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23 Cards in this Set
- Front
- Back
Theorem 1.1
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if 2 lines intersect then they intersect in exactly 1 point
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Theorem 1.2
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through a line and a point not on the line there is exactly 1 plane
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Theorem 1.3
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if 2 lines intersect then exactly 1 plane contains the lines
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Theorem 2.1
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Midpoint Theorem: If M is the midpoint of segment AB then AM = ½ AB and MB = ½ AB
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Theorem 2.2
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Angle Bisector Theorem: If ray BX is the bisector of <ABC then m<ABX= ½ m<ABC and m<XBC = ½ m<ABC
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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 2 lines are perpendicular then they form congruent adjacent angles
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Theorem 2.5
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If 2 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 2 adjacent acute angles are perpendicular then the angles are complementary
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Theorem 2.7
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If 2 angles are supplements of congruent angles or the same angle then the 2 angles are congruent
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Theorem 2.8
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If 2 angles are complements of congruent angles or the same angle then the 2 angles are congruent
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Theorem 3.1
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If 2 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 2 parallel lines are cut by a transversal then alternate interior angles are congruent
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Theorem 3.3
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If 2 parallel lines are cut by a transversal then the 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 perpendicular to the other one also
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Theorem 3.5
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If 2 lines are cut by a transversal and alternate interior angles are congruent then lines are parallel
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Theorem 3.6
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If 2 lines are cut by a transversal and same side interior angles are supplementary then the lines are parallel
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Theorem 3.7
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In a plane two lines perpendicular to the same line are parallel
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Theorem 3.8
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Through a point outside a line there is exactly 1 line parallel to the given line
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Theorem 3.9
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Through a point outside a line there is exactly 1 line perpendicular to the given line
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Theorem 3.10
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2 lines parallel to a third line are parallel to each other
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Theorem 3.11
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The sum of the angles of a triangle is 180
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Theorem 3.12
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The measure of an exterior angle of a triangle equals the sum of the measures of the 2 remote interior angles
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