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Unformatted text preview: 41 Angles and Triangles (The Basic Terms)
A) The basic terms a. Angle i. The union of two noncollinear rays having a common endpoint 1. 2. Sides the two rays of an angle vertex the common end point of the rays 3. ii. When can we use the vertex to name an angle? 1. iii. Is the following an angle 1. (it determines an angle but that doesn't mean that it is one) b. Interior and exterior i. The interior of BAC is the set of all points P in the plane of BAC such that 1. P and B are on the same side of AC
2. P and C are on the same side of AB ii. The exterior of BAC is the set of all points of the plane of BAC that lie neither on the angle nor in its interior. c. Triangle i. If A, B and C are any three noncollinear points, then the union of the segments AB, BC and AC is called a triangle. 1. ii. Naming 1. Use all three letters, in no particular order Symbol: iv. Vertices:
iii. v. Sides: vi. Angles vii. Perimeter: 1. of a triangle is the sum of the lengths of its sides d. Exterior vs. Interior of a triangle i. A point lies in the interior of a triangle if it lies in the interior of each of the angles of the triangle. A point lies in the exterior of a triangle if it lies in the planes of the triangle but does not lie on the triangle or in the interior ii. Exterior exterior Exterior Examples) 1) Name all the angles 2) Describe the intersection a. b. The interior of The interior of KBC and DBK GBE and GBC ...
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 Spring '09
 Johnson
 Algebra

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