TrapezoidsSec: 6.6Sol: G.9

Foldable* Fold over the fourth cut section and write Trapeziod on the outside.* Reopen the fold.

1. Opposite angles are congruent.2. Consecutive angles are

supplementary.3. Opposite sides are congruent.4. Diagonals bisect each other.5. Diagonals make 2 congruent

triangles.

1.Is a special type of parallelogram.

2. Has 4 right angles3. Diagonals are congruent.

1. Is A Special type of Parallelogram

2. Has 4 Congruent sides3. Diagonals are perpendicular.4. Diagonals bisect opposite

angles

1. Is a parallelogram, rectangle, and rhombus

2. 4 congruent sides and 4 congruent (right) angles

Foldable* On the left hand section, draw a trapezoid.

1. Opposite angles are congruent.2. Consecutive angles are

supplementary.3. Opposite sides are congruent.4. Diagonals bisect each other.5. Diagonals make 2 congruent

triangles.

* On the right hand side, list all of the properties of a trapezoid.

1.Is a special type of parallelogram.

2. Has 4 right angles3. Diagonals are congruent.

1. Is A Special type of Parallelogram

2. Has 4 Congruent sides3. Diagonals are perpendicular.4. Diagonals bisect opposite

angles

1. Is a parallelogram, rectangle, and rhombus

2. 4 congruent sides and 4 congruent (right) angles

1. 1. Is a quadrilateral with exactly onepair of parallel sides.

2. There are two pairs of bases angles.

A trapezoid is a quadrilateral with exactly __________ pair of _____________________ sides.

Example:

The parallel sides are called _______________.The nonparallel sides are called ________________.In a trapezoid there are two pairs of

_________________ angles.

B

E

C

D

oneparallel

Bases Legs

Base

Base

Base

Leg LegBase Angles

If the legs of a trapezoid are congruent, then the trapezoid is an _________ trapezoid.

Example:

Isosceles

RK

D O

Theorem 8.18 : Both pairs of base angles of an isosceles trapezoid are Congruent.

Theorem 8.19 : The diagonals of an isosceles trapezoid are Congruent.

RK

D O

RK

D O

The _________ of a trapezoid is the segment that joins the midpoints of its legs.

Theorem 8.20 : The median of a trapezoid is Parallel to the bases, and its measure is one-half the sum of the measures of the Bases.

Median

M R

E

CY

A

A B

CD

EF )(

21 DCABEF

Suggested Assignments:Classwork: WB pg 167-168 2-16 even

Homework: pg 394 7-15, 28-33, 47-52