5.1
the conjecture that says all angles in a quadrilateral add up to 360 degrees
What is the quadrilateral sum conjecture?
for any polygon, the sum of the measure of a set of exterior angles is 360 degrees
what is exterior angle sum conjecture
non-vertex angles are congruent
What is the kite angle conjecture?
the opposite angles of a parallelogram are congruent
What is the parallelogram opposite angles conjecture?
if 2 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 rhiombus
what is the double edged straightedge conjecture?
the sum of the angles in a triangle
180 degrees
180 (n-2)
what is the polygon sum conjecture equation?
the diagonals of a triangle are perpendicular
What is the kite diagonal conjecture?
the consecutive angles of a parallelogram are supplementary
What is the parallelogram consecutive angles conjecture?
the diagonals of a rhombus are perpendicular and they bisect each other
what is the rhombus diagonals conjecture?
540 degrees
the sum of the measures of the five interior angles of any pentagon is
they demonstrate the "why" behind geometric problems
What are proofs?
the line segment connecting the vertex angles of a kite is the perpendicular bisector of the other line segment
What is the kite diagonal bisector conjecture?
the opposite sides of a parallelogram are congruent
What is the parallelogram opposite sides conjecture?
the diagonals of a rhombus bisect the angles of the rhombus
what is the rhombus angles conjecture?
the sum of the measures of the n interior angles of an n-gon is (n - 2) × 180°
What is the polygon sum conjecture?
180 (n-2) / n
What is the equiangular polygon sum conjecture equation?
the vertex angle of a kite are bisected by a diagonal
What is the kite angle bisector conjecture?
The diagonals of a parallelogram bisect eachother
What is the parallelogram diagonals conjecture?
the diagonals of a rectangle are congruent and bisect eachother
what is the rectangle diagonals conjecture?
A circle
how many degrees is a circle?
Exterior angles
the consecutive angles between the bases of a trapezoid are supplementary
What is the trapezoid consecutive angles conjecture.
the diagonals of a square are congruent, bisect each other, and are congruent.
what is the square diagonals conjecture?