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| segment that connects any two nonconsecutive vertices |
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Definition
The sum of the interior angle measures of an n-sided convex polygon is
(n-2)*180. |
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| The sum of the exterior angle measuures of a convex polygon, one angle at each vertex, is 360. |
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| quadrilateral with both pairs of opposite sides parallel |
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| If a quadrilateral is a parallelogram, then its opposite sides are congruent. |
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Definition
| If a quadrilateral is a parallelogram, then its opposite angles are congruent. |
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| If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. |
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| If a parallelogram has one right angle, then it has four right angles. |
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Definition
| If a quadrilateral is a parallelogram, then its diagonals bisect eachother. |
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Term
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Definition
| If a quadrilateral is a parallelogram, then each diagonal separates the parallelogram into two congruent triangles. |
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Term
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Definition
| If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
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Term
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Definition
| If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram. |
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Term
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Definition
| If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram. |
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Term
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Definition
| If on pair of opposite sides of a quadrilateral is both parallel and congruent, then the quadrilateral is a parallelogram. |
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Definition
| prallelogram with 4 right angles |
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Definition
| If a parallelogram is a rectangle, then its diagonals are congruent. |
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Definition
| If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle. |
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| parallelogram with all four sides congruent |
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Term
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Definition
| If a parallelogram is a rhombus, then its diagonals are perpendicular. |
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Term
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Definition
| If a parallelogram is a rhombus, then each diagonal bisects a pair of opposite angles. |
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Term
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Definition
| parallelogram with four congruent sides and four right angles (rhombus & rectangle) |
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Term
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Definition
| If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus. |
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Term
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Definition
| If one diagonal of a parallelogram bisects a pair of opposite angles, then the parallelogram is a rhombus. |
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Term
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Definition
| If one pair of consecutive sides of a parallelogram are congruent, the parallelogram is a rhombus. |
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Definition
| quadrilateral with exactly one pair of parallel sides |
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Definition
| parallel sides of a trapezoid |
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Definition
| nonparallel sides of a trapezoid |
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Definition
| angles formed by the base and one of the legs in a trapezoid |
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Definition
| a trapezoid with congruent legs and base angles |
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Definition
| If a trapezoid is isosceles, then each pair of base angles is congruent. |
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Definition
| If a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid |
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Definition
| A trapezoid is isosceles if and only if its diagonals are congruent. |
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Term
| midsegment of a trapezoid |
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Definition
| segment connecting the midpoints of the legs of a trapezoid |
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Term
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Definition
| The midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases. |
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Definition
| If a quadrilateral is a kite, then its diagonals are perpendicular. |
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Term
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Definition
| If a quadrilateral is a kite, then exactly one pair of opposite angles is congruent. |
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