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16 Cards in this Set
- Front
- Back
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transversal
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intersecting a system of lines
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alternate interior angles
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two nonadjacent interior angles on opposite sides of the transversal (e.g. angle 3 and angle 6 form a Z)
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alternate exterior angles
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two nonadjacent exterior angles on opposite sides of the transversal (e.g., angle 1 and and 8 form a double V)
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corresponding angles
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two nonadjacent angles on the same side of the transversal, one interior and one exterior (e.g., angle 4 and angle 8 form an F)
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same-side interior angles
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two interior angles on the same side of the transversal (e.g., angle 4 and angle 6 for a C)
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same-side exterior angles
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Exterior Angles are created where a transversal crosses two (usually parallel) lines. Each pair of these angles are outside the parallel lines, and on the same side of the transversal.
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Angle Congruencies in Parallel Lines Theorem
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Two lines cut by a transversal are parallel if and only if:
a. the corresponding angles are congruent b. the alternate interior angles are congruent c. the alternate exterior angles are congruent d. the same-side interior and same-side exterior angles are supplementary |
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Parallel Postulate
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If a straight line fallin on two straight lines makes the interior angles on the sameside less than two right angles, the two straing lines, if produced indefinitely, meet on that side on which are the angles less than two right angles.
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interior angles of the polygon
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the angles formed by the sides of a polygon
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Angle Sum for Triangles Theorem
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The sum of the measures of the interior angles of a triangle in 180º
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Angle Sum for Quadrilaterals Theorem
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The sum of the measures of the interior angles of a quadrilateral in 360º.
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Angle Sum for Any Polygon Theorem
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The sum of the interior angles of an n-gon is (n-2)180º.
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Exterior Angle Sum for Any Polygon Theorem
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The sum of the exterior angles of any polygon is 360º
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Interior Angle Measure for a Regular Polygon Thereom
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The measure of each interior angle of a regular n-gon is (n-2)180º divided by n.
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Exterior Angle Measure for a Regular Polygon Thereom
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The measure of each exterior angle of the regular n-gon is 360º /n.
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Central Angle Measure for a Regular Polygon Theorem
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The measure of a central angle of a regular n-gon is 360º/n.
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