math ch 8 vocab... postulates... theorems
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| polygon interior Angles Theorem | the sum of the measures of the interior angles of a convex n-gon is (n-2)*180 degrees
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| corollary | the sum of the measures of the interior angles of a quadrilateral is 180 degrees.
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| polygon Exterior Angles Theorem | the sum of the measures of the exterior angles if a convex polygon, one angle at each vertex, is 360 degrees
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| polygon Exterior Angles Theorem 2 | if a quadrilateral is a parallelogram, then its opposite sides are congruent.
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| polygon Exterior Angles Theorem 3 | if a quadrilateral is a parallelogram, then its opposite angles are congruent
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| polygon Exterior Angles Theorem 4 | if a quadrilateral is a parallelogram, then its diagonals bisect each other
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| polygon Exterior Angles Theorem 5 | if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram,.
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| polygon Exterior Angles Theorem 6 | if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
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| polygon Exterior Angles Theorem 7 | if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram
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| polygon Exterior Angles Theorem 8 | of the diagonals of a quadrilateral bisect each of other then the quadrilateral is a parallelogram.
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| polygon Exterior Angles Theorem 9 | if one pair of opposite sides are congruent and parallel then the quadrilateral is a parallelogram.
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| Rhombus corollary | a quadrilateral is a rhombus if and only if if has four congruent sides.
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| Rectangle corollary | a quadrilateral is a rectangle if and only if if has four right angles.
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| square corollary | a quadrilateral is a square is and only if its a rhombus and a rectangle.
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| shapes corollary | a parallelogram is a rhombus if and only if its diagonals are perpendicular.
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| shapes corollary 2 | a parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.
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| shapes corollary 4 | a parallelogram is a rectangles if and only if its diagonals are congruent.
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| shapes corollary 5 | if a trapezoid is isosceles, then both pairs of base angles are congruent.
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| shapes corollary 6 | if a trapezoid has a pair of congruent base angles, them it is an isosceles trapezoid.
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| shapes corollary 7 | a trapezoid is isosceles if and only is its diagonals are congruent.
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| Midsegment Theorem for trapezoids | the mud segment of a trapezoid is parallel to each bas and its length if one half the sum of the lengths of the bases.
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| Midsegment Theorem for trapezoids 2 | if a quadrilateral is a kite, then exactly on pair of opposite angles are congruent.
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| Midsegment Theorem for trapezoids 3 | if a quadrilateral is a kite then its diagonals are perpendicular.
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