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Optional EC Practice - Unit 2 Part B

Total questions: 77

Worksheet time: 3hrs 43mins

Name
Class
Date
1.

What is a conditional statement?

a)

if-then statement

b)

if part

c)

then part

d)

a true or false statement

2.

What is a hypothesis?

a)

if-then statement

b)

if part

c)

then part

d)

a true or false statement

3.

What is a conclusion?

a)

if-then statement

b)

if part

c)

then part

d)

a true or false statement

4.

Write this statement as a conditional statement.

"Thanksgiving in the United States falls on the fourth Thursday of November."

a)

If it is a Thursday, then it is November.

b)

If it is the fourth Thursday of November, then it is Thanksgiving in the United States.

c)

If it is Thanksgiving, then it is in the United States.

d)

If it is a Thursday, then it is Thanksgiving in the United States.

5.

Determine if the conditional is true or false. If it is false, find a counterexample.

"If a polygon has 8 sides, then it is an octagon."

a)

True

b)

False

c)

False, if a polygon has 8 sides, then it is a hexagon.

6.

Determine if the conditional is true or false. If it is false, find a counterexample.

"If you live in a country that borders the United States, then you live in Canada."

a)

True

b)

False

c)

False, if you live in a country that borders the United States, then you live in Canada or Mexico.

7.

Determine if the conditional is true or false. If it is false, find a counterexample.

"If you play a sport with a ball and a bat, then you play baseball."

a)

True

b)

False

c)

False, if you play a sport with a ball and a bat, then you play baseball or cricket.

8.

Determine if the conditional is true or false. If it is false, find a counterexample.

"If an angle measures to 80 degrees, then it is acute."

a)

True

b)

False

c)

False, if an angle measures to 80 degrees, then it is obtuse.

9.

Select the inverse of the conditional statement.

"If you are a quarterback, then you play football."

a)

If you play football, then you are a quarterback.

b)

If you are not a quarterback, then you do not play football.

c)

If you do not play football, then you are not a quarterback.

10.

Select the converse of the conditional statement.

"If you are a quarterback, then you play football."

a)

If you play football, then you are a quarterback.

b)

If you are not a quarterback, then you do not play football.

c)

If you do not play football, then you are not a quarterback.

d)
11.

Select the contrapositive of the conditional statement.

"If you are a quarterback, then you play football."

a)

If you play football, then you are a quarterback.

b)

If you are not a quarterback, then you do not play football.

c)

If you do not play football, then you are not a quarterback.

12.

Select the contrapositive of the conditional statement.

"If two lines lie on the same plane, then they are coplanar."

a)

If they are coplanar, then they are two lines that lie on the same plane.

b)

If two lines do not lie on the same plane, then they are not coplanar.

c)

If they are not coplanar, then the two lines do not lie on the same plane.

13.

Select converse of the conditional statement.

"If two lines lie on the same plane, then they are coplanar."

a)

If they are coplanar, then they are two lines that lie on the same plane.

b)

If two lines do not lie on the same plane, then they are not coplanar.

c)

If they are not coplanar, then the two lines do not lie on the same plane.

d)
14.

Select inverse of the conditional statement.

"If two lines lie on the same plane, then they are coplanar."

a)

If they are coplanar, then they are two lines that lie on the same plane.

b)

If two lines do not lie on the same plane, then they are not coplanar.

c)

If they are not coplanar, then the two lines do not lie on the same plane.

15.
What is the Transitive property?
a)
 If a=b, then  a can be substituted for b in any equation or expression
b)
a(b+c)=ab+ac
c)
 If a=b, and b=c, then a=c
d)
If a=b, then b=a
16.
What is the Reflexive property?
a)
If a=b, then  a can be substituted for b in any equation or expression
b)
a(b+c)=ab+ac
c)
For any real number a, a=a .
d)
 If a=b, then b=a
17.
What is the Symmetric property?
a)
If a=b, then  a can be substituted for b in any equation or expression
b)
a(b+c)=ab+ac
c)
 For any real number a, a=a .
d)
 If a=b, then b=a
18.
Identify the property used here:
If 31 = 2x - 5, then 2x - 5 = 31
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Substitution
19.
The Symmetric Property says that if AB = BC, then _________
a)
AB = BC
b)
BC = AB
c)
BC = CD
d)
A = B
20.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
21.

If m+a=27 and a=4

then m+4=27

a)

REFLEXIVE PROPERTY

b)

TRANSITIVE PRPERTY

c)

SUBSITUTION PROPERTY

d)

SYMMETRIC PROPERTY

22.

