table

glossary

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1.
"Ice cream cone theorem": Tangents to a circle from the same point are congruent

2.
"Lawsuit theorem": When a radius meets a tangent, a right angle is formed (converse works as well)

3.
"Pac man theorem": The inscribed angle equals half the arc (same for tangent chord angles)

4.
"Pizza theorem": Then central angle equals the arc

5.
"Silent duck theorem": A radius perpendicular to a chord bisects the chord and its arc

6.
"Tennis ball theorem": Congruent arcs have congruent chords (converse works as well); Chords equidistant from the center of the same circle are congruent(converse works as well)

7.
(x1 + x2) ÷ 2, (y1 + y2) ÷ 2: Equation for midpoint

8.
√(x2-x1) 2 + (y2- y1) 2: Distance Equation

9.
A= 1/2 apothem x perimeter: Regular Polygons

10.
A= s2 √3 / 4: Equilateral Triangle

11.
A=1/2b⋄h: Triangle

12.
A=1/2h (b1 + b2): Trapezoid

13.
A=b⋄h: Rectangle, Parallelogram

14.
A=pi r 2: Circle (area)

15.
A=s⋄s: Square

16.
Angle of Depression: Angle that is formed when looking down. The angle is formed with the horizon line.

17.
Angle of Elevation: Angle that is formed when looking up. The angle is formed with the horizon line

18.
C= 2 pi r: Circumfrence

19.
Central Angle/ 360 x 2 pi r: Arclength of a Circle

20.
Central Angle/ 360 x pi r 2: Sector of a Circle

21.
Chord: A segment whose endpoints lie on the circle

22.
Chord Chord Angle Equation: a+b / 2 = x

23.
Circumscribed: When a circle is drawn around a polygon and each vertex of the polygon lies on the circle. (Refers to the circle)

24.
Concentric Circles: Circles that lie in the same plane and have the same center point

25.
Concentric Spheres: Spheres that have the same center point

26.
Congruent Circles/Spheres: Circles/Spheres with the same radii

27.
Cosine ∅ = Adjacent/ Hypotenuse: CAH

28.
Diameter: A chord that passes or contains the center point of a circle

29.
Inscribed: When a polygon is drawn inside of a circle and each vertex of the polygon lies on the circle. (Refers to the polygon)

30.
Inscribed quadrilateral theorem: Opposite angles of a quadrilateral inscribed in a circle are supplementary

31.
Point of Tangency: The single point where a tangent line and a point of a circle intersect.

32.
Radius: The given distance from the center point; Any segment that going a point (on the circle) to the center point

33.
Secant: A line that contains a chord

34.
Sine ∅ = Opposite/ Hypotenuse: SOH

35.
Sphere: The set of all the points in a space that are given a certain distance from the center point

36.
Tangent: A line in a plane that intersects a circle at exactly one point

37.
Tangent ∅ = Opposite/ Adjacent: TOA

38.
x= a -b/2: Tangent Tangent; Secant Secant; Tangent Secant Angle Equation

39.
y-y1 = m(x-x1): Point Slope Form

40.
y= mx + b: Slope Intercept Form

41.
y2-y1/ x2-x1: Slope

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