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Trapezoids

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Trapezoids

Sec: 6.6

Sol: G.9

QUADRILATERALS

* Fold over the fourth cut section and write Trapeziodon the outside.

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 angles

3. Diagonals are congruent.

* Reopen the fold.

1. Is A Special type of Parallelogram

2. Has 4 Congruent sides

3. Diagonals are perpendicular.

4. Diagonals bisect opposite angles

1. Is a parallelogram, rectangle, and rhombus

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

Trapezoid

QUADRILATERALS

* 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.

1.Is a special type of parallelogram.

2. Has 4 right angles

3. Diagonals are congruent.

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

1. Is A Special type of Parallelogram

2. Has 4 Congruent sides

3. 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 one

pair of parallel sides.

2. There are two pairs of bases angles.

one

parallel

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.

Bases

Legs

Base

Base

Leg

Leg

Base Angles

Base

Isosceles

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

Example:

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.

Median

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.

Classwork: WB pg 167-168 2-16 even

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