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Similar Polygons
two polygons whose corresponding angles are congruent and whose corresponding sides are proportional
Triangle Similarity
AA, SSS, SAS
Law of Cosines
a²=b²+c²-2bcCosA
Law of Sines
sinA/a = sinB/b = sinC/c
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.
Center-Radius Form
(x-h)²+(y-k)²=r²
How Do You Complete the Square?
Add (b/2)^2 to both sides of the equation
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
What is a chord of a circle?
A chord is a line segment joining two points on a circle.
Chord Theorum
A radius is perpendicular to a chord of a circle if it bisects the chord
Tangent theorum
If two tangent segments share a common endpoint outside of a circle, then they are congruent
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)
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
Circumference
2πR
Area of a Circle
πR²
Arc Length
(x/360)2πR or (x/2π)2πR
Sector Area
(x/360)πR² or (x/2π)πR²
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.
Note 
Flashcard (83)