WorksheetsLogic/Basics Review Quiz
Total questions: 10
Worksheet time: 50mins
Name
Class
Date
1.
Contrapositive:
If it is raining outside, then Patty will not go to the store.
Given the contrapositive, what is the original statement?
If it is raining outside, then Patty will not go to the store.
Given the contrapositive, what is the original statement?
a)
If Patty goes to the store, then it is not raining outside.
b)
If it is not raining outside, then Patty will not go to the store.
c)
If Patty does not go to the store, then it is raining outside.
d)
If it is not raining outside, then Patty will go to the store.
2.
Assume the following statements are true.
If Max goes to work, then he will go shopping.
If Max goes shopping, then he will buy a baseball glove.
Using the law of syllogism, what is a valid conclusion?
If Max goes to work, then he will go shopping.
If Max goes shopping, then he will buy a baseball glove.
Using the law of syllogism, what is a valid conclusion?
a)
If Max goes shopping, then he will buy a baseball glove.
b)
If Max did not buy a baseball glove, then Max went to work.
c)
If Max goes to work, then he will buy a baseball glove.
d)
If Max buys a baseball glove, then he went to work.
3.
In the Venn diagram S represents the set of all sports, B represents the set of all basketball players, and P represents the set of point guards.
Based on the diagram, which choice is a valid conclusion?
Based on the diagram, which choice is a valid conclusion?
a)
Some point guards are not basketball players.
b)
All basketball players play a sport.
c)
No point guards play sports.
d)
All basketball players are point guards.
4.
A line segment has the endpoints (-7, -4) and (9, 8). What are the coordinates of the midpoint of this line segment?
a)
(2, 4)
b)
(1, 2)
c)
(-2, -4)
d)
(-1, 2)
5.
Given: S (-1, 8) and T (7, -9)
What is the length of segment ST ?
What is the length of segment ST ?
a)
√23
b)
5
c)
5√13
d)
√353
6.
A line segment has an endpoint at (4, 6).
If the midpoint of the line segment is (1, 5),
What are the coordinates of the point at the other end of the line segment?
If the midpoint of the line segment is (1, 5),
What are the coordinates of the point at the other end of the line segment?
a)
(5, 11)
b)
(-2, 4)
c)
(3, 1)
d)
(7, 7)
7.
Given the figure and
m∠JIL = 20x - 10,
m∠LIK = 8x - 20, and
m∠JIK = 140 - 6x,
find m∠JIK.
m∠JIL = 20x - 10,
m∠LIK = 8x - 20, and
m∠JIK = 140 - 6x,
find m∠JIK.
a)
5
b)
90
c)
110
d)
20
8.
In the given figure,
∠YOZ and ∠WOY
are complementary.
m∠WOY = 19x - 26 and
m∠YOZ = 10x.
Find m∠WOY.
∠YOZ and ∠WOY
are complementary.
m∠WOY = 19x - 26 and
m∠YOZ = 10x.
Find m∠WOY.
a)
90
b)
4
c)
40
d)
50
9.
How is statement B related to statement A?
Statement A:
If two angles are not vertical, then the angles are not congruent.
Statement B:
If two angles are vertical, then the angles are congruent.
Statement A:
If two angles are not vertical, then the angles are not congruent.
Statement B:
If two angles are vertical, then the angles are congruent.
a)
Conditional
b)
Contrapositive
c)
Inverse
d)
Converse
10.
Let p = A polygon is a triangle.
Let q = It has three sides.
Argument: If a polygon is a triangle, then it has three sides.
Which of the following is the symbolic representation of the given argument?
Let q = It has three sides.
Argument: If a polygon is a triangle, then it has three sides.
Which of the following is the symbolic representation of the given argument?
a)
p → q
b)
~p → ~q
c)
q → p
d)
~q → ~p
100 %
