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m248 Unit 2 Multiple Choice QUIZ

Total questions: 15

Worksheet time: 9mins

Name
Class
Date
1.

Which of the following is an example of a conditional statement?

a)

If I studied for this test, then I will get an A

b)

I studied for this test

c)

I will get an A

d)

I hope I get an A

2.

Which is a counterexample that shows that the following conjecture is false;

“If are supplementary, then one of the angles is obtuse”

a)

m<1=45o and m<2=45o m<1=45^o\ \ and\ m<2=45^o\

b)

m<1=53o and m<2=127o m<1=53^o\ \ and\ m<2=127^o\

c)

m<1=90o and m<2=90o m<1=90^o\ \ and\ m<2=90^o\

d)

m<1=100o and m<2=80o m<1=100^o\ \ and\ m<2=80^o\

3.

Given: Jennifer sings alto in the school choir. The choir has four voice parts. The female voice parts are soprano and alto. The male voice parts are tenor and bass. What conclusion can be drawn?

a)

Jennifer sings a female voice part in the choir.

b)

There are no basses in the choir.

4.

Given the conditional statement “If it is January, then it is winter in the United States,” which is true?

a)

the converse of the conditional

b)

the inverse of the conditional

c)

the contrapositive of the conditional

5.

What is the inverse of the conditional statement

“If a number is divisible by 6, then it is divisible by 3”?

a)

If a number is divisible by 3, then it is divisible by 6.

b)

If a number is not divisible by 6, then it is not divisible by 3.

c)

If a number is not divisible by 3, then it is not divisible by 6.

d)

If a number is not divisible by 6, then it is divisible by 3.

6.

Given: If one angle of a triangle is a right angle, then the other two angles are both acute. A triangle has a 45˚ angle. What conclusion can be drawn?

a)

One of the other two angles is 90˚.

b)

One of the other two angles is obtuse.

c)

All three angles are acute.

d)

No conclusion can be drawn.

7.

Given: If two angles are complementary, then both angles measure less than 90˚. Angles that measure less than 90˚ are acute. Angle 1 and angle 2 are complementary. What conclusion can be drawn?

a)

Only angle 1 is acute

b)

Only angle 2 is acute

c)

Both angles are acute

d)

Neither angle is acute

8.

Suppose that

 m<1=m<A, and m<A=34om<1=m<A,\ and\ m<A=34^o  
What can you conclude by using the Transitive Property?

a)

 m<A = 34om<A\ =\ 34^o  

b)

 m<A = m<Am<A\ =\ m<A  

c)

 m<A= m<1m<A=\ m<1  

d)

 m<1 = 34om<1\ =\ 34^o  

9.

Find the hypothesis of the following conditional statement:

“If angles are vertical angles, then they are congruent.”

a)

angles are congruent

b)

angles are vertical angles

c)

if

d)

then

10.

If angle A is supplementary to angle B, 

 <B ≅<C<B\ \cong<C  , then angle A is supplementary to angle C.  What reason is this?

a)

Two angles supplementary to the same angle are congruent

b)

Transitive

c)

Substitution

d)

Vertical angles are congruent

11.
a)

8

b)

10

c)

4

d)

7

12.
a)

5

b)

10

c)

7

d)

6

e)

15

13.

Angle 1 is supplementary to angle 2. Angle 1 and angle 3 are vertical angles. If the measure of angle 2 is 72 degrees, then find the measure of angle 3.

a)

18 degrees

b)

72 degrees

c)

108 degrees

d)

28 degrees

14.

If <A is complementary to <B     and 


   <D is complementary to <B, 


    then why is <A congruent to <D?

a)

Transitive

b)

Two angles complementary to the same angle are congruent

c)

Substitution

d)

Two complementary angles form a right angle

15.

Will you finish all of your Unit 2 MathXL assignments before tomorrow's test?

a)

You know it! =)

b)

No. =(