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Circles
honors geo review units 5 and 6
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Geometry & Trigonometry
Circles
10th
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18 Terms
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1
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Similar Polygons
two polygons whose corresponding angles are congruent and whose corresponding sides are proportional
2
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Triangle Similarity
AA, SSS, SAS
3
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Law of Cosines
a²\=b²+c²-2bcCosA
4
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Law of Sines
sinA/a \= sinB/b \= sinC/c
5
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Angle-Bisector Theorem
If a ray bisects an angle of a triangle, it divides the opposite side into segments that are proportional to the adjacent sides.
6
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Center-Radius Form
(x-h)²+(y-k)²\=r²
7
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How Do You Complete the Square?
Add (b/2)^2 to both sides of the equation
8
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What is a line tangent to the circle?
It intersects the circle only once and is always perpendicular to a radius drawn to the intersection point
9
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What is a chord of a circle?
A chord is a line segment joining two points on a circle.
10
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Chord Theorum
A radius is perpendicular to a chord of a circle if it bisects the chord
11
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Tangent theorum
If two tangent segments share a common endpoint outside of a circle, then they are congruent
12
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Measure of an arc is equal to
Measure of its central angle (the angle that is formed by connecting the radius to both ends of the arc)
13
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Inscribed Angle Theorum
If an angle is an inscribed angle, then it has a measure equal to one half the measure of its intercepted arc
14
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Circumference
2πR
15
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Area of a Circle
πR²
16
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Arc Length
(x/360)2πR *or* (x/2π)2πR
17
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Sector Area
(x/360)πR² *or* (x/2π)πR²
18
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Side Splitter Theorem
If a line is parallel to one side of a triangle and intersects the other two sides, then it divides those sides proportionally.
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