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Chapter 6 Vocabulary
Words and Theorems that you will need to know
| Question | Answer |
|---|---|
| parallelogram | a quadrilateral with both pairs of opposite sides parallel |
| rhombus | a parallelogram with four congruent sides |
| quadrilateral | a polygon with 4 sides |
| rectangle | a parallelogram with four right angles |
| square | a parallelogram with four right angles and four congruent sides |
| kite | a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent |
| trapezoid | a quadrilateral with exactly one pair of parallel sides |
| isosceles trapezoid | a trapezoid whose nonparallel opposide sides are congruent |
| Opposite Side of Parallelogram Theorem | opposite sides of a parallelogram are congruent |
| consecutive angles | consecutive angles sum to 180 degrees |
| Opposite Angles of Parallelogram Theorem | Opposite angles of a parallelogram are congruent |
| Diagonals of a Parallelogram | Diagonals of a parallelogram bisect each other |
| Converse of Diagonals of a Parallelogram | If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram |
| Theorem 6-6 | If one pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram |
| Converse of opposite sides of a parallelogram theorem | If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram |
| Converse of Opposite Angles Theorem | If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram |
| Diagonals of a Rhombus Theorem | Each diagonal of a rhombus bisects two angles of the rhombus |
| Rhombus Diagonals and Perpendicular Theorem | The diagonals of a rhombus are perpendicular |
| Diagonals of a Rectangle Theorem | The diagonals of a rectangle are congruent |
| Converse of a Diagonals of a Rhombus Theorem | If one diagonal of a parallelogram bisects two angles of the parallelogram, then the parallelogram is a rhombus |
| Converse of Rhombus Diagonals and Perpendicular Theorem | If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus |
| Converse of Diagonals of a Rectangle Theorem | If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle |
Created by:
sscherer
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