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Chapter 6.2 and 6.3

Chapter 6.2 and 6.3. Parallelograms and Tests for Parallelograms. Parallelogram. A parallelogram is a quadrilateral with both pairs of opposite sides parallel. Concept 1. A. CONSTRUCTION In suppose m  B = 32, CD = 80 inches, BC = 15 inches. Find AD .

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Chapter 6.2 and 6.3

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  1. Chapter 6.2 and 6.3 Parallelograms and Tests for Parallelograms

  2. Parallelogram • A parallelogram is a quadrilateral with both pairs of opposite sides parallel

  3. Concept 1

  4. A. CONSTRUCTION In suppose mB = 32, CD = 80 inches, BC = 15 inches. Find AD. Use Properties of Parallelograms

  5. B. CONSTRUCTION In suppose mB = 32, CD = 80 inches, BC = 15 inches. Find mC. Use Properties of Parallelograms

  6. C. CONSTRUCTION In suppose mB = 32, CD = 80 inches, BC = 15 inches. Find mD. Use Properties of Parallelograms

  7. A. ABCD is a parallelogram. Find AB. A. 10 B. 20 C. 30 D. 50

  8. B. ABCD is a parallelogram. Find mC. A. 36 B. 54 C. 144 D. 154

  9. C. ABCD is a parallelogram. Find mD. A. 36 B. 54 C. 144 D. 154

  10. Concept 3

  11. Use Properties of Parallelograms and Algebra A. If WXYZ is a parallelogram, find the value of r.

  12. Use Properties of Parallelograms and Algebra B. If WXYZ is a parallelogram, find the value of s.

  13. Use Properties of Parallelograms and Algebra C. If WXYZ is a parallelogram, find the value of t.

  14. A. If ABCD is a parallelogram, find the value of x. A. 2 B. 3 C. 5 D. 7

  15. B. If ABCD is a parallelogram, find the value of p. A. 4 B. 8 C. 10 D. 11

  16. C. If ABCD is a parallelogram, find the value of k. A. 4 B. 5 C. 6 D. 7

  17. Since the diagonals of a parallelogram bisect each other, the intersection point is the midpoint of Parallelograms and Coordinate Geometry What are the coordinates of the intersection of the diagonals of parallelogram MNPR, with vertices M(–3, 0), N(–1, 3), P(5, 4), and R(3, 1)?

  18. A. B. C. D. What are the coordinates of the intersection of the diagonals of parallelogram LMNO, with verticesL(0, –3), M(–2, 1), N(1, 5), O(3, 1)?

  19. Concept 1

  20. Identify Parallelograms Determine whether the quadrilateral is a parallelogram. Justify your answer.

  21. Which method would prove the quadrilateral is a parallelogram? A. Both pairs of opp. sides ||. B. Both pairs of opp. sides . C. Both pairs of opp. s . D. One pair of opp. sides both || and .

  22. Use Parallelograms and Algebra to Find Values Find x and y so that the quadrilateral is a parallelogram. Opposite sides of a parallelogram are congruent.

  23. Find m so that the quadrilateral is a parallelogram. A.m = 2 B.m = 3 C.m = 6 D.m = 8

  24. Concept 3

  25. Parallelograms and Coordinate Geometry COORDINATE GEOMETRYQuadrilateral QRST has vertices Q(–1, 3), R(3, 1), S(2, –3), and T(–2, –1). Determine whether the quadrilateral is a parallelogram. Justify your answer by using the Slope Formula. If the opposite sides of a quadrilateral are parallel, then it is a parallelogram.

  26. Graph quadrilateral EFGH with vertices E(–2, 2), F(2, 0), G(1, –5), and H(–3, –2). Determine whether the quadrilateral is a parallelogram using the distance formula and slope formula. A. yes B. no

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