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25 Cards in this Set
- Front
- Back
rectangle
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a quadrilateral with four right angles
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theorem 6-4-1
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if a quad. is a rectangle, then it is a parallelogram
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theorem 6-4-2
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if a parallelogram is a rectangle, then its diagonals are congruent
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theorem 6-4-3
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if a quad is a rhombus, then it is a parallelogram
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theorem 6-4-4
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if a parallelogram is a rhombus then its diagonals are perpendicular
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theorem 6-4-5
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if a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles
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rhombus
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a quadrilateral with four congruent sides
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square
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quadrilateral with four right angles and four congruent sides
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theorem 6-5-1
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if one angle of a parallelogram is a right angle, then the parallelogram is a rectangle
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theorem 6-5-2
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if the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle
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theorem 6-5-3
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if one pair of consecutive sides of a parallelogram are congruent, then the parallelogram is a rhombus
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theorem 6-5-4
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if the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus
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theorem 6-5-5
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if one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus
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kite
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quad. with exactly two pairs of congruent consecutive sides
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theorem 6-6-1
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if a quad. is a kite then its diagonal are perpendicular
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theorem 6-6-2
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if a quad. is a kite, then exactly one pair of opposite angles are congruent
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trapezoid
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quad. with exactly one pair of parallel sides
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base
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each of the parallel sides
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legs
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the nonparallel sides
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base angles
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two consecutive angles whose common side is a base
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isosceles trapezoid
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the legs of a trap are congruent
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theorem 6-6-3
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if a quad.is an isosceles trapezoid then each pair of base angles are congruent
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theorem 6-6-4
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if a trapezoid has one pair of congruent base angles, then the trapezoid is isosceles
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theorem 6-6-5
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a trapezoid is isosceles if and only if its diagonals are congruent
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midsegment of a trapezoid
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segment whose endpoints are the midpoints of the legs
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