”Angle Bisector Theorem (6.1)

If a point is on the bisector of an angle  

”base angles of a trapezoid (7.5)

two consecutive angles that share a base”  

”Bases of a trapizoid (7.5)

the parallel sides of a trapezoid”  

”Consecutive vertices (7.1)

endpoints of the same side”  

”Corallary to the Polgygon Angle Sum Theorem (7.1)

The sum of the measures of a quadrilateral is 360 degrees”  

”Diagonals (7.1)

Segments that connects any 2 nonconsecutive vertices of a polygon”  

”equidistant (6.1)

equally distant from 2 points”  

”Hinge Theorem (6.6)

If two sides of one triangle are congruent to two sides of another triangle  

”isosceles trapeziod base angles theorem (7.5)

the base angles of an isosceles trapazoid are congruent”  

”isosceles trapezoid (7.5)

a trapezoid with congruent legs”  

”isosceles trapezoid diagonals theorem (7.5)

a quadrilateral is a trapezoid if and only if the diagonals are congruent”  

”kite (7.5)

A quadrilateral that has two pairs of consecutive congruent sides  

”Kite Diagonals Theorem (7.5)

If a quadrilateral is a kite  

”Kite Opposite Angles Theorem (7.5)

If a quadrilateral is a kite  

”legs of a trapezoid (7.5)

the nonparallel sides of a trapezoid”  

”Midsegment (6.4)

segment that connects the midpoints of two sides of a triangle”  

”Parallelogram (7.2)

A quadrilateral with two pairs of parallel sides”  

”Parallelogram Consecutive Angles Theorem (7.2)

If a quadrilateral is a parallelogram  

”Parallelogram Diagonals Theorem (7.2)

If a quadrilateral is a parallelogram  

”Parallelogram Opposite Angles Theorem (7.2)

If a quadrilateral is a parallelogram  

”Parallelogram Opposite Sides Theorem (7.2)

If a quadrilateral is a parallelogram  

”perpendicular bisector (6.1)

A line that is perpendicular to a segment at its midpoint.”  

”Perpendicular Bisector Theorem (6.1)

In a plane  

”Polygon Exterior Angles Theorem (7.1)

the sum of the exterior angle measures of a convex polygon is 360”  

”Polygon Interior Angles Theorem (7.1)

The sum of the measures of the interior angles of a convex n-gon is (n-2)*180”  

”rectangle (7.4)

A parallelogram with four right angles”  

”Rectangle Corollary (7.4)

A quadrilateral is a rectangle if and only if it has four right angles”  

”Rectangle Diagonals Theorem (7.4)

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

”Rhombus (7.4)

A parallelogram with four congruent sides”  

”Rhombus Corollary (7.4)

A quadrilateral is a rhombus if and only if it has four congruent sides”  

”Rhombus Diagonals Theorem (7.4)

A parallelogram is a rhombus if and only if its diagonals are perpendicular”  

”Rhombus Opposite Angles Theorem (7.4)

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

”square (7.4)

A parallelogram with four congruent sides and four right angles.”  

”Square Corollary (7.4)

A quadrilateral is a square if and only if it is a rhombus and a rectangle.”  

”Trapizoid (7.5)

a quadrilateral with exactly 1 pair of parallel sides”  

”Triangle Inequality Theorem (6.5)

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.”  

”Triangle Larger Angle Theorem (6.5)

If one angle of a triangle is larger than another angle  

”Triangle Longer Side Theorem (6.5)

If one side of a triangle is longer than another side  

”Triangle Midsegment Theorem (6.4)

The segment connecting the midpoints of two sides of a triangle is parallel to the third side and is half as long as that side.”  

”Vertices (7.1)

point where two consecutive sides intersect”