Chapter 5- Polygons Flashcards
Pentagon sum conjecture
The sum of the measures of the five interior angles of a pentagon is 540 degrees
Quadrilateral sum conjecture
The sum of the four interior angles of any quadrilateral is 360 degrees
POLYGON SUM CONJECTURE
The sum of the measures of the n interior angles of an n-gon is 180(n-2)
Exterior angle sum conjecture
For any polygon, the measures of a set of exterior angles is 360 degrees
Equiangular polygon conjecture
You can find the measure of each interior angle of an equiangular n-gon by using either of these formulas:
180= 360 OR 180 (n-2)
—– ———-
n n
Kite
A quadrilateral with two sets of consecutive congruent sides
Kite properties
Nonvertex angles are congruent
Diagonals are perpendicular
Vertex diagonal is bisector of Nonvertex diagonal.
Diagonals are angle bisectors
Consecutive angles between bases of trapezoids are
Supplementary
Isosceles trapezoid
Trapezoid whose two non parallel sides are the same length
Base angles and diagonals of an isosceles trapezoid are
Congruent
Three midsegments conjecture
The three mid segments of a triangle divide it into four congruent triangles
Triangle mid segment conjecture
The mid segment of a triangle is parallel to and is half the length of the third side
Trapezoid mid segment conjecture
The mid segment of a trapezoid is parallel to both bases and is equal in length to the average of the bases
Properties of parallelograms
Consecutive angles are supplementary
Opposite angles are congruent
Opposite sides are congruent
Diagonals bisect each other
Properties of rhombi
Diagonals are perpendicular
Diagonals bisect each other
Diagonals bisect angles
