Question

A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

Answer 1

4. What is the conclusion of the following conditional?
A number is divisible by 3 if the sum of the digits of the number is divisible by 3.
(1 point)
The number is odd.
The sum of the digits of the number is divisible by 3.
If the sum of the digits of a number is divisible by 3, then the number is divisible by 3.
The number is divisible by 3.

5. Another name for an if-then statement is a ____.
(1 point)
conclusion
hypothesis
conditional
conjecture

6. Every conditional has two parts. The part following if is the ____ . (1 point)
hypothesis
conclusion
inverse
converse

7. Write this statement as a conditional in if-then form:
All triangles have three sides.
(1 point)

If a triangle has three sides, then all triangles have three sides.
If a figure has three sides, then it is not a triangle.
If a figure is a triangle, then all triangles have three sides.
If a figure is a triangle, then it has three sides

Answer 2

5. B
6. D?
7. D

Answer 3

9. Which conditional has the same truth value as its converse? (1 point)
If x = 7, then |x| = 7.
If a figure is a square, then it has four sides.
If x – 17 = 4, then x = 21.
If an angle has a measure of 80°, then it is acute.
10. When a conditional and its converse are true, you can combine them as a true ____. (1 point)
counterexample
biconditional
unconditional
hypothesis
11. Write the two conditional statements that make up the following biconditional.
I drink juice if (and only if) it is breakfast time. (1 point)
I drink juice if (and only if) it is breakfast time.
It is breakfast time if (and only if) I drink juice.
If I drink juice, then it is breakfast time.
If it is breakfast time, then I drink juice.
If I drink juice, then it is breakfast time.
I drink juice only if it is breakfast time.
I drink juice.
It is breakfast time.

Answer 4

@Kristen17

Answer 5

9. B
10. A?
11. Not sure about this one