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Chapter 6 Vocabulary

Words and Theorems that you will need to know

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