| A | B |
|---|
| Definition of a parallelogram | a parallelogram is a quadrilateral where both pairs of opposite sides are parallel |
| 4 Theorems of a parallelogram (properties) | Opposite sides of a parallelogram are congruent, Opposite angles of a parallelogram are congruent, Consecutive angles to a parallelogram are supplementary, and The diagonals of a parallelogram bisect each other |
| Rectangles definition | A rectangle is a quadrilateral with four right angles |
| 2 theorems (proterties) of a rectangle | If a parallelogram is a rectangle, then the diagonals are congruent and If the diagonals of a quadrilateral are congruent the parallelogram is a rectangle. |
| Rhombus definition | a quadrilateral with four congruent sides. |
| Rhombus theorems (properties) There are 3 | the diagonals of a parallelogram are perpendicular, Each diagonal of a rhombus bisects a pair of opposite angles, and The diagonals are perpendicular |
| Square Definition | A parallelogram that is both a rhombus and a rectangle; it has four congruent sides and four right angles |
| Theorem (1) | All angles measure 90 degrees |
| Definition of a polygon | it's a closed figure formed by a finite number of coplanar segments. |
| Theorems of a polygon | The sides that have a common endpoint are non collinear and Each side intersects exactly two other sides but only at their endpoint. |
| Convex Polygon definition | a polygon such that no line containing a side of the polygon contains a point in the interior of the polygon. |
| Regular Polygon Definition | Definition: All sides & angles are congruent. |
| A figure with 3 side is | Triangle |
| A figure with 4 side is | Quadrilateral |
| A figure with 5 side is | Pentagon |
| A figure with 6 side is | Hexagon |
| A figure with 7 side is | Heptagon |
| A figure with 8 side is | Octagon |
| A figure with 9 side is | Nonagon |
| A figure with 10 side is | Decagon |
| A figure with 12 side is | Dedecagon |
| A figure with N side is | N-gon |
| Trapezoid Definition | a quadrilateral with exactly one pair of parallel sides |
| base | parallel sides |
| leg | non-parallel sides |
| base angles | two pairs with a base for a side and a leg for a side |
| Isosceles Trapezoid Definition | legs are congruent |
| Isosceles Trapezoid Theorems | Both pairs of base angles in an isosceles trapezoid are congruent and The diagonals are congruent |
| Median Definition | The segment that joins the midpoints of the legs |
| Median Theorems | Parallel to the bases and Its measure is one half the sum of the measure of the bases. |
