TrapezoidsSECTION 8.6

What are the properties of a trapezoid, and how do I apply them?

How do I solve problems involving the median of a trapezoid?

TRAPEZOIDS

Trapezoid: A quadrilateral with exactly one pair of parallel sides.

How does this compare to a parallelogram?

TRAPEZOID

Bases: The parallel sides

Legs: Non-parallel sides

Base Angle: Angle formed by a leg and a base

Isosceles Trapezoids: A trapezoid with congruent legs

TERMS

Median: Segment that joins the midpoints of the legs.

TERMS

1. Both pairs of base angles in an isosceles trapezoid are

2. Diagonals of an isosceles trapezoid are 3. The median is ǁ to the bases.4. The length of the median is

THEOREMS

Given: DEFG is an isosceles trapezoid with median . If , find .

EXAMPLE

Given: DEFG is an isosceles trapezoid with median . a) If , find .b) If, find

EXAMPLE

ABCD is a quadrilateral with A(5, 1), B(-3, -1), C(-2, 3), D(2, 4) Verify that ABCD is a trapezoid Is it isosceles? What are the endpoints of the median?

EXAMPLE

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HOMEWORK

LESSON PLAN

Intro One more special quadrilateral – trapezoid

Standards- 8.Supplies – slides, whiteboard, handouts,Timing - 1 day 1 review day and a quizEssential Questions- slide 2 Input – slides 3 - 6Guided Practice – slides 7 - 9 Independent Practice – bookwork