112k views
5 votes
Find the contrapositive and determine if its true or false

Find the contrapositive and determine if its true or false-example-1
User Damusnet
by
8.4k points

1 Answer

2 votes

Answer:

Contrapositive: If the angle is a right angle then it is not obtuse. True

Step-by-step explanation:

The statement can be rewritten as:

If the angle is obtuse then it is not a right angle.

So, the initial part of the statement is the angle is obtuse and the consequence is it is not a right angle.

Then, the contrapositive is the negation of the consequence then the negation of the initial part. So, the contrapositive is:

If the angle is a right angle then it is not obtuse.

Additionally, the statement and its contrapositive are equivalent, so when the statement is true, the contrapositive is also true.

Therefore, the answer is:

Contrapositive: If the angle is a right angle then it is not obtuse. True

User Monish Kumar
by
7.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories