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To answer this question, we need a strong understanding of what "contrapositive" means:
The contrapositive of a conditional statement flips the hypothesis and conclusion, and makes both negative.
Here is an example:
Conditional Statement: If I am sick, then I stay home from school.
Hypothesis: I am sick, Conclusion: I stay home from school
Contrapositive: If I do not stay home from school, I am not sick.
What would be the contrapositive in our conditional statement?
Conditional Statement: If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90°, then the angle is not a right angle.
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing.
The contrapositive of a conditional statement flips the hypothesis and conclusion, and makes both negative.
Here is an example:
Conditional Statement: If I am sick, then I stay home from school.
Hypothesis: I am sick, Conclusion: I stay home from school
Contrapositive: If I do not stay home from school, I am not sick.
What would be the contrapositive in our conditional statement?
Conditional Statement: If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90°, then the angle is not a right angle.
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing.
Answer:
What would be the contrapositive in our conditional statement?
Conditional Statement: If an angle is a right angle, then the angle measures 90°
Contrapositive: If the angle does not measure 90°, then the angle is not a right angle.
In this case, both the conditional statement and the contrapositive are true. We know this because a 90° angle and a right angle are the same thing.
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