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Lesson 5.11 Page 323

Learn the definitions of trapezoids and kites, and explore examples and properties of these quadrilaterals. Also, practice finding slopes, angle measures, and segment lengths.

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Lesson 5.11 Page 323

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  1. Lesson 5.11Page 323 Trapezoids and Kites

  2. Which of these are trapezoids? D A B C G F I H A parallelogram is a quadrilateral with both pairs of opposite sides parallel. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

  3. What is a trapezoid? • A trapezoid is a quadrilateral with exactly one pair of sides parallel. • Bases • Base angles • Legs • Isosceles trapezoid

  4. Slope Slope describes the direction of a line.

  5. Why is this needed? Slope If x1  x2, the slope of the line through the distinct points (x1, y1) and (x2, y2) is Guard against 0 in the denominator

  6. Now find the slope between (-5, 3) and (-1, 1) y-axis x-axis Find the slope between (-3, 6) and (5, 2) Rise -4 -1 = = Run 8 2

  7. Find the slope between(-3, 6) and (5, 2) Now find the slope between (-5, 3) and (-1, 1)

  8. Example • Show that ABCD is a trapezoid. B (4, 5) C (7, 3) A (1, 2) D (7, -2)

  9. Homework Assignment: Page 325 # 1 – 9 odd

  10. Homework Problem #1: • Points A, B, C, and D are vertices of a quadrilateral. Determine whether ABCD is a trapezoid. A (-2, 3) B (3, 3) C (-1, -2) D (2, -2)

  11. # 3 and 4 Find the angle measure.

  12. #5 and 6 Find the length of the midsegment.

  13. # 7 and 8 Find angle K

  14. #9 and 10 Kites and Pythagoras

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