Front | Back |
Theorem 1-1
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If two lines intersect, then they intersect in exactly one point
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Theorem 1-2
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Through a line and a point not in the line there is exactly one plane.
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Theorem 1-3
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If two lines intersect, then exactly one plane contains the lines.
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Theorem 2-1 (Midpoint Theorem)
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If M is the midpoint of segment AB then AM=1/2 AB and MB=1/2 AB.
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Theorem 2-2 (Angle Bisector Theorem)
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If ray BX is the bisector of
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Theorem 2-3
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Vertical Angles are congruent.
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Theorem 2-4
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If two lines are perpendicular, then they form congruent adjacent angles.
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Theorem 2-5
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If two lines form congruent adjacent angles, then the lines are perpendicular.
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Theorem 2-6
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If the exterior sides of two adjacent acute angles are perpendicular, then the angles are complementary.
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Theorem 2-7
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If two angles are supplements of congruent angles (or of the same angle), then the two angles are congruent.
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Theorem 2-8
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If two angles are complements of congruent angles (or of the same angle), then the two angles are congruent.
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Theorem 3-1
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If two parallel planes are cut by a third plane, then the lines of intersection are parallel.
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Theorem 3-2
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If two parallel lines are cut by a transversal, then the alternate interior angles are congruent
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Theorem 3-3
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If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
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Theorem 3-4
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If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.
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