Converse: If it is 12:00 noon, then the sun is shining. Inverse: If the sun is not shining, then it is not 12:00 noon. Contrapositive: If it is not 12:00 noon, then the sun is not shining.
2.) If the number is divisible by 3, then the number is odd.
Converse: If the number is odd, then the number is divisible by 3. Inverse: If the number is not divisible by 3, then the number is not odd. Contrapositive: If the number is not odd, then the number is not divisible by 3.
3.) If an angle measures 100°, then it is obtuse.
Converse: If an angle is obtuse, then it measures 100°. Inverse: If an angle does not measure 100°, then it is not obtuse. Contrapositive: If an angle is not obtuse, then it does not measure 100°.
4.) If water is frozen, then its temperature is below 0°C.
Converse: If the water's temperature is below 0°C, then it is frozen. Inverse: If water is not frozen, then its temperature is not below 0°C. Contrapositive: If the water's temperature is not below 0°C, then it is not frozen.
5.) If a point is a midpoint, then it divides a segment into two congruent segments.
Converse: If a point divides a segment into two congruent segments, then it is a midpoint. Inverse: If a point is not a midpoint, then it does not divide a segment into two congruent segments. Contrapositive: If a point does not divide a segment into two congruent segments, then it is not a midpoint.
Answers & Comments
Answers:
1.) If the sun is shining, then it is 12:00 noon.
Converse: If it is 12:00 noon, then the sun is shining.
Inverse: If the sun is not shining, then it is not 12:00 noon.
Contrapositive: If it is not 12:00 noon, then the sun is not shining.
2.) If the number is divisible by 3, then the number is odd.
Converse: If the number is odd, then the number is divisible by 3.
Inverse: If the number is not divisible by 3, then the number is not odd.
Contrapositive: If the number is not odd, then the number is not divisible by 3.
3.) If an angle measures 100°, then it is obtuse.
Converse: If an angle is obtuse, then it measures 100°.
Inverse: If an angle does not measure 100°, then it is not obtuse.
Contrapositive: If an angle is not obtuse, then it does not measure 100°.
4.) If water is frozen, then its temperature is below 0°C.
Converse: If the water's temperature is below 0°C, then it is frozen.
Inverse: If water is not frozen, then its temperature is not below 0°C.
Contrapositive: If the water's temperature is not below 0°C, then it is not frozen.
5.) If a point is a midpoint, then it divides a segment into two congruent segments.
Converse: If a point divides a segment into two congruent segments, then it is a midpoint.
Inverse: If a point is not a midpoint, then it does not divide a segment into two congruent segments.
Contrapositive: If a point does not divide a segment into two congruent segments, then it is not a midpoint.
- CLUES YOU NEED TO KNOW: -
Example Format
#.) If p, then q.
Converse: If q, then p.
Inverse: If not p, then not q.
Contrapositive: If not q, then not p.