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6.5 Trapezoids Textbook page 332
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A trapezoid is a quadrilateral with exactly one pair of parallel sides.
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The parallel sides of a trapezoid are called the bases. base
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The non parallel sides of a trapezoid are called the legs base leg
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The base angles of a trapezoid are the angles attached to the same base. (there are two pairs) base Base angle pair leg
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Angles on the same leg are supplementary Parallel lines Same-side interior angles base Base angle pair leg Add up to 180 0 leg Add up to 180 0
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Angles on the same leg are supplementary Parallel lines
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Angles on the same leg are supplementary Cut by a transversal
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Angles on the same leg are supplementary Same-side interior angles
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The midsegment of a trapezoid connects the midpoints of the legs midsegment The measure of the midsegment is equal to the average of the measures of the bases ½ (b 1 + b 2 ) OR (b 1 + b 2 ) 2 midpoint The midsegment of a trapezoid is parallel to the bases
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The legs of an isosceles trapezoid are congruent.
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Each pair of base angles in an isosceles trapezoid are congruent.
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Examples pg 333 1) A = 80 0, B = 80 0, C = 100 0 2) A = 110 0, B = 110 0, D = 70 0 3) B = 75 0, C = 105 0, D = 105 0 4) 11 units 5) 8 units 6) 21 units
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Homework Assignment # 14 Pg 334 Problems 1-26 all, 34-38 all, 39-45 odd Do not pack up early
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