Ch. 6 theorems
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18 terms
Terms | Definitions |
|---|---|
 Theorem 6-1 | opposite sides of a parallelogram are congruent |
| Theorem 6-2 | opposite angles of a parallelogram are congruent |
| Theorem 6-3 | the diagonals of a parallelogram bisect each other |
| Theorem 6-4 | if three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal |
| Theorem 6-5 | if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram |
| Theorem 6-6 | if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram |
| Theorem 6-7 | If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram |
| Theorem 6-8 | if one pair of opposite sides of a quadrilateral is both congruent and parallel then the quadrilateral is a parallelogram |
| Theorem 6-9 | Each diagonal of a rhombus bisects two angles of the rhombus. |
| Theorem 6-10 | The diagonals of a rhombus are perpendicular |
| Theorem 6-11 | the diagonals of a rectangle are congruent |
| Theorem 6-12 | If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus. |
| Theorem 6-13 | If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. |
| Theorem 6-14 | If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. |
| Theorem 6-15 | The base angles of an isosceles trapezoid are congruent.b |
| Theorem 6-16 | The diagonals of an isosceles trapezoid are congruent. |
| Theorem 6-17 | The diagonals of a kite are perpendicular. |
| Theorem 6-18 | 1) the midsegment of a trapezoid is parallel to the bases 2) the length of the midsegment of a trapezoid is half the sum of the lengths of the bases |
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