If   a8=3\frac{a}{8}=3   then a=24

a)

Multiplication Property of Equality (MPE)

b)

Division Property of Equality (DPE)

c)

Addition Property of Equality (APE)

d)

Subtraction Property of Equality (SPE)

23.
What can be assumed? 
C is the midpoint of segment AB
a)
AB = BC
b)
AC=CB
c)
Nothing
d)
BA=CA
24.
Name the property:
 2(x + 3) = 2x + 6
a)
Division
b)
Distributive
c)
Reflexive
d)
Substitution
25.
Name the property described:
If PQ = RS then RS = PQ
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
26.
2. Find X
a)
9
b)
27
c)
45
27.
1. Find X 
a)
28
b)
5
c)
55
d)
40
28.
3. Find X
a)
59
b)
31
c)
177
29.
Which are pairs of vertical angles?
a)
∠COB & ∠COA
b)
∠AOD & ∠AOC
c)
∠COB & ∠AOD
d)
∠BOD & ∠AOD
30.
Vertical angles are always
a)
acute
b)
total 180 degrees
c)
congruent (equal measures)
d)
adjacent angles
31.
What is the value of x?
a)
37
b)
72
c)
108
d)
18
32.

What type of angles are these?

a)

Adjacent Angles

b)

Linear Pair

c)

Complementary Angles

d)

Supplementary Angles

e)

Vertical Angles

33.

Which angles are vertical angles?

a)

∠8 & ∠7\angle8\ \&\ \angle7

b)

∠8 & ∠6\angle8\ \&\ \angle6

c)

∠8 & ∠5\angle8\ \&\ \angle5

34.
Find the value of ∠A.
a)
25°
b)
30°
c)
35°
d)
90°
35.
What phrase does a biconditional statement use?
a)
if, then
b)
if, when
c)
if and only if
d)
then, if
36.
What is the biconditional that matches the statement: "A right angle is an angle with 90 degrees."
a)
If an angle has 90 degrees, then it is a right angle.
b)
If an angle is a right angle, then it has 90 degrees.
c)
An angle is a right angle if and only if it has 90 degrees.
37.
When can a biconditional statement be true?
a)
When the inverse and the converse are both true
b)
When the original statement (conditional statement) & the contrapositive are both true.
c)
When the converse is true.
d)
When the original statement (conditional statement) and the converse are both true.
38.
  Rewrite the following statement as a      biconditional: "Supplementary angles add up to 180"
a)
If two angles add up to 180o then they are supplementary.
b)
You can't it is conditional.
c)
Two angles are supplementary if and only if the sum of the measure of the two angles is 180o.
d)
If two angles sum does not equal 180o then they are not supplementary.
39.
What is the biconditional that matches the statement below: An even number is a number that is divisible by 2.
a)
A number is even if and only if it is divisible by 2.
b)
If a number is divisible by 2, then it is even.
c)
If a number is even, then it is divisible by 2.
40.
This symbol, ↔, means?
a)
and
b)
or 
c)
if and only if
d)
implies
41.

Select the conditional statement of the biconditional statement:


I am a junior if and only if I am in 11th grade.

a)

I am a junior

b)

If I am a junior, then I am in 11th grade.

c)

I am in 11th grade

42.

What counterexample makes the following biconditional false?


"It is Halloween if and only if it is October 31."

a)

This is a true biconditional, so it has no counterexamples.

b)

It is not October 31.

c)

I don't celebrate Halloween.

d)

It is October 30.

43.

Select the conditional statement(s) of the biconditional statement:


Points lie in one plane if and only if they are coplanar.

a)

Coplanar points lie in one plane.

b)

If points lie in one plane, then they are coplanar.

c)

If points are coplanar, then they lie in one plane.

d)

Planes have coplanar points.

44.

Select the conditional statement(s) of the biconditional statement.


Points are collinear if and only if they all lie in one line.

a)

If collinear points lie in one line, then they are a line.

b)

If points all lie in one line, then they are collinear.

c)

Collinear points lie in one line.

d)

If points are collinear, then they all lie in one line.

45.

Identify the hypothesis in the statement.

a)

You like the ocean

b)

You are a good swimmer

c)

If you are a good swimmer, then you like the ocean.

d)

You are not a good swimmer.

46.

Match the following

a)
1.

Subtraction

Property

b)
2.

Symmetric

Property

c)
3.

