Solved:
Answered by AI, Verified by Human Experts
1) Select the hypothesis of the conditional statement.
1) Select the hypothesis of the conditional statement.If you walk to the movie theater, then you will arrive late.
2) Use the conditional statement to answer the question.
If you live in San Diego, then you live in California.
What is the converse of the statement?
If you live in San Diego, then you do not live in California.
If you live in California, then you live in San Diego.
If you do not live in San Diego, then you do not live in California.
If you do not live in California, then you do not live in San Diego.
3) Use the conditional statement to answer the question.
If a whole number is even, then the number is divisible by 4.
Are the statement and its converse true?
Both the statement and its converse are false.
The statement is false, but the converse is true.
The statement is true, but the converse is false.
Both the statement and its converse are true.
4) Use the conditional statement to answer the question.
If today is Monday, then yesterday was Sunday.
Can the statement be written as a biconditional statement and why?
No, because the statement is false, but its converse is true
No, because the statement is true, but its converse is false
Yes, because the statement and its converse are both true
No, because the statement and its converse are both false
5)Is each biconditional statement true or false?
Select True or False for each statement.
True False
A polygon is a triangle if and only if the polygon has exactly three sides.
A polygon is a square if and only if the polygon has exactly four sides.
A polygon has exactly five sides if and only if the polygon is a pentagon.
A polygon has exactly four sides if and only if the polygon is a rectangle.
1. In a conditional statement, there are two parts: the hypothesis and the conclusion. In the given statement, the hypothesis is:If you walk to the movie theater.2. The converse of the statement is when you interchange the hypothesis and conclusion. In this case, the converse of the given statement is:If you live in California, then you live in San Diego.3. The given statement is correct, because if that were true, 2 should be divisible by 4. However, it is not. However, the converse statement is true, because if the number is divisible by 4, it is given that the number is even. Thus, the answer is:The statement is false, but the converse is true.4. The statement can be biconditional, if both the original and the converse statements are true. However, only the original statement is true. Thus, the answer is:No, because the statement is true, but its converse is false.5. The answers are:a.) Trueb.) False, because the shape with four sides is a quadrilateral. For it to be square, the four sides must be equal.c.) Trued.) False, a shape with four sides is a quadrilateral and not exactly a reactangle. It would only be a rectangle if two sets of sides are equal....