5.1 - Polygon Sum Conjecture
A 7-sided polygon.
What is a Heptagon?
The measure (in degrees) of one exterior angle of the pentagon (building). Hint: it is regular polygon.
What is 108.
The diagonals of a kite are perpendicular.
What is the Kite Diagonals Conjecture?
A quadrilateral whose opposite sides are parallel.
What is a quadrelateral?
The diagonals of a rhombus bisect the angles of the rhombus.
What is the Rhombus Angles Conjecture?
A polygon that has N amount of sides.
What is an N-Gon?
For any polygon, the sum of the measures of a set of exterior angles is 360.
What is the Exterior Angle Sum Conjecture?
The diagonals of an isosceles trapezoid are congruent.
What is the Isosceles Trapezoid Diagonals Conjecture?
The diagonals of a parallelogram bisect each other.
What is the Parallelogram Diagonals Conjecture?
The diagonals of a rhombus are perpendicular and they bisect each other.
What is the Rhombus Diagonals 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?
A polygon with one set of exterior angles.
What is a pinwheel polygon?
The consecutive angles between the bases of a trapezoid are supplementary.
What is the Trapezoid Consecutive Angles Conjecture?
The opposite sides of a parallelogram are congruent.
What is the Parallelogram Opposite Sides Conjecture?
The diagonals of a rectangle are congruent and bisect each other.
What is the Rectangle Diagonals Conjecture?
The sum of the measures of the four interior angles of any quadrilateral is 360.
What is the Quadrilateral Sum Conjecture?
You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas: 180(n-2)/n OR 180-360/n
What is the Equiangular Polygon Conjecture?
The vertex angles of a kite are bisected by a diagonal.
What is the Kite Angle Bisector Conjecture?
The opposite angles of a parallelogram are congruent.
What is the Parallelogram Opposite Angles Conjecture?
The diagonals of a square are congruent, perpendicular bisectors, and angle bisectors.
What is the Square Diagonals Conjecture?
The sum of the measures of the five interior angles of any pentagon is 540.
What is the Pentagon Sum Conjecture?
The angle between one side of a shape and the coresponding auxiliary line.
What is an exterior angle.
The diagonal connecting the vertex angles of a kite is the perpendicular bisector of the other diagonal.
What is the Kite Diagonal Bisector Conjecture?
The consecutive angles of a parallelogram are supplementary.
What is the Parallelogram Consecutive Angles Conjecture?
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.
What is the Double-Edged Straightedge Conjecture?