Conditional, Converse, Inverse, and Contrapositive Statements
A conditional statement is written in "if - then" form. "If" and "Then" are the beginning of the sentences. An inverse statement is the opposite of a conditional statement. A converse statement is a statement where hypothesis and conclusion of a conditional statement were interchanged. A contrapositive statement is the opposite of the inverse statement. Consider the examples below.
Learning Task 3:
Answers:
1. Conditional: If you eat vegetables, then it is good for your health.
Converse: If it is good for your health, then you must eat vegetables.
Inverse: If you do not eat vegetables, then it is not good for your
health.
Contrapositive: If it is not good for your health, then you do not eat
vegetables.
2. Conditional: If 3x + 8 = 14, then x = 2.
Converse: If x = 2, then 3x + 8 = 14.
Inverse: If 3x + 8 ≠ 14, then x ≠ 2.
Contrapositive: If x ≠ 2, then 3x + 8 ≠ 14.
3. Conditional: If the triangle is right, then it has a 90° angle.
Converse: If it has a 90° angle, then the triangle is right.
Inverse: If the triangle is not right, then it has no 90° angle.
Contrapositive: If it has no 90° angle, then the triangle is not right.
4. Conditional: If it is an eagle, then it is a bird.
Converse: If it is a bird, then is is an eagle.
Inverse: If it is not an eagle, then it is not a bird.
Contrapositive: If it is not a bird, then it is not an eagle.
5. Conditional: If is a whale, then it is a mammal.
Converse: If it is a mammal, then it is a whale.
Inverse: If it is not a whale, then it is not a mammal.
Contrapositive: If it is not a mammal, then it is not a whale.
6. Conditional: If two circles have equal diameters, then they are
congruent.
Converse: If they are congruent, then the two circles have equal
diameters.
Inverse: If two circles do not have equal diameters, then they are
not congruent.
Contrapositive: If they are not congruent, then the two circles do not
have equal diameters.
7. Conditional: If an angle measures between 90 and 180 degrees, then
it is an obtuse angle.
Converse: If it is an obtuse angle, then the angle measures between
90 and 180 degrees.
Inverse: If an angle do not measure between 90 and 180 degrees,
then it is not an obtuse angle.
Contrapositive: If it is not an obtuse angle, then the angle do not
measure between 90 and 180 degrees.
8. Conditional: If two planes have no common point, then they are
parallel.
Converse: If they are parallel, then the two planes have no common
point.
Inverse: If two planes have a common point, then they are not
parallel.
Contrapositive: If they are not parallel, then the two planes do not have a
common point.
9. Conditional: If is is a carrot, then it is rich in vitamin A.
Converse: If is rich in vitamin A, then it is a carrot.
Inverse: If it is not a carrot, then it is not rich in vitamin A.
Contrapositive: If it is not rich in vitamin A, then it is not a carrot.
10. Conditional: If all are reptiles, then they have scales.
Converse: If they have scales, then they are all reptiles.
Inverse: If all are not reptiles, then they do not have scales.
Contrapositive: If they do not have scales, then all are not reptiles.
What is a conditional statement: https://brainly.ph/question/10397433
What is an inverse statement: https://brainly.ph/question/11030860
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