Geom 20-21 U3: Geometric Reasoning Test Given the following biconditional statement:
“A quadrilateral is a square if and only if it has four right
angles."
Part A
Which of the following quadrilaterals provide a
counterexample for why the given biconditional statement is
false?
Part B
Rewrite the biconditional statement to make it valid.
в І u
0 / 10000 Word Limit
iii

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.) True
b.) False, because the shape with four sides is a quadrilateral. For it to be square, the four sides must be equal.
c.) True
d.) 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.