Plz will give ! 15 ! 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.

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.