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20 Cards in this Set
- Front
- Back
Parallel Lines
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Coplanar lines that do not intersect
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Skew lines
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Noncoplanar lines that are neither paralled nor intersecting
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Parallel planes
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Planes that do not intersect
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Parallel Planes Theorem
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If two parallel planes are cut by a third plan, then the lines of intersection are parallel
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CA Postulate (Theorem)
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If two parallel lines are cut by a transversal, then corresponding angles are congruent.
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AIA Theorem
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If two parallel lines are cut by a transversal, then alternate interior angles are congruent.
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SSI Theorem
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If two parallel lines are cut by a transversal, then same-side interior angles are supplementary.
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Perpendicular Transversal Theorem
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If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other one also.
(b∥a; if c T a then c T b) |
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Parallel Postulate
(Converse of CA Postulate) |
If two lines are cut by a transversal and correspond angles are congruent, then the lines are parallel.
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Converse of AIA Theorem
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If two lines are cut by a transversal and alternate interior angles are congruent, then the lines are parallel.
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Converse of SSI Theorem
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If two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel.
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Converse of Perpendicular Transversal Theorem
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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 one 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 one line perpendicular to the given line.
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Parallel Theorem
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Two lines parallel to a third line are parallel to each other.
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Scalene triangle
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None of the sides are congruent
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Isosceles triangle
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At least two of the sides are congruent
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Equilateral triangle
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All of the sides are congruent
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Acute triangle
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A triangle with three acute angles
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AEA Theorem
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If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.
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