Question

Determine the truth values for all four statements If x=3,then x=I3I

Answer 1

4a.

Inverse: If two segments are not of same length, then they are not congruent. TRUE

Converse: If two segments are congruent, they have the same length. TRUE

Contrapositive: If two segments are not congruent, then they do not have the same length. TRUE

4b.

Inv: if x not= 3, then |x| not= 3. FALSE. Counterexample: x=-3

Conv.: if |x|=3 then x=3. FALSE. Ex: x=-3

Contr: if |x| not=3 then x not= 3.   TRUE