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Chapter 5 Conjectures
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24
Mathematics
9th Grade
11/09/2011

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Term
Quadrilateral Sum Conjecture
Definition
The sum of the measures of the four interior angles of any quadrilateral is 360 degrees.
Term
Pentagon Sum Conjecture
Definition
The sum of the measures of the five interior angles of any pentagon is 540 degrees.
Term
Polygon Sum Conjecture
Definition
The sum of the measures of the interior angles of an n-gon is 180(n-2).
Term
Exterior Angle Sum Conjecture
Definition
For any polygon, the sum of the measures of a set of exterior angles is 360 degrees.
Term
Equiangular Polygon Conjecture
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.
Term
Kite Angles Conjecture
Definition
The non-vertex angles of a kite are congruent.
Term
Kite Diagonals Conjecture
Definition
The diagonals of a kite are perpendicular.
Term
Kite Diagonal Bisector Conjecture
Definition
The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
Term
Kite Angle Bisector Conjecture
Definition
The vertex angles of a kite are bisected by a diagonal.
Term
Trapezoid Consecutive Angles Conjecture
Definition
The consecutive angles between the bases are supplementary.
Term
Isosceles Trapezoid Conjecture
Definition
The base angles of an isosceles triangle are congruent.
Term
Isosceles Trapezoid Diagonals Conjecture
Definition
The diagonals of an isosceles triangle are congruent.
Term
Three Midsegments Conjecture
Definition
The three midsegments of a triangle divide it into four congruent triangles.
Term
Triangle Midsegment Conjecture
Definition
A midsegment of a triangle is parallel to the third side and half the length of the base.
Term
Trapezoid Midsegment Conjecture
Definition
A midsegment of a trapezoid is parallel to the bases and is equal in length to the average of the bases.
Term
Parallelogram Opposite Angles Conjecture
Definition
The opposite angles of a parallelogram are congruent.
Term
Parallelogram Consecutive Angles Conjecture
Definition
The consecutive angles of a parallelogram are supplementary.
Term
Parallelogram Opposite Sides Conjecture
Definition
The opposite sides of a parallelogram are congruent.
Term
Double-Edge Straightedge Conjecture
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.
Term
Rhombus Diagonals Conjecture
Definition
The diagonals of a rhombus are perpendicular, and they bisect each other.
Term
Rhombus Angles Conjecture
Definition
The diagonals of a rhombus bisect the angles of the rhombus.
Term
Rectangle Diagonals Conjecture
Definition
The diagonals of a rectangle are congruent and they bisect each other.
Term
Square Diagonals Conjecture
Definition
The diagonals of a square are congruent and perpendicular.
Term
Parallelogram Diagonals Conjecture
Definition
The diagonals of a parallelogram bisect each other.
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