Answer:
A conditional statement is something like:
If P, then Q.
P = hypothesis.
Q = conclusion.
In this case, we have:
"If a polygon is a quadrilateral, then it is a square".
1) The hypothesis is: a polygon is a quadrilateral
2) The conclusion is: it is a square
3) It is not true, because there are other quadrilaterals that are not squares, for example, the rectangles.
4) The inverse of a conditional statement is (using the same notation than above)
If not P, then not Q.
In this case is:
"If a polygon is not a quadrilateral, then it is not a square"
(this is true)
5) A converse statement is:
If Q, then P
In this case is:
"if it is a square, then the polygon is a quadrilateral"
(Also true)
6) A biconditional statement is written as:
P if and only if Q.
In this case is:
A polygon is a quadrilateral if and only if it is a square.
(This is false)
