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19 Terms

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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

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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.

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7.3 Parallelogram Opposite Sides Theorem

If a quadrilateral is a parallelogram, Then it's opposite sides are congruent.

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7.4 Parallelogram Opposite Angles Theorem

If a quadrilateral is a parallelogram, Then it's opposite angles are congruent.

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7.5 Parallelogram Consecutive Angles Theorem

If a quadrilateral is a parallelogram, then its consecutive angles are supplementary.

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7.6 Parallelogram Diagonals Theorem

If a quadrilateral is a parallelogram, then its diagonals bisect each other. (The diagonals are halfed n shid)

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7.7 Parallelogram Opposite Sides Converse

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

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7.8 Parallelogram Opposite Angles Converse

If both pairs of opposite angles are congruent & parallel, Then the quadrilateral is a parallelogram

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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

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7.10 Parallelogram Diagonals Converse

If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

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7.11 Rhombus Diagonals Theorem

A parallelogram is a rhombus if and only if the diagonals inside of it are perpendicular.

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7.12 Rhombus Opposite Angles Theorem

A parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.

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7.13 Rectangle Diagonals Theorem

A parallelogram is a rectangle if and only if its diagonals are congruent.

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7.14 Isosceles Trapezoid Base Angles Theorem

If a trapezoid is isosceles, Then each pair of base angles is congruent.

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7.15 Isosceles Base Angles Converse

If a trapezoid has a pair of congruent base angles, Then it is an isosceles trapezoid.

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7.16 Isosceles Trapezoid Diagonals Theorem

A trapezoid is isosceles if and only if the diagonals are congruent.

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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.

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7.18 Kite Diagonals Theorem

If a quadrilateral is a kite, then its diagonals are perpendicular.

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7.19 Kite Opposite Angles Theorem

If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.