contestada

PLZ HELP If a polygon is a quadrilateral, then it is a square.

1. Identify the hypothesis of the conditional statement.

2. Identify the conclusion of the conditional statement.

3. Is the conditional statement true? If it is false, provide a counterexample.

4. What is the inverse of the conditional statement.

5. What is the converse of the conditional statement.

6. Write the biconditional statement. If a biconditional statement cannot be written, explain why it can’t be.

Respuesta :

Answer:

1. The hypothesis of the conditional statement  = If a polygon is a quadrilateral

2. The conclusion of the conditional statement = It is a square

3. The conditional statement is false

The counterexample is a rhombus is a quadrilateral, but it is not a square

4. The inverse of the conditional statement = If a polygon is not a quadrilateral, then it is not a square

5. The converse of the conditional statement is; If a polygon is a square, then it is a quadrilateral

6. The biconditional statement is; A polygon is a quadrilateral if and only if it is a square

Step-by-step explanation:

A conditional statement is of the following form;

                                 [tex]{}[/tex]                            In logical form

If M, then N                   [tex]{}[/tex]                         M → N

1) The hypothesis = M

2) The conclusion = N

3) A counterexample is a statement that is in line with the conditions of the statement but clearly does not lead to the conditions of the statement

4) The inverse of a conditional statement is; if not M then not N which is written mathematically as ~M → ~N

5) The converse of a conditional statement is; if N then N which is written mathematically as  N → M      

6) The biconditional statement is M if and only if N The inverse of a conditional statement is; if not M then not N which is written mathematically as M ↔ N

Otras preguntas