Term
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Definition
| A quadrilateral with both pairs of opposite sides parallel |
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Term
| Properties of Parallelograms Theorem |
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Definition
If a quadrilateral is a parallelogram:
1. Both pairs of opposite sides are congruent
2.Both pairs of opposite angles are congruent
3.Consecutive angles are supplementary
4.Its diagonals bisect each other |
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Term
| Sufficient conditions for a parallelogram Theorem |
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Definition
In order to prove that a quadrilateral is a parallelogram, ONE of the following conditions must be true:
1. Both pairs of opposite sides are congruent
2. Both pairs of opposite angles are congruent
3. One angle is supplementary to both of its consecutive angles
4. The diagonals bisect each other
5. One pair of sides is both parallel and congruent to each other |
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Term
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Definition
| A parallelogram with four congruent sides |
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Term
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Definition
| A parallelogram with four right angles |
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Term
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Definition
| A parallelogram with four right angles and four congruent sides |
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Term
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Definition
A parallelogram is a rhombus is ONE of the following conditions are true:
1. Its diagonals are perpendicular
2. Its diagonals bisect its angles |
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Term
| Rectangle diagonal Theorem |
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Definition
| A parallelogram is a rectangle if and only if its diagonals are congruent |
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Term
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Definition
| A quadrilateral with EXACTLY ONE pair of parallel sides. The parallel sides are called the bases and the non-parallel sides are called the legs. The consecutive angles are BETWEEN the bases. |
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Term
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Definition
| A trapezoid whose legs are congruent |
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Term
| Isosceles Trapezoid Base Angles Theorem (Theorem 6.14) |
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Definition
| If a trapezoid is isosceles, then each pair of base angles is congruent |
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Term
| Isosceles Trapezoid Base Angles Converse Theorem (Theorem 6.15) |
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Definition
| If a trapezoid has each pair of base angles congruent, then it is an isosceles trapezoid |
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Term
| Isosceles Trapezoid Diagonal Theorem (Theorem 6.16) |
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Definition
| A trapezoid is isosceles if and only if its diagonals are congruent |
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Term
| Mid-segment Theorem for trapezoids (Theorem 6.17) |
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Definition
| The mid segment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases |
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Term
| Kite Diagonal Theorem (Theorem 6.18) |
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Definition
| If a quadrilateral is a kite, then its diagonals are perpendicular |
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Term
| Kite Angle Theorem (Theorem 6.19) |
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Definition
| If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent |
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