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WorksheetsGeometry Unit 1 Review
Total questions: 25
Worksheet time: 15mins
Use the Law of Detachment to write a conclusion for the statements below.
Given: If you watch Game of Thrones, then you know winter is coming.
Chappelle watches Game of Thrones.
Conclusion:
(a)
Use the Law of Syllogism to write a conclusion for the given statements.
Given: If a quadrilateral is a square, then the opposite sides are congruent.
If opposite sides are congruent, then it is a rectangle.
Conclusion:
(a)
Conditional Statement: If it is Saturday, then UT is playing football.
What is the converse statement?
If it is not Saturday, then UT is not playing football.
It is Saturday if and only if UT is playing football.
If UT is playing football, then it is Saturday.
If UT is not playing football, then it is not Saturday.
Conditional Statement: If it is Saturday, then UT is playing football.
What is the inverse statement?
If it is not Saturday, then UT is not playing football.
It is Saturday if and only if UT is playing football.
If UT is playing football, then it is Saturday.
If UT is not playing football, then it is not Saturday.
Conditional Statement: If it is Saturday, then UT is playing football.
What is the contrapositive statement?
If it is not Saturday, then UT is not playing football.
It is Saturday if and only if UT is playing football.
If UT is playing football, then it is Saturday.
If UT is not playing football, then it is not Saturday.
Conditional Statement: If it is Saturday, then UT is playing football.
What is the biconditional statement?
If it is not Saturday, then UT is not playing football.
It is Saturday if and only if UT is playing football.
If UT is playing football, then it is Saturday.
If UT is not playing football, then it is not Saturday.
Use the Law of Syllogism to write a statement that could be a conclusion based on the following information.
Given: If a polygon is a hexagon, then it has two more side than a quadrilateral.
If a polygon has two more side than a quadrilateral, then it has three more sides than a triangle.
Write your answer as a conditional statement (If, then).
(a)
What type of angles must be congruent?
Supplementary Angles
Complementary Angles
Vertical Angles
Adjacent Angles
Match the vocabulary word to the definition:
A type of reasoning that reaches conclusions based on a pattern of specific examples or events.
Inductive Reasoning
Deductive Reasoning
Law of Detachment
Law of Syllogism
Match the vocabulary word to the definition:
The process of reasoning logically from given statements or facts to a conclusion
Inductive Reasoning
Deductive Reasoning
Law of Detachment
Law of Syllogism
Match the vocabulary word to the definition:
A law of deductive reasoning that allows you to state a conclusion is true if the hypothesis of a true conditional statement is true.
Inductive Reasoning
Deductive Reasoning
Law of Detachment
Law of Syllogism
Match the vocabulary word to the definition:
A law of deductive reasoning that allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement.
Inductive Reasoning
Deductive Reasoning
Law of Detachment
Law of Syllogism
Which property says that if a = b then b = a?
Symmetric Property
Transitive Property
Reflexive Property
Substitution Property
Which property says that if x = y, and y = z then x = z?
Symmetric Property
Transitive Property
Reflexive Property
Substitution Property
Which property says that if a = b then you can replace a with b in any expression?
Symmetric Property
Transitive Property
Reflexive Property
Substitution Property
Write the biconditional statement of the given statement.
Given: A heptagon is a seven-sided polygon.
If a figure is a heptagon, then it is a seven-sided polygon.
A figure is a heptagon if and only if it is a seven-sided polygon.
If a figure is a seven-sided polygon, then it is a heptagon.
A figure is not a heptagon if and only if it is not a seven-sided polygon.
What are the 3 undefined terms in geometry?
(a)
Find the next two terms in the pattern below.
800, 400, 200, 100...
80, 40
40, 20
50, 25
90, 80
Identify the underlined portion if the conditional statement below.
If you go to school, then you are a student.
Hypothesis
Conclusion
Identify the underlined portion if the conditional statement below.
If two angles are congruent, then they are vertical angles.
Hypothesis
Conclusion
Identify the underlined portion if the conditional statement below.
If you workout, then you are strong.
Hypothesis
Conclusion
Identify the underlined portion if the conditional statement below.
If you eat healthy, then you are healthy.
Hypothesis
Conclusion
Write the contrapositive statement of the given conditional statement.
Given: If I study, then I pass the test.
If I do not pass the test, then I do not study.
If I do not study, then I do not pass the test.
I study if and only if I pass the test.
If I pass the test, then I study.
Write the inverse statement of the given conditional.
Given: If Mike did his homework, then he will pass this test.
If Mike passes this test, then he did his homework.
If Mike did not do his homework, then he will not pass this test.
Mike did his homework if and only if he will pass this test.
If Mike did not pass this test, then he did not do his homework.
Write the following statement as a true biconditional statement.
Given: Complementary angles are two angles with measures that have a sum of 90.
Two angles are complementary if and only if they have a sum of 90.
If two angles are complementary, then they have a sum of 90.
If two angles have a sum of 90, then they are complementary.
If two angles do not have a sum of 90, then they are not complementary.
