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Worksheets#2.1 Conditional Statements
Total questions: 12
Worksheet time: 3hrs 0mins
Identify the hypothesis in the statement.
You like the ocean
You are a good swimmer
If you are a good swimmer, then you like the ocean.
You are not a good swimmer.
Identify the conclusion in the statement.
You like the ocean
You are a good swimmer
If you are a good swimmer, then you like the ocean.
You are not a good swimmer.
Rewrite the statement in if-then form.
If someone is a child, then they must attend school.
If you attend school, then you must be a child.
Rewrite the statement "You are in New Jersey, if you are in Middletown." in If-Then form
If you are in New Jersey, then you are in Middletown.
If you are in Middletown, then you are in New Jersey.
Middletown is in New Jersey
Write the negation of the statement "The dog is brown".
The dog is black
The dog is not brown
The dog is not black
Some dogs are golden
Write the conditional statement
p→q
If an animal is a puppy, then it is a dog.
If an animal is not a puppy, then it is not a dog.
If an animal is a dog, then it is a puppy.
If an animal is not a dog then it is not a puppy.
Write the converse
q→p
If an animal is a puppy, then it is a dog.
If an animal is not a puppy, then it is not a dog.
If an animal is a dog, then it is a puppy.
If an animal is not a dog then it is not a puppy.
Write the inverse
∼p→∼q
If an animal is a puppy, then it is a dog.
If an animal is not a puppy, then it is not a dog.
If an animal is a dog, then it is a puppy.
If an animal is not a dog then it is not a puppy.
Write the contrapositive
∼q→∼p
If an animal is a puppy, then it is a dog.
If an animal is not a puppy, then it is not a dog.
If an animal is a dog, then it is a puppy.
If an animal is not a dog then it is not a puppy.
Is it true or false that
AD≅DB in this diagram?
True; the sides appear to be congruent
False; the sides are not marked congruent
On our paper make a truth table for
∼p→q . Which choice shows the correct final column of your table?
Rewrite this definition as a biconditional statement: Obtuse angles are angles with measures greater than 90° and less than 180°.
If an angle is obtuse then the angle measure is greater than 90° and less than 180°.
An angle is obtuse if and only if the angle measure is greater than 90° and less than 180°.
If an angle measure is greater than 90° and less than 180° , then the angle is obtuse.
An angle is not obtuse if and only if the angle measure is not greater than 90° and less than 180°.
