Download Lap 5 Definitions and Conjectures Polygon Sum Conjecture C

Lap 5 Definitions and Conjectures
Polygon Sum Conjecture C-32: The sum of the measures of the n interior angles of an n-gon is 180(n-2).
Exterior Angle Sum Conjecture C-33: For any polygon, the sum of measures of a set of exterior angles is 360.
Equiangular Polygon Conjecture C-34: The measure of each interior angle of an equiangular n-gon by using either
of these formulas: 180(n-2)/n
Kite: Quadrilateral with exactly two distinct pairs of congruent consecutive sides.
Vertex Angles: Angles between each pair of congruent sides of a kite.
Nonvertex angles: The other pair of angles in a kite different from the vertex angles.
Kite Diagonals Conjecture C-36: The diagonals of a kite are perpendicular.
Kite Diagonal Bisector Conjecture C-37: The diagonal connecting the vertex angles of a kite is the perpendicular
bisector of the other diagonal.
Kite Angle Bisector Conjecture C-38: The vertex angles of a kite are bisected by a diagonal.
Trapezoid: Quadrilateral with exactly one pair of parallel sides.
Trapezoid Bases: The two parallel sides in a trapezoid are called bases.
Base Angles of Trapezoid: A pair of angles that share a base as a common side are called base angles.
Trapezoid Consecutive Angles Conjecture C-39: The consecutive angles between the bases of a trapezoid are
supplementary.
Isosceles trapezoid: A trapezoid whose two nonparallel sides are the same length is called an isosceles
trapezoid.
Isosceles Trapezoid Conjecture C-40: The base angles of an isosceles trapezoid are congruent.
Isosceles Trapezoid Diagonals Conjecture C-41: The diagonals of an isosceles trapezoid are congruent.
Three Midsegments Conjecture C-42: The three midsegments of a triangle divide it into four congruent triangles.
Triangle Midsegment Conjecture C-43: A midsegment of a triangle is parallel to the third side and half the length
of the third side.
Trapezoid Midsegment Conjecture C-44: The midsegment of a trapezoid is parallel to the bases and is equal in
length to the average of the lengths of the bases.
Parallelogram Opposite Angles Conjecture C-45: The opposite angles of a parallelogram are congruent.
Parallelogram Consecutive Angles Conjecture C-46: The consecutive angles of a parallelogram are supplementrary.
Parallelogram Opposite Sides Conjecture C-47: The opposite sides of a parallelogram are congruent.
Parallelogram Diagonals Conjecture C-48: The diagonals of a parallelogram bisect each other.
Double-Edged Straightedge Conjecture C-49: If two parallel lines are intersected by a second pair of parallel lines
that are the same distance apart as the first pair, then the parallelogram formed is a rhombus.
Rhombus Diagonals Conjecture C-50: The diagonals of a rhombus are perpendicular and they bisect each other.
Rhombus Angles Conjecture C-51: The diagonals of a rhombus bisect the angles of the rhombus.
Rectangle Diagonals Conjecture C-52: The diagonals of a rectangle are congruent and bisect each other.
Square Diagonals Conjecture C-53: The diagonals of a square are congruent, perpendicular, and bisect each
other.