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Determining Inverse and Contrapositive of If-Then Statement

Quiz by Beverly Nicol

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Q 1/5
Score 0
What is the contrapositive of the conditional "If a triangle has 3 congruent sides, then it is equilateral."
29
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.

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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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