I Figured it Out

Hello, I’m David Mahoney.

Today in class we learned about what characteristics polygons have. All types of polygons need certain characteristics, but some have other features.

For instance…

Parallelogram – Definition:             Quadrilateral

2 pairs of parallel sides

HAS:             (what a parallelogram has but is not in the definition)

2 pair of congruent angles, all angles add up to 360*, diagonals bisect each other, congruent opp. sides, and supp. cons. angles

Rectangle – Definition:            Parallelogram (all the properties of a parallelogram apply to a rectangle), <1 rt. Angle

Has:            all rt. angles, 2 pairs of congruent sides, diagonals are congruent, congruent con. angles

Rhombus – Definition:            parallelogram, <2 cons. sides congruent

                                    Has:            all sides congruent, diagonals perp.

Square – Definition:                     parallelogram, rectangle, rhombus

                                    Has:            nothing special

Trapezoid – Definition:            Quadrilateral, exactly 1 pair of parallel sides

                                    Has:            corr. leg angles are supp.

Isosceles– Definition:                     trapezoid, non-parallel legs are congruent

Trapezoid

                                    Has:            congruent diagonals, congruent base angles

Kite – Definitions:            Quadrilateral, 2 disjoint pairs of consecutive sides are congruent

Has:            one diagonal perp. bis. the other, one diagonal is an angle bisector