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1-1-1
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Through any two points there is exactly one line.
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1-1-2
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Through any three non collinear points there is exactly one plane containing them.
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1-1-3
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If two points lie in a plane, then the line containing those points lies in the plane.
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1-1-4
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If two lines Intersect, then they intersect in exactly one point.
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1-1-5
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If two planes intersect, then they intersect in exactly one line.
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Ruler Postulate
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The points on a line can be put into a one-to-one correspondence with the real numbers.
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Segment Addition Postulate
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If B is between A and C, then AB+BC= AC
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Protractor Postulate
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Given line AB and a point O on line AB, all rays that can be drawn from O can be put into a one-to-one correspondence with the real numbers from 0 to 180.
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Angle Addition Postulate
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If S is in the interior of angle PQR, then measure of angle PQS+ measure of angle SQR= measure of angle PQR.
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Pythagorean Theorem
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In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
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Linear Pair Theorem
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If two angles form a linear pair, then they are supplementary.
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Congruent Supplements Theorem
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If two angles are supplementary to the same angle (or two congruent angles), then the two angles are congruent.
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Right Angle Congruence Theorem
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All right angles are congruent.
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Congruent Complements Theorem
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If two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent.
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Common Segments Theorem
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Given collinear point A, B, C, D arranged as shown, if segment AB is congruent to segment CD, then segment AC is congruent to segment BD.
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