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Quadrilaterals - Pearson Geometry Common Core Chapter 6

Terms in this set (43)

Polygon Angle-Sum Theorem
The sum of the measures of the interior angles of an n-gon is 180(n-2). (6.1)
Equilateral Polygon
A polygon with all sides congruent. (6.1)
Equiangular Polygon
A polygon with all angles congruent. (6.1)
Regular Polygon
A polygon that is both equilateral and equiangular. (6.1)
Corollary to the Polygon Angle-Sum Theorem
The measure of each interior angle of a regular n-gon is (180(n-2))/n). (6.1)
Polygon Exterior Angle-Sum Theorem
The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. (6.1)
Parallelogram
A quadrilateral with both pairs of opposite sides parallel. (6.2)

Other characteristics:
Opposite sides are congruent. (6.2)
Consecutive angles are supplementary. (6.2)
Opposite angles are congruent. (6.2)
Diagonals bisect each other. (6.2)
An angle of a quadrilateral is supplementary to both of its consecutive angles. (6.3)
Both pairs of opposite angles are congruent. (6.3)
Diagonals bisect each other. (6.3)
One pair of opposite sides of a quadrilateral is both congruent and parallel. (6.3)
Opposite Sides of a Quadrilateral
Opposite sides of a quadrilateral are two sides that do not share a vertex. (6.2)
Opposite Angles of a Quadrilateral
Opposite angles of a quadrilateral are two angels that do not share a side. (6.2)
Theorem 6-3
If a quadrilateral is a parallelogram, then its opposite sides are congruent. (6.2)
Consecutive Angles of a Polygon
Consecutive angles of a polygon share a common side. (6.2)
Theorem 6-4
If a quadrilateral is a parallelogram, then its consecutive angles are supplementary. (6.2)
Theorem 6-5
If a quadrilateral is a parallelogram, then its opposite angles are congruent. (6.2)
Theorem 6-6
If a quadrilateral is a parallelogram, then its diagonals bisect each other. (6.2)
Theorem 6-7
If three (or more) parallel lines cut off congruent segments on one transversal, then they cut off congruent segments on every transversal. (6.2)
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