1. 6.1 The Polygon angle-sum theorems
-Polygon: a closed plane figure with at least 3 sides that are segments that only intersect at their endpoints where no adjacent sides are collinear
-Regular Polygon: a polygon that is both equilateral and equilangular

2. 6.1 The Polygon angle-sum theorems
-Equilateral Polygon: all sides are congruent
-Equilangular Polygon: all angles are congruent
-Convex Polygon: no diagonal with points outside the polygon
-Concave Polygon:
At least 1 diagonal
with points outside
the polygon

3. 6.1 The Polygon angle-sum theorems
-Theorem 3.14: The Polygon Angle-Sum Theorem says the sum of the angles of an
n-gon is (n-2)180
-Theorem 3.15: The Polygon Exterior Angle-Sum Theorem says the sum
of the angles of a polygon
at each vertex is 360.

4. 6.1 The Polygon angle-sum theorems

5. 6.2 Properties of parallelograms
-Theorem 6.1: Opposite sides of a parallelogram
are congruent
-Theorem 6.2: Opposite angles of a parallelogram are congruent
-Theorem 6.3: the diagonals of a parallelogram bisect each other
-Theorem 6.4: if 3+ parallel lines cut off congruent segments on 1 transversal, then they cut off congruent segments on every transversal

6. 6.3 proving a quadrilateral is a parallelogram
-Theorem 6.5: If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram
-Theorem 6.6: If both pairs of opposite
angles of a quadrilateral are congruent,
then the quadrilateral is a parallelogram
-Theorem 6.7: If diagonals of a
quadrilateral bisect each other, then the quadrilateral is a parallelogram
-Theorem 6.8: If 1 pair of opposite sides of a quadrilateral is both congruent and parallel, then the quadrilateral is a parallelogram

7. 6.4 properties of rhombuses, rectangles, and squares
quadrilateral with opposite sides
parallel pairs of adjacent sides are congruent
parallelogram with 4 congruent quadrilateral with 1 pair of sides parallel sides
parallelogram with 4 right angles
1 pair of parallel sides and
other sides are congruent
parallelogram with 4 congruent sides
and 4 right angles

8. 6.5 conditions of rhombuses, rectangles, and squares
-Theorem 6.9: Each diagonal of a rhombus bisects 2 angles of the rhombus
-Theorem 6.10: The diagonals of a rhombus are perpendicular
-Theorem 6.11: The diagonals of a rectangle are congruent
-Theorem 6.12: If 1 diagonal of a parallelogram bisects 2 angles of the parallelogram, then the parallelogram is a rhombus
-Theorem 6.13: If the diagonals of a parallelogram are perpendicular, then the parallelogram is a rhombus
-Theorem 6.14: If the diagonals of a parallelogram are congruent, then the parallelogram is a rectangle

9. 6.6 Trapezoids and Kites
-Theorem 6.15: The base angles of an isosceles trapezoid are congruent
-Theorem 6.16: The diagonals of an isosceles trapezoid are congruent
-Theorem 6.17: The diagonals of a kite are perpendicular