Triangle And Quadrilateral Properties Reasoning Quiz

10 Questions | Total Attempts: 505

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Triangle And Quadrilateral Properties Reasoning Quiz - Quiz

Do you fully understand triangle and quadrilateral properties? We will see as you take this triangle and quadrilateral properties reasoning quiz that's here for you. A triangle is a closed figure with three straight sides and three angles. On the other hand, a quadrilateral has four straight sides and four angles. However, the quiz is more than just the basic definition of the two. It will not only test your knowledge but also boost your understanding.


Questions and Answers
  • 1. 
    How many counterexamples do you need to disprove a conjecture about a geometric relationship?
    • A. 

      0

    • B. 

      1

    • C. 

      2

    • D. 

      3

  • 2. 
    Amy drew the diagram below and made a conjecture.  "Midsegments in a triangle _____ form(s) 4 equal triangles.  Which word completes Amy's conjecture?
    • A. 

      Always

    • B. 

      Sometimes

    • C. 

      Never

    • D. 

      Cannot

  • 3. 
    Which of these statements is true about a triangle?
    • A. 

      A triangle may have a line longer than the other two.

    • B. 

      A triangle will always have a line longer than the other two.

    • C. 

      A triangle will always have all lines equal in length.

    • D. 

      None of these

  • 4. 
    The midsegments of a quadrilateral always form a
    • A. 

      Square

    • B. 

      Rectangle

    • C. 

      Rhombus

    • D. 

      Parallelogram

  • 5. 
    Which conjecture is correct?
    • A. 

      The diagonals of a trapezoid always intersect to form two pairs of equal line segments.

    • B. 

      The diagonals of a quadrilateral always form angles that are supplementary when adjacent.

    • C. 

      The diagonals of a rhombus are always equal and bisect each other.

    • D. 

      The diagonals of a parallelogram always form angles that are 90 degrees.

  • 6. 
    A conjecture that is sometimes true should not be
    • A. 

      Rejected

    • B. 

      Revised

    • C. 

      Accepted

    • D. 

      Examined

  • 7. 
    Colin wanted to make a variety of pennants by sewing a smaller triangle on top of a larger triangle, aligning the vertices of the smaller triangle with the midpoints of the larger triangle. He argued that the length of the side of the smaller triangle is exactly one-half the length of an intersecting side of the larger triangle.  Colin's conjecture needs to be revised because it is only correct for ________ triangles.
    • A. 

      Right

    • B. 

      Scalene

    • C. 

      Isosceles

    • D. 

      Equilateral

  • 8. 
    Which conjecture is true for a kite?
    • A. 

      Its midsegments form a rectangle.

    • B. 

      Its midsegments and sides form 2 pairs of congruent triangles.

    • C. 

      Its midsegments form a square.

    • D. 

      Its midsegments form a shape that is divided into 4 equal parts by the diagonals.

  • 9. 
    Jafar said the midpoints of a rhombus always form a square.  His conjecture is
    • A. 

      Correct because it is always true

    • B. 

      Incorrect because it is never true

    • C. 

      Correct because it is sometimes true

    • D. 

      Incorrect because it is sometimes false

  • 10. 
    Kevin created a true conjecture to predict the measure of the exterior angle of a triangle when the two angles opposite the adjacent  interior angle are known.  Which formula would support his conjecture?
    • A. 

      D = square root of (b^2 + c^2)

    • B. 

      D = b + c

    • C. 

      D = a + c

    • D. 

      D = b - c

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