# Shared Flashcard Set

## Details

Chapter 5 Conjectures
See Title
24
Mathematics
11/09/2011

Term
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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