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Cards In This Set
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Inverse cosine
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If cos A = z, then cos-1 z = m<A
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Law of sines
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If triangle abc has sides of length a, b,c then sin A/a = sin b/b = sin c/c
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Diagonal:
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A segment that joins two nonconsecutive vertices.
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Polygon interior angles theorem
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The sum of the measurees of the interior angles of a convex n-gon is (n-2)180
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Corollart to polygon interior angles theorem (interior angkes if a quadrilateral)
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The sum of the measures of the interior angles of a quadrilateral is 360.
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Polygon exterior angles theorem
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The sum of the measures of the exterior angles of a convec polygon, one angle at each vertex, is 360.
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Parallelogram
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A quadrilateral with both pairs of opposite sides paralles.
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Parallelogram sides
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If a quadrilateral is a parallelogram, then its opposite sides are congruent.
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Parallelogram angles
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If a quadrilateral s a parallelogram, then its opposite angles are congruent.
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Parallelogram consecutive angles
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If a quadrilateral is a parallelogram, then its consecutive angles are suppllementary
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Parallelogram diagonals
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If a quadrilateral is a parallelogram, then its diagonals bisect eachother.
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Parallelogram proof
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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram,
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Parallelogram proof reason
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If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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Parallelogram proof 2
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If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram,
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Parallelogram proof 3.
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If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parllelogram.
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