Definition of a Parallelogram: a quadrilateral with two pairs of parallel sides.
Properties: Opposite sides are congruent; The diagonals bisect eachother; opposite angles are congruent.
Proper of Parallel Lines: Consecutive Interior Angles add to be 180 degrees; Alternate Interior Angles are congruent.
Definition: A parallelogram with 4 congruent sides (2 consecutive sides).
Opposite sides are congruent.
Diagonals bisect eachother.
Alternate Interior Angles are congruent.
Opposite angles are congruent.
Consecutive Interior Angles add to = 180 degrees.
Have 4 congruent sides.
Properties of a Rhombus
Diagonals are Perpendicular.
Diagonals bisect the vertical angle.
Properties of Squares and Rectangles
Rectangle: A parallelogram with 1 right angle; opposite sides are congruent; diagonals bisect eachother; opposite angles are congruent; consecutive interior angles add to = 180 degrees; alternate interior angles are congruent.
Square: A parallelogram with 2 congruent consecutive sides and 1 right angle; is considered to be a rectangle or a rhombus; opposite sides are congruent; diagonals bisect eachother; opposite angles are congruent; consecutive interior angles add to = 180 degrees; alternate interior angles are congruent; diagonals are congruent; the diagonals are perpendicular; the diagonals bisect the vertex angles.
What is a Property of a Rhombus?