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27 Cards in this Set
- Front
- Back
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A=bh
(b=Base, h=Height) |
Theorem 10-1 (Area of a Rectangle) |
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A=bh |
Theorem 10-2 (Area of a Parallelogram) |
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A=1/2*bh |
Theorem 10-3 (Area of a Triangle) |
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A=1/2h(b₁+b₂) |
Theorem 10-4 (Area of a Trapezoid) |
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A=1/2d₁d₂ |
Theorem 10-5 (Area of a Rhombus or Kite) |
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A=1/2*a*p
(a=Apothem, p=Perimeter) |
Theorem 10-6 (Area of a Regular Polygon) |
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If the Similarity Ratio of the 2 similar figures is a/b 1. The ratio of their Perimeters is a/b & 2. The ratio of their Area's is a²/b² |
Theorem 10-7(Perimeters & Areas of similar Figures) |
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A=1/2*bc(sinA)
(sin=Sine) |
Theorem 10-8 (Area of a Triangle Given SAS) |
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sinA/a = sinB/b =sinC/c
(Caps. letters: ∠'s, lower case: sides) |
Law Of Sine |
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c²=a²+b²-2abCosC
(Caps. letters: ∠'s, lower case: sides) |
Law Of Cosine |
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The measure of the arc formed by 2 adjacent arcs is the sum of the measures of the other 2 arcs.
mABC = mAB + mBC |
Postulate 10-1 (Arc Addition Postulate) |
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The Length of an arc is the product (*) of the Ratio Measure of the arc/360(degrees) and the Circumference of the Circle. |
Theorem 10-10 (Arc Length) |
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Circle |
a set of all points equidistant from a given point. |
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Center (Of a Circle) |
The point equidistant from the perimeter of a shape (Circle) |
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Radius |
A segment that has 1 endpoint at the center and 1 on the perimeter. |
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Congruent Circles |
Have congruent Radii (plural of radius) |
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Diameter |
A segment that goes all the way through the Circle, and its mid-point (Center). |
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Center Angle |
An Angle whose Vertex is the Center of the Circle. |
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Semicircle |
A half Circle (half of a circle). |
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Minor Angle |
An Angle smaller than a Semicircle. |
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Major Angle |
An Angle larger than a Semicircle (AND a minor angle). |
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Adjacent Arcs |
Arcs in the Same Circle that have only 1 point in common. |
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Cicumference |
The total distance around the Circle (Like a Perimeter). |
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Pi (π) |
The ratio of the Circumference of a circle to its Diameter. |
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The Circumference of a Circle is π times the Diameter |
Theorem 10-9 (Circumference of a Circle) |
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Concentric Circles |
Circles that lie on the Same Plane & Same Center. |
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Arc Lenght |
A fraction of a Circle's Circumference. |
