Answer:
1 &2. A conditional statement is defined by p→ q, which is an if-then statement where p is a hypothesis and q is a conclusion
In the statement : a polygon is a quadrilateral, it is a square.
p q
The hypothesis is a polygon is a quadrilateral.
The conclusion is it is a square.
3. The conditional statement is False.
This is because, if a polygon is a quadrilateral then it can be a square, rhombus, rectangle, kite, trapezium or a parallelogram.
4.An inverse of a conditional statement is one that is negating both the hypothesis and conclusion of a conditional statement. In this case;
If a polygon is not a quadrilateral, then it is not a square.
5.In writing a converse of a conditional statement, you interchange the hypothesis and the conclusion. In the case of;
If a polygon is a quadrilateral, then it is a square---------it will be
if it is a square, then the polygon is a quadrilateral.
6.In writing a biconditional statement you use if and only if form to combine a conditional statement and its converse.
The conditional statement is:
If a polygon is a quadrilateral, then it is a square
The converse is: If it is a square, then the polygon is a quadrilateral.
The biconditional statement will be ;
A polygon is a square if and only if the polygon is a quadrilateral.
A biconditional is true if and only if the conditions are true.Since the conditional statement is false,then the biconditional statement is also false.
Step-by-step explanation:
