WorksheetsConditional Statements and Symbolic Representations
Total questions: 10
Worksheet time: 10mins
What is this? If Emily is late to class, then she will be marked tardy.
What is this? If Jenny does buy a keyboard, then she will not buy a guitar.
Q. Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.
If I do not have a Siberian Husky, then I do not have a dog.
If I have a dog, then I have a Siberian Husky.
If I do not have a dog, then I do not have a Siberian Husky.
If I do not have a Siberian Husky, then I have a dog.
Consider the following statements.
p: two lines are parallel
q: corresponding angles are congruent
Which of the following is the symbolic representation of the statement,
If two lines are not parallel, then corresponding angles are not congruent.
∼p→∼q
∼q→∼p
q→p
p→q
Let p represent “x² ≠ 64.”
Let q represent “x is not a rational number.” Which is a representation of the statement below?
If x is a rational number, then x² = 64.
∼p→∼q
∼p→q
p→∼q
∼q→∼p
Consider the following statements represented by pand q:
p: The sum of two angles is 180°.
q: The two angles are supplements.
Which of the following is a symbolic representation of the statement
"If two angles are not supplements, then the sum of the two angles is not 180°."
q→∼p
p→∼q
∼q→∼p
∼p→∼q
Let s represent “eat your vegetables,” let r represent “eat your dessert,” and t represent “you can go to the party.” Which statement represents ∼r→t?
If you eat your vegetables, then you can go to the party.
If you eat your dessert, then you can to the party.
If you do not eat your vegetables, then you cannot go the party.
If you do not eat your dessert, then you can go to the party.
s: sidewalks are wet
Write "If it is not raining then the sidewalks are not wet in symbolic form.
