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6.5 Trapezoids Textbook page 332. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

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Presentation on theme: "6.5 Trapezoids Textbook page 332. A trapezoid is a quadrilateral with exactly one pair of parallel sides."— Presentation transcript:

1 6.5 Trapezoids Textbook page 332

2 A trapezoid is a quadrilateral with exactly one pair of parallel sides.

3 The parallel sides of a trapezoid are called the bases. base

4 The non parallel sides of a trapezoid are called the legs base leg

5 The base angles of a trapezoid are the angles attached to the same base. (there are two pairs) base Base angle pair leg

6 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

7 Angles on the same leg are supplementary Parallel lines

8 Angles on the same leg are supplementary Cut by a transversal

9 Angles on the same leg are supplementary Same-side interior angles

10 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

11 The legs of an isosceles trapezoid are congruent.

12 Each pair of base angles in an isosceles trapezoid are congruent.

13 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

14 Homework Assignment # 14 Pg 334 Problems 1-26 all, 34-38 all, 39-45 odd Do not pack up early


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