Question

2. The part of the conditional following "if" is called the _______________.

1 point
Hypothesis
Conclusion
Counterexample
Converse

3. What is the conclusion of the following conditional statement? If a vehicle is a car, then it has four wheels.
1 point
a vehicle is a car
it has four wheels
all vehicles have four wheels
If it has four wheels, then it's a car.

4. Write the following statement as a conditional in if-then form: An integer that ends with zero is divisible by 5.
1 point
If an integer is divisible by 5, then it ends with zero.
If an integer ends with zero, then it is divisible by 5.
All integers that are divisible by zero end in 5.
Not possible

5. Which statement is demonstrated by the Venn diagram shown below.
1 point
Captionless Image
All vegetables are carrots.
If something is a vegetable, then it is a carrot.
If a carrot is a vegetable, then it is orange.
Carrots are vegetables.

6. Which conditional below has the same truth value as its converse? (Hint: Flip the hypothesis and conclusion and determine if the statement is still true.)
1 point
If a figure is a trapezoid, then it has four sides.
If an angle has a measure of 120 degrees, then it is obtuse.
If you live in Harrisburg, then you live in Pennsylvania.
If an angle is right, then it has a measure of 90 degrees.

7. When both the conditional and converse are true, the two statements can be formed into one "if and only if" statement called a(n) _____________.
1 point
biconditional
converse
contrapositive
inverse

8. Can the following statement be written as a biconditional? If it is Saturday, then it is the weekend.
1 point
Yes; It is Saturday if and only if it is the weekend
Yes: It is the weekend if and only if it is Saturday.
Yes: Saturdays fall on the weekend.
Not possible

9. Is the statement a good definition? If not, find a counterexample. "An airplane is a vehicle that flies."
1 point

10. Write the converse of the following statement. "If you live in the capital of Georgia, then you live in Atlanta."
1 point

11. Write the TWO conditional (if-then) statements that make up the biconditional. "A parallelogram is a figure with two pairs of parallel sides."

Answer 1

2. hypothesis
3. conclusion
4. not 100% sure if it is the first or the second...
5. cant see the venn diagram
6. conditional : if an angle is right, then it has a measure of 90 degrees
converse : if an angle measures 90 degrees, then it is a right angle
both are true
7. biconditional
8. I think it is the first one
9. no...not a good definition. counterexample : a helicopter
10. converse : if u live in Atlanta, then u live in the capitol of Georgia.
11. if a figure is a parallelogram, then it has 2 pairs of parallel sides
if a figure has 2 pairs of parallel sides, then it is a parallelogram.
but I am not 100% sure on this last one..sorry


I did the best I could :)