Chapter 6 Pre-test

16 Questions

Settings
Please wait...
Chapter 6 Pre-test

Related Topics
Questions and Answers
  • 1. 
    Isosceles trapezoid ABCD has legs and , and base . If AB = 5y – 10, BC = 6y + 2, and CD = 2y + 8, find the value of y.
    • A) 6
    • B) 3
    • C) 12
    • D) 1.5
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 2. 
    Describe the figure using as many of these words as possible: rectangle, trapezoid, square, quadrilateral, parallelogram, rhombus.
    • A) trapezoid, quadrilateral
    • B) rhombus, quadrilateral
    • C) quadrilateral, parallelogram
    • D) square, parallelogram
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 3. 
    Find the values of the variables for the kite. Then find the lengths of the sides.
    • A) x = 9, y = 4; side lengths 6, 11
    • B) x = 2, y = ; side lengths 2, 7
    • C) x = 4, y = 9; side lengths 6, 11
    • D) x = , y = 3; side lengths , 5
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 4. 
    In the figure, the horizontal lines are parallel and AB = BC = CD. Find JK and GH, respectively.
    • A) 4, 5.5
    • B) 5.5, 5.5
    • C) 4, 4
    • D) 5.5, 4
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 5. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 6. 
    If m∠B = m∠D = 72, find m∠C so quadrilateral ABCD is a parallelogram.
    • A) 108
    • B) 162
    • C) 72
    • D) 18
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 7. 
    Complete ≅ _____ for parallelogram EFGH. Then state a definition or theorem as the reason.
    • A) ; because the angles of a parallelogram bisect each other
    • B) ; because the diagonals of a parallelogram bisect each other
    • C) ; because the diagonals of a parallelogram bisect each other
    • D) ; because the angles of a parallelogram bisect each other
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 8. 
    Which description would NOT guarantee that the figure was a square?
    • A) a parallelogram with perpendicular diagonals
    • B) both a rectangle and a rhombus
    • C) a quadrilateral with all sides and all angles congruent
    • D) a quadrilateral with all right angles and all sides congruent
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 9. 
    DEFG is a rectangle. Find the value of x and the length of each diagonal if DF = 2x – 1 and EG = x + 3.
    • A) x = 4, DF = EG = 7
    • B) x = 2, DF = 3, EG = 5
    • C) x = , DF = , EG =
    • D) x = 7, DF = 13, EG = 10
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 10. 
    Verify that quadrilateral BCDE is a rhombus with vertices B(–2, 0), C(–2, 0), D(0, 6), and E( 5, 1) by showing that all four sides are equal.
    • A) BD = CE =
    • B) BD = CE = 50
    • C) BC = CD = DE = EB = 50
    • D) BC = CD = DE = EB =
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 11. 
    Must the figure be a parallelogram? Explain.
    • A) Yes; one pair of opposite sides is parallel.
    • B) No; all four sides are not congruent.
    • C) Yes; both pairs of opposite sides are congruent.
    • D) No; only one pair of opposite sides is congruent.
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 12. 
    Which of the figures below appears to be a trapezoid?
    • A)
    • B)
    • C)
    • D)
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 13. 
    One side of a kite is 4 cm less than three times the length of another. If the perimeter is 84 cm, find the length of each side of the kite. Round your answer to the nearest tenth.
    • A) 46 cm, 38 cm
    • B) 23 cm, 19 cm
    • C) 23 cm, 61 cm
    • D) 11.5 cm, 30.5 cm
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 14. 
    ∠J and ∠M are base angles of isosceles trapezoid JKLM. If m∠J = 21x + 4, m∠K = 12x – 8, and ∠M = 14x + 10, find the value of x.
    • A)
    • B) 2
    • C) –
    • D) –9
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 15. 
    Four vertices in the plane have the coordinates A(a, 0), B(b, 0), C(b, c), and D(a, c), where c > b > a > 0. If the vertices are connected, what type of figure could result?
    • A) right triangle
    • B) isosceles trapezoid
    • C) rhombus
    • D) rectangle
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D

  • 16. 
    • A. 

      A

    • B. 

      B

    • C. 

      C

    • D. 

      D