Q2M6 INVERSE, CONVERSE, CONTRAPOSITIVE OF AN IF-THEN STATEMENT

Which of the following is the if-then form of the statement: “Angles in a linear pair are supplementary.”?

• If angles are supplementary, then it is linear pair.

• If angles are supplementary, then they are linear pair.

• If a triangle has three sides, then they are supplementary.

• If two angles are linear pair, then they are supplementary.

What is the converse statement of “If you live in the Philippines, then you are a Filipino.”?

• If you are a Filipino, then you live in the Philippines.

• If you live in the Philippines, then you are not a Filipino.

• If you do not live in the Philippines, then you are not a Filipino.

• If you are not a Filipino, then you do not live in the Philippines.

What is the if-then form of the statement: “Parallel lines never intersect.”?

• If two lines intersect, then they are parallel.

• If two lines are not parallel, then they intersect.

• If two lines intersect, then they are not parallel.

• If two lines are parallel, then they never intersect.

What is the inverse statement of “If the number is divisible by 5 and 10, then it is divisible by 2.”?

• If the number is divisible by 2, then it is divisible by 5 and 10.

• If the number is divisible by 5 and 10, then it is not divisible by 2.

• If the number is not divisible by 5 and 10, then it is not divisible by 2.

• If the number is not divisible by 2, then it is not divisible by 5 and 10.

If you don’t study, then you will fail. What is the underlined portion?

• Conclusion

• Hypothesis

• Argument

• Contrapositive

What is the if-then form of the statement: An acute angle is an angle that measure less than 90°. ?

• If it is an acute angle, then it measures less than 90°.

• If it is not an acute angle, then it measures less than 90°.

• If then an angle measure less than 90°, then it is an angle.

• Then an angle measure less than 90°, if it is an acute angle.

What is the hypothesis of the statement: “If the weather is warm, then we should eat ice cream.”?

• The weather is warm.

• We should eat ice cream.

• The weather is not warm.

• We should not eat ice cream.

What is the contrapositive of the statement: “If the school is closed, then it is Sunday.”?

• If it is Sunday, then the school is closed.

• If the school is closed, then it is not Sunday.

• If it is not Sunday, then the school is not closed.

• If the school is not closed, then it is not Sunday.

What is the inverse statement of “If you are okay, then you are not a loser.”?

• If you are not a loser, then you are okay.

• If you are not okay, then you are a loser.

• If you are not a loser, then you are not okay.

• If you are not okay, then you are not a loser.

What is the contrapositive of the statement: “If a figure is a triangle, then it has 3 sides.”?

• If a figure has 3 sides, then it is a triangle.

• If a figure is not a triangle, then it does not have 3 sides.

• If a figure does not have 3 sides, then it is not a triangle.

• If a figure is a triangle, then it does not have 3 sides.