Determining Inverse and Contrapositive of If-Then Statement

Quiz by Beverly Nicol

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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."?

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

$x+y=1\backslash \; if\backslash \; and\backslash \; only\backslash \; if\backslash \; y=x-1.$

$If\backslash \; y=x-1,\backslash \; then\backslash \; x+y=1.$

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

30s - Q430s
- Q530s