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26 Cards in this Set
- Front
- Back
- 3rd side (hint)
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opposite Rays |
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angle
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formed by two Rays that have a common endpoint endpoint
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endpoing
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the vertex of the angle
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side
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each Ray is a "side" of the angle
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postulate 9
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let O be a point on AB such that O is between A and B. All Rays can be drawn from O on one side of AB . These Rays can be paired with the real numbers from 0 to 180 so that
1. OA is paired with 0 and OB is paired with 180 2. If OP is paired with x and OQ is paired with y, then the number paired with <POQ is |x-y| this number is called the measure or the degree measure of <POQ |
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complementary angles
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two angles whose measures have a sum of 90 degrees
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supplementary angles
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two angles whose measures have a sum of 180 degrees
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interior and exterior
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an angle with measure less than 180 degrees divides a plane into 3 sets of points; the angle itself, the points in the interior of the plane and the points in the exterior of the plane.
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Postulate 10
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if point B is in the interior of <AOC, then the m<AOB + m<BOC = m<AOC
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Postulate 11
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if two angles form a linear pair, then they are supplementary
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congruent angles
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angles that are equal in measure
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angle bisector
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for any given angle, it is the Ray that divides the angle into 2 congruent angles
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adjacent angles
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two angles in the same plane that share a common side and common vertex, but have no interior points in common
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linear pairs
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two adjacent angles whose noncommon sides are opposite Rays
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properties of equality
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let a b and c be any real numbers
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distributive property
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use multiplication to distribute a to each term of the sum or difference within parentheses
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properties of congruence
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proof
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a convincing argument that uses deductive reasoning. logically shows why a conjecture is true
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two column proof
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lists each statement on the left and then on the right, gives a reason for the statement
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vertical angle theorem
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vertical angles are congruent
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paragraph proof
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a proof written in senatnce a in a paragraph
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congruent supplements theorem
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if two angles are supplements of the same angle (or of the congruent angle) then the two angles are congruent
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congruent complements theorem
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if two angles are complements of the same angle (or of congruent) then the two angles are congruent
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right angle theoren
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all right angles are congruent
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congruent supplementary right angle theorem
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if two angles are congruent and supplementary, then each is a right angle |
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deductive reasoning
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the process of making logical conclusions from the given statements or facts |
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