5.1-Polygon Interior Angle Sum Conjectures
(n-2)180
What is the Polygon Sum Conjecture?
a regular polygon with each exterior angle (when each side is extended) being 72˚
What is a regular pentagon?
the non-vertex angles are congruent
What is the Kite Angle Conjecture?
The opposite angles of a parallelogram are congruent.
What is the Parallelogram Opposite Angle Conjecture?
[180(n-2)]/n
What is the Equiangular Polygon Conjecture?
a regular polygon with each exterior angle (when each side is extended) being 60˚
What is a hexagon?
The base angles of an isosceles trapezoid are congruent.
What is the Isosceles Trapezoid Conjecture?
What is the Parallelogram Consecutive Angle Conjecture?
The diagonals of a rhombus are perpendicular and bisect each other.
What is the Rhombus Diagonal Conjecture?
a polygon with interior angle measure of 720
What is a hexagon?
for any polygon, the sum of the measures of a set of exterior angles is 360˚
What is the Exterior Angle Sum Conjecture?
The vertex angles of a kite are bisected by a diagonal
What is the Kite Angle Bisector Conjecture?
The opposite sides of a parallelogram are congruent.
What is the Parallelogram Opposite Angle Conjecture?
The diagonals of a rhombus bisect the angles of a rhombus.
What is the Rhombus Angles Conjecture?
for any polygon, the sum of the measures of a set of exterior angles is 360˚
What is the exterior angle sum conjecture?
a regular polygon with each exterior angle (when each side is extended) being 30˚
What is a dodecagon?
The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal
What is the Kite Diagonal Bisector Conjcture?
The diagonals of a parallelogram are angle bisectors and bisect each other.
What is the Parallelogram Diagonal Conjecture?
The diagonals of a rectangle are congruent and bisect each other.
What is the Rectangle Diagonals Conjecture?
a polygon with interior angle sum 540
What is a pentagon?
a regular polygon with each exterior angle (when each side is extended) being 2˚
What is a hectaoctacontagon (180-gon)?
The consecutive angles between the bases of a trapezoid are supplementary.
What is the trapezoid consecutive angles conjecture?
A quadrilateral with two pairs of parallel sides, congruent opposite angles, congruent opposite sides, consecutive angles that are supplementary, and diagonals that bisect angles as well as each other.
What is a parallelogram?
The diagonals of a square are congruent, perpendicular bisectors, and are angle bisectors. They also bisect each other.
What is the Square Diagonals Conjecture?