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7.1 Polygon Interior Angles Theorem
The sum of the measures of the interior angles of a convex n-gon is (n-2)*180
7.2 Polygon Exterior Angles Theorem
The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is always 360 degrees.
7.3 Parallelogram Opposite Sides Theorem
If a quadrilateral is a parallelogram, Then it's opposite sides are congruent.
7.4 Parallelogram Opposite Angles Theorem
If a quadrilateral is a parallelogram, Then it's opposite angles are congruent.
7.5 Parallelogram Consecutive Angles Theorem
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.
7.6 Parallelogram Diagonals Theorem
If a quadrilateral is a parallelogram, then its diagonals bisect each other. (The diagonals are halfed n shid)
7.7 Parallelogram Opposite Sides Converse
If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
7.8 Parallelogram Opposite Angles Converse
If both pairs of opposite angles are congruent & parallel, Then the quadrilateral is a parallelogram
7.9 Opposite Sides Parallel and Congruent Theorem
If one pair of opposite sides of a quadrilateral are congruent then the quadrilateral is a parallelogram
7.10 Parallelogram Diagonals Converse
If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
7.11 Rhombus Diagonals Theorem
A parallelogram is a rhombus if and only if the diagonals inside of it are perpendicular.
7.12 Rhombus Opposite Angles Theorem
A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.
7.13 Rectangle Diagonals Theorem
A parallelogram is a rectangle if and only if its diagonals are congruent.
7.14 Isosceles Trapezoid Base Angles Theorem
If a trapezoid is isosceles, Then each pair of base angles is congruent.
7.15 Isosceles Base Angles Converse
If a trapezoid has a pair of congruent base angles, Then it is an isosceles trapezoid.
7.16 Isosceles Trapezoid Diagonals Theorem
A trapezoid is isosceles if and only if the diagonals are congruent.
7.17 Trapezoid Midsegment Theorem
The midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.
7.18 Kite Diagonals Theorem
If a quadrilateral is a kite, then its diagonals are perpendicular.
7.19 Kite Opposite Angles Theorem
If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.