1. Trapezoids

2. *They have only one pair of opposite sides that are parallel
Trapezoids
*They have only one pair of opposite sides that are parallel
base
leg
leg
base

3. The MEDIAN connects the midpoints of the legsB C E F A D
The MEDIAN connects the midpoints of the legs

4. its length is the average of the lengths of the bases
Median Theorem
for Trapezoids
parallel to each base
and
its length is the average of the lengths of the bases

5. EXAMPLE 1 EF is the median of trapezoid ABCD. Find EF. 22 in. A B E F

6. EXAMPLE 2 BC is the median of trapezoid MATH. Find MA. A M 15 in. B C

7. EXAMPLE 3 BC is the median of trapezoid TRAP. Find TR. T R 19 in. B C

8. If the legs are congruent then the trapezoid is
ISOSCELES

9. If a trapezoid is isosceles then each pair of base angles is congruent

10. If a trapezoid is isosceles then its diagonals are congruent

11. EXAMPLE 4 Find the missing angle measures in trapezoid MATH. M H A T
60°

12. Characteristics Parallelogram Rectangle Rhombus Square Trapezoid
Isosceles Trapezoid
Opposites sides are parallel
Opposite sides are congruent
Opposite angles are congruent
Consecutive angles are supplementary
Diagonals bisects each other
Diagonals are congruent
Diagonals are perpendicular
Diagonals bisect opposite angles
All sides congruent
All angles Congruent
Base angles are congruent