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Term 3 - Geometry
formulas from Chapter 10 to Chapter 12
44
Mathematics
10th Grade
05/30/2010

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Cards

Term
What are the sides of a 45-45-90 triangle?
Definition
x-x-x√2
Term
What are the sides of a 30-60-90 triangle?
Definition
x-x√3-2x
Term
What is the formula for the area of a circle?
Definition
pi r2
Term
What is the formula for the circumference of a circle?
Definition
2 pi r
Term
What is a chord?
Definition
a segment that connects two points on a circumference
Term
What is the diameter?
Definition
A chord that runs through the center of the circle
Term
What is a common chord?
Definition
a chord that is shared between two circles
Term
What does the central angle equal?
Definition
the arc measure
Term
What is the formula for arc length?
Definition
central angle/360(2 pi r)
Term
What is a secant line?
Definition
a segment that contains a chord
Term
What is a tangent line?
Definition
a line which touches only one point on a circle
Term
What is a chord-chord angle?
Definition
an angle which is somewhere random in the circle
Term
What is the formula for a chord-chord angle?
Definition
1/2 (arcA + arcB)
Term
What is an inscribed angle?
Definition
an angle that is somewhere on the circumference
Term
What is the formula for an inscribed angle?
Definition
1/2 arc
Term
What is a circumscribed angle?
Definition
an angle that is outside of the circle
Term
What is the formula for a circumscribed angle?
Definition
1/2 (arcA - arcB)
Term
What is the chord-chord power theorem?
Definition
if two chords intersect in the interior of a circle, the product of the segments of one chord is equal to the product of the segments of the other chord
Term
What is the formula for the chord-chord power theorem?
Definition
a*b = c*d
Term
What is the secant-secant power theorem?
Definition
When two secant lines meet to form an angle
Term
What is the formula of the secant-secant power theorem?
Definition
exterior*whole = exterior*whole
Term
What is the secant-tangent power theorem?
Definition
When one secant and one tangent line meet to form an angle
Term
What is the formula for the secant-tangent power theorem?
Definition
exterior*whole = tangent2
Term
What is the formula for the area of a triangle?
Definition
1/2 b*h
Term
What is the formula for the area of a parallelogram?
Definition
b*h
Term
What is the formula for the area of an equilateral triangle?
Definition

s2√3/4

 

Term
What is the formula for the median of a trapezoid?
Definition
1/2(b1+b2)
Term
What is the formula for the area of a trapezoid?
Definition
1/2(b1+b2)h
Term
What is the formula for the area of a kite without using diagonals?
Definition
1/2b(h1+h2)
Term
What is the formula for the area of a kite with diagonals?
Definition
1/2(d1)(d2)
Term
What is the area of a polygon?
Definition
1/2ap
Term
What is the lateral area of a prism or pyramid?
Definition
p*h
Term
What is the formula for the total area of a prism?
Definition
LA + 2B
Term
What is the formula for the total area of a pyramid?
Definition
LA + B
Term
What is the formula for the lateral area of a cylinder?
Definition
Ch
Term
What is the formula of the total area of a cylinder?
Definition
LA + B
Term
What is the formula for the lateral area of a cone?
Definition
1/2Cl
Term
What is the formula for the total area of a cone?
Definition
LA + B
Term
What is the formula of the total area of a sphere?
Definition
4 pi r2
Term
What is the formula of a rectangular box?
Definition

l*w*h

B*h

Term
What is the formula for the volume a cylinder?
Definition
Bh
Term
What is the formula for the volume of a pyramid?
Definition
1/3Bh
Term
What is the formula for the volume of a cone?
Definition
1/3 Bh
Term
What is the formula for the volume of a sphere?
Definition
4/3 pi r3
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