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Sum of exterior angles in a polygon |
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Definition
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| number of triangles formed from one vertex in an n-sided polygon |
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| number of diagonals in a polygon |
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| Area = interior + 1/2 exterior - 1 |
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| 5 polyhedra with faces shapes |
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Definition
tetrahedron : 4 triangles cube: 6 squares octahedron: 8 triangles dodecahedron: 12 pentagons icosahedron: 20 triangles |
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Definition
| Faces + Vertices = Edges + 2 |
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| how to find the area of a regular polygon |
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Definition
| divide into n triangles and find the area of one triangle then multiply by n |
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Definition
draw a net and find the area of each face |
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Definition
| Area of the base * height |
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Definition
| draw a net and find the area of each piece |
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Definition
| 1/3 * area of base * height |
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| circumference of a circle |
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Definition
| 2 * pi * radius or pi * diameter |
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Definition
| fraction of circle * circumference of circle |
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Definition
| fraction of a circle * area of circle |
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| central angle - arc relationship |
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Definition
| they are equal in measure |
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| inscribed angle - arc relationship |
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Definition
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| chord-chord angle-arc realtionship |
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Definition
| angle = 1/2 (sum of arcs) |
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| secant-secant angle-arc realtionship |
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Definition
| angle = 1/2(difference of arcs) |
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| tangent-tangent angle arc relationship |
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Definition
| angle and arc are supplements |
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Term
| angles in an inscribed polygon |
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Definition
opposite angles are supplements |
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Term
| Chord-Chord power theorem |
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Definition
| product of pieces are equal |
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| Secant-secant power theorem |
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Definition
| whole * outside = whole * outside |
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| tangent-secant power theorem |
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Definition
| tangent * tangent = whole * outside |
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| tangent tangent power theorem |
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Definition
| two tangents from the same point are equal in length |
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| algebraic formula for a circle |
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Definition
(x - h)^2 + (y - k)^ 2 = r^2 center (h, k) radius = r |
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Definition
| SA = 2 Pi radius + 2 pi radius^2 |
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Definition
SA = pi* r * l + pi * r^2 |
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Definition
| position at the origin, find angle in triangle and then adjust so angle comes from positive x-axis |
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Definition
| y = mx + b, where m = slope and (0, b) is y-intercept |
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| slopes of two perpendicular lines |
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Definition
| slopes are negative reciprocals. |
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