90
Square
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What am I?
1) Opposite sides are parallel and the same length
2) All angles = 90
Rectangle
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What am I?
1) Opposite sides are parallel and the same length
2) Interior angles add up to 360
Parallelogram
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What am I?
1) Two sides are parallel
2) Interior angles add up to 360
Trapezoid
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Area of a Rectangle =
L * W
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Perimeter of a Rectangle =
2L + 2W
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Area of a Parallelogram =
Base * Height
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Perimeter of a Parallelogram =
2a + 2b
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Rhombus means...
All sides are the same length, but the angles are not 90 degrees.
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Area of a Trapezoid =
1/2(b+c) * H
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Perimeter of a Trapezoid =
a + b + c + d
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Radius Definition:
Describes the distance from the center of the circle to the circle itself.
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Diameter Definition:
Describes the distance from one side of the circle to the other side, intersecting the center. Also twice the length of the radius.
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Chord Definition:
A line that connects any two points on a circle. Not necessarily through the center. Note the diameter is a chord.
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 (pi) =
3.14 or 22/7
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Area of a circle =
r 2
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Circumference =
- 2r or d
- (d=diameter)
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What direction are the quadrants labeled on the coordinate plane?
Counterclockwise. Starting with 1 in upper right.
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All algebraic equations that are linear (no exponents) can be mapped on the coordinate plane as a straight line. With what equation?
y = mx + b
- m = slope
- b = y-intercept
- -b/m = x-intercept
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If the slope = pos value, line points...
up to right
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If the slope = neg value, line points...
down to right
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A right angle triangle is defined by what? And what calculation allows you to calculate the length of one side if you know the other two sides?
Right angle triangle = has one angle equal to 90 deg
- Pythagorean Theorem
- a2 + b2 = c2
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What are the two most common values (or ratio of) used on the GMAT for right triangles & their side lengths?
3,4,5 or 5,12,13
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Two other very common right triangles are?
30/60/90 & 45/45/90
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30/60/90 Triangles always have sides in what proportions?
1, √3, 2 or x, x√3, 2x
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For any right triangle you need how many sides to solve for another side?
Need 2 sides to solve for 1
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In a 30/60/90 triangle 2x = short, med, or long side? And where is located?
2x = longest side & is always opposite the the 90 degree
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