WorksheetsGeometry Unit 2 Review
Total questions: 49
Worksheet time: 49mins
"The burglar alarm will go off if either the door or the window or both are opened". This is an example of which type of Logic?
AND
OR
NOT
NOR
What type of logic is this table showing:
AND
OR
NOR
XOR
This symbol, ∧, means?
and
or
not
if, then
This symbol, ∨, means?
and
or
not
if, then
This symbol,→ , means?
and
or
not
if, then
Let p represent: Brent works this summer.
Let q represent: Brent takes a vacation.
What is the symbolic representation of this statement?
Therefore, Brent does not work this summer.
∴~p
∴~q
~p
~q
If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.
Which of the following is a premise in the argument above?
If Brent works this summer, he will have extra money
Therefore, if Brent works this summer, he can go on vacation
Brent works this summer
Brent can go on vacation
If Brent works this summer, he will have extra money. If Brent has extra money, then he can go on vacation. Therefore if Brent works this summer, he can go on vacation.
Which of the following is the conclusion of the argument above?
If Brent works this summer, he will have extra money
Therefore, if Brent works this summer, he can go on vacation
Brent works this summer
Brent can go on vacation
Is the argument represented in this truth table valid or invalid?
Valid
Invalid
Is the argument represented in this truth table valid or invalid?
Valid
Invalid
How many senior boys play football but do not wrestle?
26
8
104
16
How many senior boys play football or wrestle?
26
44
28
104
How many students do not like either Soccer or Golf ?
63
36
47
20
How many students only like Soccer ?
11
29
18
45
How many students like both Soccer and Hockey but not Golf ?
12
41
43
10
Which of the following combinations of truth values would be correct for this truth table?
T F T F
T T T F
F T F T
T F F T
Which of the following set of values would correctly complete this table?
T F F F
T T F F
T T T F
F T F T
Given: If an animal is a dog, then they like biscuits.
Sammy is a dog.
Conclusion: Sammy likes biscuits.
Statement 1: If I study for one hour each day, then I will score well on the exam
Statement 2: I will score well on the exam
If you go fishing, then you will need to bring your fishing rod.
You go fishing.
Statement 1: If you exercise regularly, then you have a healthy body
Statement 2: If you have a healthy body, then you have more energy
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...
q→r
∴p→r
Which law is modeled?
p
∴q
Which law is modeled?
Write a definition of congruent angles as a biconditional statement.
Angles are congruent if they have the same size and shape.
If angles are congruent, then they have the same size and shape.
Congruent angles are the same.
Angles are congruent if and only if they have the same size and shape.
Select the conditional statement(s) of the biconditional statement.
Points are collinear if and only if they all lie in one line.
If collinear points lie in one line, then they are a line.
If points all lie in one line, then they are collinear.
Collinear points lie in one line.
If points are collinear, then they all lie in one line.
Select the counterexample to the conditional statement:
If n2 = 5n , then n=5 .
n=−5
n=0
n=5
Determine if the statement is true or false. Then write the converse.
If Jake lives in Ramsey, then he lives in New Jersey
True; If Jake lives in Ramsey, then he lives in New Jersey.
True; If Jake lives in New Jersey, then he lives in Ramsey.
False; If Jake lives in Ramsey, then he lives in New Jersey.
False; If Jake lives in New Jersey, then he lives in Ramsey.
Given: m∠1 = 63
m∠1 + m∠2 = 90
Prove: 63 + m∠2 = 90
then m∠A + m∠B = 90°.
If ∠A ≅ ∠B, then we know m∠A = m∠B because...
Given
Definition of Congruence
Congruent means equal
Transitive Property
If B is the midpoint of segment AC, then AB = BC.
Definition of Congruent Segments
Definition of Midpoint
Vertical Angles Theorem
Definition of Angle Bisector
What is the justification?
Definition of congruence
Reflexive Property of Congruence
Segment Addition Postulate
Definition of Midpoint
What is the justification?
Reflexive Property of Congruence
Vertical Angles Theorem
Supplement Theorem
Complement Theorem
What is the justification?
Segment Addition Postulate
Definition of Midpoint
Addition Property of Equality
Complement Theorem
What is the justification?
Definition of Supplementary Angles
Vertical Angles Theorem
Definition of an Angle Bisector
Angle Addition Postulate
What is the justification?
Congruent Supplements Theorem
Vertical Angles Theorem
Definition of Supplementary Angles
Definition of Complementary Angles
