Activity 3
Directions: Formulate five sentences in if-then form. Then write its
converse, inverse and contrapositive form.
Directions: Formulate five sentences in if-then form. Then write its
converse, inverse and contrapositive form.
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Answer:
1. If-then form : If today is Wednesday, then yesterday was Tuesday.
Converse : If yesterday was Tuesday, then today is Wednesday.
Inverse : If today is not Wednesday, then yesterday was not Tuesday.
Contrapositive : If yesterday was not Tuesday, then today is not Wednesday.
2. If-then form : If a population consists of 50% men then 50% of the population must be women.
Converse : If a population consists of 50% women then 50% of the population must be men
Inverse : If a population do not consist of 50% men then the population do not consist of 50% women.
Contrapositive : If a population do not consist of 50% women then the population do not consist of 50% men.
3. If-then form : If it rained last night, then the sidewalk is wet.
Converse : If the sidewalk is wet, then it rained last night.
Inverse : If it did not rain last night, then the sidewalk is not wet.
Contrapositive : If the sidewalk is not wet, then it did not rain last night.
4. If-then form : If the sun rises, then it's in the East.
Converse : If it's in the East, then the sun is rising.
Inverse : If the sun is not rising, then it's not in the East.
Contrapositive : If it's not in the East, then the sun isn't rising.
5. If-then form : If a figure is a square, then it is a rhombus.
Converse : If a figure is a rhombus, then it is a square.
Inverse : If a figure is not a square, then it is not a rhombus.
Contrapositive : If a figure is not a rhombus, then it is not a square.