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Properties of segment congruence theorem |
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Definition
segment congruence is reflexive, symmetric, and transitive |
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if M is the midpoint of AB, then AM=1/2 of AB & MB=1/2 of AB. (a midpoint splits the segment into two equal parts) |
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< congruence is reflexive, symm, and transitive |
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right angle congruence theorem |
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all right angles are congruent |
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congruent supplements theorem |
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if 2 angles are supplementary to the same angle (or to congruent angles) then they are congruent |
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congruent complements theorem |
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if two angles are complementary to the same angle then they are congruent |
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an angle bisector splits the angle is two equal parts/angles |
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alt interior angle theorem |
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if two parallel lines are cut by transversal, then alternate interior angles are congruent |
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if a transversal is perpendicular to one or two parallel lines, its also perpendicular to the other |
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if two lines are cut by a transversel, and alternate interior angles are congruent, then lines are parallel |
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same side interior angle converse |
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if 2 lines are cut by a transversel, and same side interior angles are supplementary, then lines are parallel |
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alternate exterior angle converse |
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if two lines are cut by a transversal, and alternate exterior angles are congruent, then lines are parallel |
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a squared + b squared = c squared |
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the points on a line can be matched one to one with the real #s. |
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segment addition postulate |
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if B is between A and C, then AB + BC = AC. if AB + BC = AC then B is between A and C |
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if P is in the interior of |
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through any two points there is one line |
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if any two lines interesect, their intersection is exactly one point |
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a line contains at least two points |
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through any three colinear points there exists exactly one plane |
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a plane contains at least three non collinear points |
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if two points lie in a plane then the line containing them lies on the plane |
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if two planes intersect, then their intersection is a line |
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