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Justifying Statements and Angle Pairs

Total questions: 48

Worksheet time: 48mins

Name
Class
Date
1.

What is the relationship between angle 1 and angle 5?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Same Side Exterior Angles

d)

Vertical angles

2.

What is the relationship between angle 1 and angle 7?

a)

Same Side Exterior Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

3.

What is the relationship between angle 4 and angle 5?

a)

Vertical Angles

b)

Alternate Exterior Angles

c)

Alternate Interior Angles

d)

Corresponding Angles

4.

What is the relationship between angle 8 and angle 6?

a)

Corresponding Angles

b)

Same Side Interior Angles

c)

Same Side Exterior Angles

d)

Vertical Angles

5.

What is the relationship between angle 3 and angle 5?

a)

Same Side Interior

b)

Vertical Angles

c)

Alternate Interior Angles

d)

Same Side Exterior Angles

6.

What is the relationship between angle 1 and angle 8?

a)

Same Side Exterior Angles

b)

Same Side Interior Angles

c)

Alternate Interior Angles

d)

Alternate Exterior Angles

7.

Angles that add to be 180°180\degree  are called ...

a)

Vertical Angles

b)

Similar Angles

c)

Supplementary Angles

d)

Corresponding Angles

8.

Angles with the same measure are called ...

a)

Congruent

b)

Similar

c)

Supplementary

d)

Transversal

9.

A line that intersects at least two other lines is called a ...

a)

Supplementary Angle

b)

Parallel Line

c)

Transversal

d)

Tarantula

10.

What is the value of x?

a)

x = 45

b)

x = 135

c)

x = 90

d)

x = 35

11.

Find the value of x.

a)

x = 130

b)

x = 31

c)

x = 44

d)

x = 180

12.

If a transversal intersects two parallel lines, then same side interior angles are ____________.

a)

Supplementary

b)

Congruent

13.

If a transversal intersects two parallel lines, then alternate interior angles are ___________.

a)

Supplementary

b)

Congruent

14.

Vertical angles are always _________.

a)

Supplementary

b)

Congruent

15.

Use the image to answer the question.

a)

A

b)

B

c)

C

d)

D

16.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

17.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

18.

The last statement is <4 = <6. What is the last reason

a)

Prove

b)

Definition of congruent angles

c)

Transitive Property

d)

Alternate Interior Angles Theorem

19.

Which statement represents what you have to prove from the question?

a)

b)

c)

20.

What is the relationship of ∠4 and ∠7?

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Consecutive Interior Angles

e)

Linear Pair

21.

If you know that angles 1 and 2 are vertical, what else do you know?

a)

Angles 1 and 2 are congruent

b)

Angles 1 and 2 are supplementary

c)

Angles 1 and 2 are right angles

d)

Angles 1 and 2 are corresponding angles

22.
If X is between R & T on a line,
then RX + XT = RT
a)
Addition POE
b)
Substitution POE
c)
Angle Addition Post.
d)
Segment Addition Post.
23.
Which property justifies the next step?
a)
Segment addition postulate
b)
Definition of an angle bisector
c)
Angle addition postulate
d)
Definition of right angles
24.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
25.
IF <ABC ≅ <DEF, then m<ABC = m<DEF
a)
Reflexive POE
b)
Addition POE
c)
Def. of congruent angles
d)
Def. of right angles
26.

Are these vertical angles (yes/no)

a)

yes

b)

no

27.

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

28.

11) What is the reason for Statement 2?

a)

Vertical Angles Theorem

b)

Corresponding Angles Theorem

c)

Alternate Exterior Angles Theorem

d)

Converse of Corresponding Angles Theorem

29.

What is the reason for number 5

a)

Transitive Property

b)

Substitution

c)

Definition of Supplementary Angles

d)

Supplementary Theorem

30.

Supply the first statement.

a)

m ll n

b)

< 4 = < 6

c)

Given

d)

Definition of parallel lines

31.
Which property justifies the next step?
a)
Definition of linear pair
b)
Definition of supplementary angles
c)
Congruent supplements thm
d)
Linear pair postulate
32.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
33.
What is the REASON for Statement #2?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
34.

If it is given that the indicated lines are parallel and that segment SF bisects ∠TSE, select ALL correct statements that could be used.

a)

∠1 ≅ ∠5 by the corresponding angles postulate

b)

∠2 ≅ ∠4 by the alternate interior angles theorem

c)

∠1 ≅ ∠2 by the definition of an angle bisector

d)

∠3 and ∠5 are supplementary by the consecutive interior angles theorem

35.

If it is given that p ∥ q, what are ALL correct statements that can be made?

a)

∠1 ≅ ∠3 by the corresponding angles postulate

b)

∠2 and ∠3 are supplementary by the linear pairs postulate

c)

m∠2 + m∠3 = 180° by the linear pairs postulate

d)

∠1 ≅ ∠2 by the alternate exterior angles theorem

36.

If ∠2 is supplementary to ∠3, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

None of the above

37.

If ∠8 ≅ ∠6, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

38.

If ∠8 ≅ ∠6, which of the following can be used to determine lines are parallel?

a)

Corresponding Angles Converse

b)

Alternate Interior Angles Converse

c)

Alternate Exterior Angles Converse

d)

Interiors on Same Side Converse

e)

none of the above

39.

If ∠1 ≅ ∠3, then ________.

a)

line c is parallel to line d

b)

line a is parallel to line b

c)

Cannot determine 2 lines to be parallel.

d)

line c is parallel to line a

e)

line b is parallel to line d

40.

If m∠5=65˚ and m∠9=115˚, then ________.

a)

line b is parallel to line a

b)

line c is parallel to line a

c)

line b is parallel to line d

d)

line c is parallel to line d

e)

Cannot determine 2 lines to be parallel.

41.

What does a proof always start with?

a)

Theorems

b)

Given Statement(s)

c)

Postulates

d)

Reasons

42.

What property states that if

a = b and b = c then a = c?

a)

Equality Property

b)

Reflexive Property

c)

Transitive Property

d)

Associative Property

43.

What property states that something is congruent to itself?

a)

Symmetry Property

b)

Congruence Property

c)

Reflexive Property

44.

What is the difference between a theorem and a postulate?

a)

A postulate is a statement that is assumed true without proof while a theorem is a true statement that can be proven.

b)

A theorem is a statement that is assumed true without proof while a postulate is a true statement that can be proven.

45.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

46.

Name the property of equality that the statement illustrates.

If m∠A + m∠B = 70° and m∠B=40°, then m∠A + 40° = 70°

a)

Substitution Property of Equality

b)

Transitive Property of Equality

c)

Definition of Complementary Angles

d)

Transitive Property of Congruence

47.

Name the property of equality that the statement illustrates.

If ∠S and ∠P are supplementary, then m∠S + m∠P = 180°

a)

Definition of Supplementary Angles

b)

Definition of Complementary Angles

c)

Definition of Linear Pair

d)

Definition of Vertical Angles

48.

Which Postulate/Definition would you use to find HG?

a)

Segment Addition Postulate

b)

Angle Addition Postulate

c)

Definition of Segment Bisector

d)

Definition of Angle Bisector

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