Question

PLZ HELP!!!!!! WILL GIVE BRAINLIEST!!!!! 15 POINTS!!!

Write the converse, inverse, and contrapositive for the following conditional statement. Determine whether the contrapositive is true or false and give reason why it is true or false.



Conditional Statement: If two segments are congruent, then they have the same length.

1.) Converse:


2.) Inverse:

3.) Contrapositive:




4.) Determine if the conditional statement below is TRUE OF FALSE. If False, provide a counterexample?
Conditional Statement:
If m∠A is greater than an acute ∠B, then ∠A must be obtuse.

Answer 1

1. The converse of a statement is when you switch the hypothesis and the conclusion. So an example would be: If they have the same length, then two segments are congruent.

2. The inverse is the opposite. It says if a is not, then b is not. For example: If two segments are not congruent, then they do not have  the same length.

3. A contrapositive is like a combination of inverse and converse. You switch the hypothesis and the conclusion, and make them both negative. For example: If they do not have the same length, then two segments are not congruent.


4. The statement is false because it could be either right angle or obtuse angle.