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Definition
| Segments that have equal length. |
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| The point that divides the segment into two congruent segments. |
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| Line, segment, ray, or plane that intersects the segment at its midpoint. |
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| the figure formed by two rays that have the same endpoint. The rays are the sides and their common endpoint is the vertex. |
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| Angles that have equal measures. |
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| Two angles in a plane that have a common vertex and common side, but no common interior points. |
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| The ray that divides the angle into two congruent, adjacent angles. |
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| A line contains at least two points; a plane contains at least three points not all in one line; space contains at least four points not all in one plane. |
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| Through any two points there is a line. |
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| Through any three points there is at least one plane, and through any three non collinear points there is exactly one plane. |
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| If two points are in a plane, then the line that contains the points is in that plane. |
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| If two planes intersect, then their intersection is a line. |
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Definition
| If two lines intersect, then they intersect in exactally one point. |
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Definition
| Two rays with the same endpoint, pointing in the exact opposite direction. |
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Definition
| If point B lies in the interior of angle AOC then the measure of angle AOB + the measure of angle AOC = the measure of angle AOC. |
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Definition
| Through a line and a point not on the line there is exactly one plane. |
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Term
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Definition
| If two lines intersect, then exactaly one plane is formed. |
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Term
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Definition
| An "if then" statement. Ex. p=hypothesis q=conclusion If p then q. p implies q. p only if q. q if p. |
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Term
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Definition
| Reversing the hypothesis and conclusion. |
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Term
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| A statement that contains the words "if and only if". Ex. Alabama can only be part of the US if and only if the US is part of Alabama. |
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| Addition Property of Equality |
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Definition
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| Subtraction Property of Equality |
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Definition
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| Multiplication Property of Equality |
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Definition
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| Division Property of Equality |
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Definition
| If a=b and c doesn't equal 0 then a/c=b/c |
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Definition
| If a=b then either may be substituted for the other in any equation or inequality. |
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Definition
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Definition
| If M is the midpoint of segment AB then AM=1/2 AB; MB=1/2 AB |
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Term
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Definition
| If ray BX is the bisector of angle ABC then the measure of ABX=1/2 the measure of angle ABC; the measure of angle XBC=1/2 the measure of angle ABC |
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Definition
| Two angles whose measures have the sum of 180. These do not have to be adjacent. |
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Definition
| Two angles whose measures add up to a sum of 90. These do not have to be adjacent. |
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Definition
| Two angles such that the sides of one angle are opposite rays to the sides of the other angle. |
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Term
| Vertical Angles are Congruent (theorem) |
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Definition
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Definition
| If two lines are perpendicular, then they form congruent adjacent angles. |
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Definition
| If two lines form congruent adjacent angles, then the lines are perpendicular. |
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Term
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Definition
| If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary. |
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Definition
| If two angles are supplements of congruent angles, then the two angles are congruent |
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Term
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Definition
| If two angles are complements of congruent angles, then the two angles are congruent. |
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