Geometry/Notes 8.6
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Transcript of Geometry/Notes 8.6
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TrapezoidsSECTION 8.6
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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
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Trapezoid: A quadrilateral with exactly one pair of parallel sides.
How does this compare to a parallelogram?
TRAPEZOID
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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
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Median: Segment that joins the midpoints of the legs.
TERMS
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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
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Given: DEFG is an isosceles trapezoid with median . If , find .
EXAMPLE
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Given: DEFG is an isosceles trapezoid with median . a) If , find .b) If, find
EXAMPLE
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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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Page 442 9 - 19 22 – 27
HOMEWORK
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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