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Quadrilaterals

postulates and theorems relating to quadrilaterals (chp. 8)

hypothesisconclusion
If a convex polygon has n sides and S is the sum of the measures of its interior angles then S=180(n-2)
If a polygon is convex then the sum of the measures of th exterior angles, one at each vertex, is 360
Opposite sides of a parallelogram are congruent
Opposite angles of a parallelogram are congruent
Consecutive angles in a parallelogram are supplementary
If a parallelogram has one right angle it has four right angles
The diagonals of a parallelogram bisect each other
The diagonal of a parallelogram seperates the parallelogram into two congruent triangles
If both pairs of opposite sides of a quadrilateral are congruent then the quaderlateral is a parallelogram
If both pairs oppposite angles of a quadrilateral are congruent then the quadrilateral is a parallelogram
If the diagonals of a quadrilateral bisect each other then the quadrilateral is a parallelogram
If one pair of opposite sides of a quadrilateral is both parallel and congruent then the quadrilateral is a parallelogram
If a parallelogram is a rectangle then the diagonals are congruent
If the diagonals of a parallelogram are congruent then the parallelogram is a rectangle
The diagonals of a rhombus are perpendicular
If the diagonals of a parallelogram are perpendicular then the parallelogram is a rhombus
Each diagonal of a rhombus bisects a pair of opposite angles
Both pairs of base angles of an isosceles trapeziod are congruent
The diagonals of an isosceles trapeziod are congruent
The median of a trapezoid is parallel to the bases, and its measure is one-half the sum of the measures of the bases
Created by: m.meyer
 

 



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