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Determining Inverse and Contrapositive of If-Then Statement

Quiz by Beverly Nicol

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5 questions
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  • Q1

    What is the contrapositive of the conditional "If a triangle has 3 congruent sides, then it is  equilateral."

    If a triangle is equilateral, then it  has 3 congruent sides.

    If a triangle is not equilateral, then it doesn't have 3 congruent sides.

    If a triangle has 3 congruent sides, then it is equilateral.

    A triangle is equilateral if and only if it has 3 congruent sides.

    30s
  • Q2

    If the coordinates of point B is (3,0), then it is in the x-axis. Determine the inverse of the statement.

    If it is not in x-axis, then the coordinates of point B is not (3,0).

    If it is in x-axis, then the coordinates of point B is (3,0).

    If the coordinates of a point B is not (3,0), then it is not in x-axis.

    The coordinates of point B is (3,0) if and only if it is in x-axis.

    30s
  • Q3

    What is the contrapositive of "If x + y = 1, then y = x - 1."?

    If\ y\ne x-1,\ then\ x+y\ne1.

    x+y=1\ if\ and\ only\ if\ y=x-1.

    If\ y=x-1,\ then\ x+y=1.

    If\ x+y\ne1,\ then\ y\ne x-1.

    30s
  • Q4
    30s
  • Q5
    30s

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