Special Polygons:Triangle : A triangle is a three-sided polygon.The midsegment of a triangle is equal to 1/2 the base and is pararellel to the base. The three midsegments of a triangle devide the triangle into four congruent triangles. Rectangle : A quadrilateral with all angles as right angles.The diagonals of rectangle are congruent. : A rectangle with all congruent sides.Square : A quadrilateral with exactly two pairs of distinct congruent consecutive sides.Kite The diagonals of a kite are perpendicular. The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal. The nonvertex angles of a kite are congruent. A diagonal bisects the vertex angles of a kite. Trapezoid : A quadrilateral with exactly one pair of parallel sides.Consecutive angeles between the bases of a trapezoid are supplementary. An isosceles trapezoid is a trapezoid whose two non-parallel sides is the same length. The base angles of an isoceles triangle are congruent. The diagonals of an isosceles trapezoid are congruent. The midsegment of a trapezoid is equal in length to the average of the two bases and is parallel to the base. Parallelogram : A quadrilateral whose opposite sides are parallel.The opposite sides of a parallelogram are congruent. Consecutive angles in a parallelogram are supplementary. Opposite angles in a parallelogram are congruent. The diagonals of a parallelogram bisect each other. Rhombus : A parallelogram with all four sides congruent.The diagonals of a rhombus are perpendicular bisectors of each other. The diagonals of a rhombus bisect the angles of the rhombus. Here is a Venn Diagram to help catagorize the different Quadrilateral: * An apothem is the perpendicular distance from the center of a polygon's circumscribed circle to one of it's sides. |