Geometry Finals
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Created by:
ssttuuddyy16 on June 2, 2011
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41 terms
Terms | Definitions |
|---|---|
 Sine ∅ = Opposite/ Hypotenuse | SOH |
| Cosine ∅ = Adjacent/ Hypotenuse | CAH |
| Tangent ∅ = Opposite/ Adjacent | TOA |
| Angle of Elevation | Angle that is formed when looking up. The angle is formed with the horizon line |
| Angle of Depression | Angle that is formed when looking down. The angle is formed with the horizon line. |
| (x1 + x2) ÷ 2, (y1 + y2) ÷ 2 | Equation for midpoint |
| √(x2-x1) 2 + (y2- y1) 2 | Distance Equation |
| y= mx + b | Slope Intercept Form |
| y-y1 = m(x-x1) | Point Slope Form |
| y2-y1/ x2-x1 | Slope |
| A=1/2b⋄h | Triangle |
| A= s2 √3 / 4 | Equilateral Triangle |
| A=s⋄s | Square |
| A=b⋄h | Rectangle, Parallelogram |
| A=1/2h (b1 + b2) | Trapezoid |
| A= 1/2 apothem x perimeter | Regular Polygons |
| A=pi r 2 | Circle (area) |
| C= 2 pi r | Circumfrence |
| Central Angle/ 360 x pi r 2 | Sector of a Circle |
| Central Angle/ 360 x 2 pi r | Arclength of a Circle |
| Radius | The given distance from the center point; Any segment that going a point (on the circle) to the center point |
| Chord | A segment whose endpoints lie on the circle |
| Diameter | A chord that passes or contains the center point of a circle |
| Secant | A line that contains a chord |
| Tangent | A line in a plane that intersects a circle at exactly one point |
| Point of Tangency | The single point where a tangent line and a point of a circle intersect. |
| Sphere | The set of all the points in a space that are given a certain distance from the center point |
| Congruent Circles/Spheres | Circles/Spheres with the same radii |
| Concentric Circles | Circles that lie in the same plane and have the same center point |
| Concentric Spheres | Spheres that have the same center point |
| Inscribed | When a polygon is drawn inside of a circle and each vertex of the polygon lies on the circle. (Refers to the polygon) |
| Circumscribed | When a circle is drawn around a polygon and each vertex of the polygon lies on the circle. (Refers to the circle) |
| "Lawsuit theorem" | When a radius meets a tangent, a right angle is formed (converse works as well) |
| "Ice cream cone theorem" | Tangents to a circle from the same point are congruent |
| "Silent duck theorem" | A radius perpendicular to a chord bisects the chord and its arc |
| "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) |
| "Pizza theorem" | Then central angle equals the arc |
| "Pac man theorem" | The inscribed angle equals half the arc (same for tangent chord angles) |
| Inscribed quadrilateral theorem | Opposite angles of a quadrilateral inscribed in a circle are supplementary |
| Chord Chord Angle Equation | a+b / 2 = x |
| x= a -b/2 | Tangent Tangent; Secant Secant; Tangent Secant Angle Equation |
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