click below
click below
Normal Size Small Size show me how
math ch. 8 theorems
math ch 8 vocab... postulates... theorems
Question | Answer |
---|---|
polygon interior Angles Theorem | the sum of the measures of the interior angles of a convex n-gon is (n-2)*180 degrees |
corollary | the sum of the measures of the interior angles of a quadrilateral is 180 degrees. |
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 |
polygon Exterior Angles Theorem 2 | if a quadrilateral is a parallelogram, then its opposite sides are congruent. |
polygon Exterior Angles Theorem 3 | if a quadrilateral is a parallelogram, then its opposite angles are congruent |
polygon Exterior Angles Theorem 4 | if a quadrilateral is a parallelogram, then its diagonals bisect each other |
polygon Exterior Angles Theorem 5 | if both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram,. |
polygon Exterior Angles Theorem 6 | if both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
polygon Exterior Angles Theorem 7 | if one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram |
polygon Exterior Angles Theorem 8 | of the diagonals of a quadrilateral bisect each of other then the quadrilateral is a parallelogram. |
polygon Exterior Angles Theorem 9 | if one pair of opposite sides are congruent and parallel then the quadrilateral is a parallelogram. |
Rhombus corollary | a quadrilateral is a rhombus if and only if if has four congruent sides. |
Rectangle corollary | a quadrilateral is a rectangle if and only if if has four right angles. |
square corollary | a quadrilateral is a square is and only if its a rhombus and a rectangle. |
shapes corollary | a parallelogram is a rhombus if and only if its diagonals are perpendicular. |
shapes corollary 2 | a parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles. |
shapes corollary 4 | a parallelogram is a rectangles if and only if its diagonals are congruent. |
shapes corollary 5 | if a trapezoid is isosceles, then both pairs of base angles are congruent. |
shapes corollary 6 | if a trapezoid has a pair of congruent base angles, them it is an isosceles trapezoid. |
shapes corollary 7 | a trapezoid is isosceles if and only is its diagonals are congruent. |
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. |
Midsegment Theorem for trapezoids 2 | if a quadrilateral is a kite, then exactly on pair of opposite angles are congruent. |
Midsegment Theorem for trapezoids 3 | if a quadrilateral is a kite then its diagonals are perpendicular. |