6.6 Trapezoids Flashcards
Trapezoid
A quadrilateral with exactly one pair of parallel sides
Isosceles Trapezoid
A trapezoid with congruent legs
Bases of a Trapezoid
Parallel sides
Legs of a Trapezoid
Nonparallel sides
Base Angles of a Trapezoid
A pair of angles that share a common base
Trapezoid Base Angles Theorem
If a trapezoid is isosceles, then each pair of base angles is congruent
Trapezoid Diagonals Theorem
If a trapezoid is isosceles, then its diagonals are congruent
If a trapezoid has 1 pair of congruent base angles, then…
it is an isosceles trapezoid
If a trapezoid has congruent diagonals, then…
it is an isosceles trapezoid
Midsegment of a Trapezoid
The segment that connects the midpoints of the legs
Midsegment Theorem for Trapezoids
The midsegment of a trapezoid is parallel to each base, and is 1/2 the length of the sum of the lengths of it’s bases