Write this statement as a conditional in if-then form:
All triangles have three sides.
(1 point)
Responses
If a triangle has three sides, then all triangles have three sides.
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 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 all triangles have three sides.
If a figure is a triangle, then it has three sides.
If a figure is a triangle, then it has three sides.
Which conditional has the same truth value as its converse?
(1 point)
Responses
If x = 7, then |x| = 7.
If x = 7, then | x | = 7.
If a figure is a square, then it has four sides.
If a figure is a square, then it has four sides.
If x – 17 = 4, then x = 21.
If x – 17 = 4, then x = 21.
If an angle has a measure of 80°, then it is acute.
If an angle has a measure of 80°, then it is acute.
Write the two conditional statements that make up the following biconditional. I drink juice if (and only if) it is breakfast time.
(1 point)
Responses
I drink juice if (and only if) it is breakfast time.
It is breakfast time if (and only if) I drink juice.
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. 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.
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.
If I drink juice, then it is breakfast time. If it is breakfast time, then I drink juice.
Is the following definition of dog reversible? If yes, write it as a true biconditional.
A dog is a mammal.
(1 point)
Responses
The reverse is false.
The reverse is false.
The reverse is true. An animal is a dog if (and only if) it is a mammal.
The reverse is true. An animal is a dog if (and only if) it is a mammal.
The reverse is true. An animal is a mammal if (and only if) it is a dog.
The reverse is true. An animal is a mammal if (and only if) it is a dog.
The reverse is true. If an animal is a dog, then it is a mammal.
The reverse is true. If an animal is a dog, then it is a mammal.
The reverse is true. An animal is a mammal if (and only if) it is a dog.
Complete the following truth table. Is the shaded box True or False?
p q pright arrowq p or q
F F
F T
T T
T F (1 point)
Responses
true
true
false