Properties of Special Quadrilaterals
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11 terms
Terms | Definitions |
|---|---|
If one pair of sides of a quadrilateral are both parallel and congruent... | ...then the quadrilateral is a parallelogram. |
If the diagonals of a parallelogram are congruent... | ...then the parallelogram is a rectangle. |
If one angle of a parallelogram measures 90 degrees... | ...then the parallelogram is a rectangle. |
If two adjacent sides of a parallelogram are congruent... | ...then the parallelogram is a rhombus. |
If the diagonals of a parallelogram are perpendicular... | ...then the parallelogram is a rhombus. |
parallelogram | A quadrilateral with two pairs of parallel, congruent sides. |
rhombus | A quadrilateral with four congruent sides. |
rectangle | A quadrilateral with four right angles. |
square | A quadrilateral with four congruent sides and four right angles. |
indirect proof | A proof by contradiction. A proof in which the statement you want to prove is assumed to be false. |
How does one proceed in an indirect proof? | a) Propose a new conditional by negating the original conclusion. b) Show the absurdity of the new conditional. |
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