Combine

like terms

d)
4.

Distributive

Property

e)
5.

Transitive

Property

47.
What is reason 2?
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
48.
Which symbol means "perpendicular"?
a)
∏
b)
∥
c)
∠
d)
⊥
49.

4) What is the reason for Statement 3

a)

Corresponding Angles Postulate

b)

Angles that form a Linear Pair that sums 180°

c)

Same-side Interior Angles Theorem

d)

Vertical Angles Theorem

50.
1. Find ∠ AOC 
a)
130
b)
50 
c)
40
51.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

52.

Which property, definition, postulate, or theorem justifies the following statement?

MN‾≅MN‾\overline{MN}\cong\overline{MN}  

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Transitive Property of Congruence

d)

Segment Congruences Property

53.
Which property justifies the next step?
a)
Definition of linear pair
b)
Definition of supplementary angles
c)
Congruent supplements thm
d)
Linear pair postulate
54.
What is the reason?
a)
Definition of vertical angles
b)
Angle addition postulate
c)
Definition of angle bisectors
d)
Vertical angles are congruent
55.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

56.

Which property, definition, postulate, or theorem justifies the following statement?

If  CD+EF=HICD+EF=HI  and  EF=MNEF=MN  , then  CD+MN=HICD+MN=HI  .

a)

Transitive Property of Equality

b)

Addition Property of Equality

c)

Segment Addition Postulate

d)

Substitution Property

57.
Given segment BC with point x on the segment between points B and C.  What is the best choice for the missing reason?
a)
Definition of segment congruence
b)
Definition of a midpoint
c)
Definition of a segment
d)
Segment addition postulate
58.

Which property justifies the next step?

a)

Definition of congruent segments

b)

Segment addition postulate

c)

Transitive Property

d)

Definition of equality

59.
What is the reason?
a)
Reflexive property of equality
b)
Definition of a right angle
c)
All right angles are congruent
d)
Definition of perpendicular
60.
Name the most specific angle relationship.
a)
Complementary
b)
Supplementary
c)
Vertical
d)
Adjacent
61.
Which property justifies the next step?
a)
Definition of supplementary
b)
Congruent supplements thm
c)
Definition of congruence
d)
Transitive theorem of angle congruence
62.
Which property justifies the next step?
a)
Definition of supplementary angles
b)
Congruent supplements  thm
c)
Definition of congruence
d)
Transitive property of equality
63.
Which property justifies the next step?
a)
Transitive property of equality
b)
Symmetric property of equality
c)
Reflexive property of equality
d)
Definition of congruent angles
64.
Which property justifies the next step?
a)
Congruent complements thm
b)
Definition of complementary angles
c)
Transitive thm of  angle congruence
d)
Definition of congruent angles
65.
If ∠BHG is a right angle and m∠BHF=125⁰, what is m∠3?
a)
90⁰
b)
35⁰
c)
55⁰
d)
125⁰
66.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Associative Property
b)
Commutative Property
c)
Distributive Property
d)
Combine Like Terms
67.
What is the reason?
a)

Reflexive Property

b)

Substitution Property

c)

Transitive Property

d)

Symmetric Property

68.
Name the property of equality or congruence that justifies going from the first statement to the second statement.
a)
Reflexive Property of Congruence
b)
Symmetric Property of Congruence
c)
Distributive Property
d)
Transitive Property of Congruence
69.

What is the justification?

a)

Definition of congruence

b)

Reflexive Property of Congruence

c)

Segment Addition Postulate

d)

Definition of Midpoint

70.

What is the justification?

a)

Segment Addition Postulate

b)

Definition of Midpoint

c)

Addition Property of Equality

d)

Complement Theorem

71.

What is the justification?

a)

Transitive Property of Equality

b)

Subtraction Property of Equality

c)

Division Property of Equality

d)

Substitution Property of Equality

72.
a)

Multiplication Property of Equality

b)

Segment Addition Postulate

c)

Definition of Midpoint

d)

Symmetric Property of Congruence

73.

What is the justification?

a)

Definition of Congruence

b)

Segment Addition Postulate

c)

Transitive Property of Congruence

d)

Definition of Midpoint

74.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
75.
AB = AB
a)
Reflexive POE
b)
Transitive POE
c)
Symmetric POE
d)
Distributive POE
76.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
77.
What is the missing statement in the proof?
a)
Subtraction p.o.e.
b)
Substitution p.o.e.
c)
Transitive p.o.e.
d)
Symmetric p.o.e.

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