Term
| Quadrilateral Sum Conjecture |
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Definition
| The sum of the measures of the four interior angles of any quadrilateral is 360 degrees. |
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Term
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Definition
| The sum of the measures of the five interior angles of any pentagon is 540 degrees. |
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Term
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Definition
| The sum of the measures of the interior angles of an n-gon is 180(n-2). |
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Term
| Exterior Angle Sum Conjecture |
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Definition
| For any polygon, the sum of the measures of a set of exterior angles is 360 degrees. |
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Term
| Equiangular Polygon Conjecture |
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Definition
| You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas: 180(n-2)/2 or 180-360/n. |
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Term
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Definition
| The non-vertex angles of a kite are congruent. |
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Term
| Kite Diagonals Conjecture |
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Definition
| The diagonals of a kite are perpendicular. |
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Term
| Kite Diagonal Bisector Conjecture |
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Definition
| The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal. |
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Term
| Kite Angle Bisector Conjecture |
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Definition
| The vertex angles of a kite are bisected by a diagonal. |
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Term
| Trapezoid Consecutive Angles Conjecture |
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Definition
| The consecutive angles between the bases are supplementary. |
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Term
| Isosceles Trapezoid Conjecture |
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Definition
| The base angles of an isosceles triangle are congruent. |
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Term
| Isosceles Trapezoid Diagonals Conjecture |
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Definition
| The diagonals of an isosceles triangle are congruent. |
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Term
| Three Midsegments Conjecture |
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Definition
| The three midsegments of a triangle divide it into four congruent triangles. |
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Term
| Triangle Midsegment Conjecture |
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Definition
| A midsegment of a triangle is parallel to the third side and half the length of the base. |
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Term
| Trapezoid Midsegment Conjecture |
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Definition
| A midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the bases. |
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Term
| Parallelogram Opposite Angles Conjecture |
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Definition
| The opposite angles of a parallelogram are congruent. |
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Term
| Parallelogram Consecutive Angles Conjecture |
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Definition
| The consecutive angles of a parallelogram are supplementary. |
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Term
| Parallelogram Opposite Sides Conjecture |
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Definition
| The opposite sides of a parallelogram are congruent. |
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Term
| Double-Edge Straightedge Conjecture |
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Definition
| If two parallel lines are interesected by a second pair of parallel lines that are the same distance apart as the first pair, then the parallelogram formed is a rhombus. |
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Term
| Rhombus Diagonals Conjecture |
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Definition
| The diagonals of a rhombus are perpendicular, and they bisect each other. |
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Term
| Rhombus Angles Conjecture |
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Definition
| The diagonals of a rhombus bisect the angles of the rhombus. |
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Term
| Rectangle Diagonals Conjecture |
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Definition
| The diagonals of a rectangle are congruent and they bisect each other. |
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Term
| Square Diagonals Conjecture |
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Definition
| The diagonals of a square are congruent and perpendicular. |
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Term
| Parallelogram Diagonals Conjecture |
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Definition
| The diagonals of a parallelogram bisect each other. |
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