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12 Cards in this Set
- Front
- Back
what are the PROPERTIES of a parallelogram
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opposite sides parallel
opposite sides congruent opposite angles congruent a diagonal forms 2 congruent triangles diagonals bisect eachother |
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what are the properties of a rectangle
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opposite sides parallel
opposite sides congruent opposite angles congruent a diagonal forms 2 congruent triangles diagonals bisect each other diagonals are congruent all angles are right angles |
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what are the properties of a rhombus
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opposite sides parallel
opposite sides congruent opposite angles congruent a diagonal forms 2 congruent triangles diagonals bisect each other diagonals are perpendicular a diagonal bisects 2 angles all sides are congruent |
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what are the properties of a square
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opposite sides parallel
opposite sides congruent opposite angles congruent a diagonal forms 2 congruent triangles diagonals bisect each other diagonals are congruent diagonals are perpendicular a diagonal bisects 2 angles all angles are right angles all sides are congruent |
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how do you prove a parallelogram
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1) both pairs of opposite sides are parallel
2) both pairs of opposite sides are congruent 3) same pair of opposite sides are congruent and parallel 4) both pairs of opposite angles are congruent 5) if both diagonals bisect each other |
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how do you prove a rectangle
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1) a quadrilateral with 4 right angles
2) a parallelogram with 1 right angle 3) a parallelogram with congruent diagonals |
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how do you prove a rhombus?
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1) parallelogram with 2 consecutive sides congruent
2) quadrilateral with 4 consecutive sides congruent 3) parallelogram with one diagonal that bisects opposite angles 4) parallelogram with perpendicular diagonals |
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how to prove a square
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prove it is a rectangle
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how to prove a kite
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2 pairs of disjoint sides are congruent
quadrilateral with one diagonal that is the perpendicular bisector of the second diagonal |
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how to prove an isosceles trapezoid
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a trapezoid with 2 congruent legs
a trapezoid with congruent upper base angles a trapezoid with congruent lower base angles a trapezoid with congruent diagonals |
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how to prove a trapezoid
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one and only ONE pair of opposite sides are parallel
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the median of a trapezoid is...
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parallel to both bases
and equal to the average of the SUM of the two bases |