6.6 Flashcards
Trapezoid
Is a quadrilateral with exactly one pair of parallel sides.
Base = parallel sides Legs = non parallel sides
Isosceles Trapezoid
Trapezoid with congruent legs.
Base Angles
Pair of angles that share a common base
***each trapezoid has two pair
Thm. 6.17: Trapezoid Base Angles Thm.
If a trapezoid is isosceles, then each pair of base angles is congruent.
Thm. 6.18: Trapezoid Diagonals Thm.
If a trapezoid is isosceles, then its diagonals are congruent.
Thm. 6.19
If a trapezoid has one pair of congruent base angles, then it is an isosceles trapezoid.
Thm. 6.20
If a trapezoid has congruent diagonals, then it is an isosceles trapezoid.
Midsegment
The midsegment of a trapezoid is the segment that connects (joins) the midpoints of its legs.
Thm. 6.21: Midsegment Thm. for Trapezoids
The midsegment of a trapezoid is parallel to each base, and its length is half the sum of the lengths of the bases.