9/26/24, 11:25 AM Worksheet | Quizizz
Worksheets Name
Geometry - Logic and Reasoning Review
Class
Total questions: 21
Worksheet time: 1hrs 3mins
Date
Instructor name: Shweta Dhodhi
1. Underline the hypothesis and italicize the conclusion in each statement.
a) If your dog eats Purina, then he’ll stay happy b) If your dog eats Purina, then he’ll stay happy
and healthy. and healthy.
c) If your dog eats Purina, then he’ll stay happy d) If your dog eats Purina, then he’ll stay happy
and healthy. and healthy.
2. Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the converse of this statement?
a) If a polygon is not a quadrilateral, then it is not a b) If a polygon is a trapezoid, then it is a
trapezoid. quadrilateral.
c) A rectangle is also a quadrilateral. d) If a polygon is not a trapezoid, then it is not a
quadrilateral.
3. Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the inverse of this statement?
a) If the polygon is not a quadrilateral, then it is not b) A rectangle is also a quadrilateral.
a trapezoid.
c) If the polygon is not a trapezoid, then it is not a d) If the polygon is a trapezoid, then it is a
quadrilateral. quadrilateral.
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 1/7
9/26/24, 11:25 AM Worksheet | Quizizz
4. Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is the contrapositive of this statement?
a) A rectangle is also a quadrilateral. b) If a polygon is not a quadrilateral, then it is not a
trapezoid.
c) If a polygon is not a trapezoid, then it is not a d) If a polygon is a trapezoid, then it is a
quadrilateral. quadrilateral.
5. Refer to the following statement: "If a polygon is a quadrilateral, then it is a trapezoid."
What is a counterexample of this statement?
a) If a polygon is not a trapezoid, then it is not a b) If a polygon is not a quadrilateral, then it is not a
quadrilateral. trapezoid.
c) If a polygon is a trapezoid, then it is a d) A rectangle is also a quadrilateral.
quadrilateral.
6. The statement "an angle is a right angle if and only if its measure is 90o" is an example of what type of
statement?
a) Biconditional b) Conjecture
c) Conditional
7. Reasoning based on facts, definitions, accepted properties, and the laws of logic is called
____________ reasoning.
a) Inductive b) Deductive
8. Reasoning based on specific examples and patterns used to form conjectures is called
______________ reasoning.
a) Deductive b) Inductive
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 2/7
9/26/24, 11:25 AM Worksheet | Quizizz
9. Using the Law of Detachment, draw a conclusion based on the statements given:
If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.
a) Sarah will have a long flight. b) Sarah will get stuck with a middle seat on the
plane.
c) Sarah will get stuck in the security line. d) Sarah will need to bring a neck pillow and
headphones.
10. Using the Law of Syllogism, write a new conditional statement that follows from the pair of true
statements.
If you study, then you will pass the test. If you pass the test, then you will pass the class.
a) If you pass the class, then you will pass the b) If you study, then you will pass the test.
test.
c) If you pass the test, then you should study. d) If you study, then you will pass the class.
11. All chickens that we have seen have been brown; so, all chickens are brown.
a) Deductive b) Inductive
12. All bears are mammals, all mammals have kidneys; therefore all bears have kidneys.
a) Inductive b) Deductive
13. Using deductive reasoning, which of the following completes the statement to form a valid conclusion?
If it is snowing heavily, then school will be canceled.
If school is canceled, the big test will not be given today.
It is snowing heavily, then...
a) Look out for the snowplows while driving to b) You should call the school to see if school is
school. canceled.
c) The roads will be hard to drive on. d) The big test will not be given today.
14. If I go to the movie, then I’ll eat popcorn.
If I eat popcorn, then I’ll enjoy the movie.
a) No valid conclusion possible b) Yes, using the Law of Syllogism
c) Yes, using the Law of Detachment
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 3/7
9/26/24, 11:25 AM Worksheet | Quizizz
15. If I miss my bus, then I’ll be late for school.
I miss my bus.
a) Yes, using the Law of Syllogism b) Yes, using the Law of Detachment
c) No valid conclusion possible
16. If this wind keeps up, then we will lose some trees.
We lose some trees.
a) Yes, using the Law of Syllogism b) Yes, using the Law of Detachment
c) No valid conclusion possible
17. If a person is a librarian, then they read books.
If a person is a friend of Dana’s, then they read books.
a) Yes, using the Law of Detachment b) No valid conclusion possible
c) Yes, using the Law of Syllogism
18. What are the missing numbers in this pattern?
12, 15, ___, 21, ____, 27
a) 18,23 b) 17, 25
c) 18, 24 d) 17, 24
19.
a) 20 b) 12
c) 1 d) 15
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 4/7
9/26/24, 11:25 AM Worksheet | Quizizz
20.
Where would the next red square be?
a) top left b) bottom left
c) bottom right d) top right
21. Used to prove that a conjecture is false.
a) Conjecture b) Counterexample
c) Concluding statement d) Inductive Reasoning
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 5/7
9/26/24, 11:25 AM Worksheet | Quizizz
Answer Keys
1. a) If your dog eats Purina, 2. b) If a polygon is a trapezoid, 3. a) If the polygon is not a
then he’ll stay happy and then it is a quadrilateral. quadrilateral, then it is not
healthy. a trapezoid.
4. c) If a polygon is not a 5. d) A rectangle is also a 6. a) Biconditional
trapezoid, then it is not a quadrilateral.
quadrilateral.
7. b) Deductive 8. b) Inductive 9. a) Sarah will have a long
flight.
10. d) If you study, then you will 11. b) Inductive 12. b) Deductive
pass the class.
13. d) The big test will not be 14. b) Yes, using the Law of 15. b) Yes, using the Law of
given today. Syllogism Detachment
16. c) No valid conclusion 17. b) No valid conclusion 18. c) 18, 24
possible possible
19. d) 15 20. a) top left 21. b) Counterexample
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 6/7
9/26/24, 11:25 AM Worksheet | Quizizz
https://quizizz.com/print/quiz/66f58a2f1e3c405243a75550 7/7
