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Paladinen [302]
3 years ago
8

For the given conditional statement, determine which of the following option(s) has a truth value of true. Select all that apply

.
If a polygon is regular, then it has congruent angles and congruent sides
conditional
converse
inverse
contrapositive
Mathematics
1 answer:
Svetllana [295]3 years ago
3 0
<span>If a polygon is regular, then it has congruent angles and congruent sides

hypothesis: If a polygon is regular
conclusion: then it has congruent angles and congruent sides.

A conditional statement will have a false value if the hypothesis is true but the conclusion is false. In this case, the above conditional statement has a truth value of true.

Its converse statement also has a truth value of true. The converse statement is this: If it has congruent angles and congruent sides, then the polygon is regular. 

Its inverse statement also has a truth value of true. The inverse statement is this: If the polygon is not regular, then it does not have a congruent angles and congruent sides. 

Its contrapositive statement has a truth value of true. The contrapositive statement is this: If it does not have congruent angles and congruent sides, then the polygon is not regular. 

I used this format:
</span><span><span>Statement             <span>If <span>p</span> , then <span>q</span>.
</span></span><span>Converse              <span>If <span>q</span> , then <span>p</span>.
</span></span><span>Inverse                  <span>If not <span>p</span> , then not <span>q</span>.
</span></span><span>Contrapositive       <span>If not <span>q</span> , then not <span>p</span></span></span></span>
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