a. Write the contrapositive of the following statement b. Use the contrapositive

Question

a. Write the contrapositive of the following statement b. Use the contrapositive to determine whether the original statement is true or fa Statement: If a pair of lines do not intersect, then the pair of lines are parallel. a. Which of the following is the contrapositive of the given statement? O A. If a pair of lines are not parallel, then the pair of lines are parallel. If a pair of lines do not intersect, then the pair of lines are paraliel B. If a pair of lines are not parallel, then the pair of lines do not intersect. O C. If a pair of lines do not intersect, then the pair of lines are not parallel. 0 D. If a pair of lines are not parallel, then the pair of lines intersect

Explanation / Answer

Contrapositive

Switching the hypothesis and conclusion of a conditional statement and negating both.

For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

a.

so Contrapositive statement will be

D. If a pair of lines are not parallel, then the pair of lines intersect

b. Yes the original statement is true

Contrapositive

Switching the hypothesis and conclusion of a conditional statement and negating both.

For example, the contrapositive of "If it is raining then the grass is wet" is "If the grass is not wet then it is not raining."

a.

so Contrapositive statement will be

D. If a pair of lines are not parallel, then the pair of lines intersect

b. Yes the original statement is true

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