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 |