Free Printable Topic 4 Test Review

1.

Write the equation of a line PARALLEL to y = 2x + 3 that passes through the point (3, 1).

a)

$y=2x\ -3$

b)

$y=2x-5$

c)

$y=2x\ +\ 1$

d)

$y=-\frac{1}{2}x+\frac{5}{2}$

2.

Write the equation of a line PARALLEL to that passes through the point (3, 1). $y=-\frac{5}{2}x+10$

a)

$y=-\frac{5}{2}x\ +\ 6$

b)

$y\ =-\frac{5}{2}x+\frac{17}{2}$

c)

$y=\frac{2}{5}x+6$

d)

$y=\frac{2}{5}x+\ 8$

3.

Write the equation of a line PERPENDICULAR to y = -2x + 1 that passes through the point (2, 3).

a)

$y=-\frac{1}{2}x+\frac{1}{2}$

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

4.

Write the equation of a line PERPENDICULAR to $y=\frac{1}{3}x-9$ that passes through the point (-6, 10).

a)

$y=\frac{1}{3}x-9$

b)

$y=\frac{1}{3}x+10$

c)

$y=-3x+6$

d)

$y=-3x-8$

5.

Select the two lines that are parallel.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are parallel.

6.

Select the two lines that are parallel.

a)

$y=5x-3$

b)

$x\ +\ 5y=2$

c)

$-10y-2x=0$

d)

None are parallel

7.

Select the two lines that are perpendicular.

a)

$y=4x-2$

b)

$y=-\frac{1}{4}x$

c)

$y=-4x+1$

d)

None are perpendicular.

8.

Select the two lines that are perpendicular.

a)

$2x+6y=-3$

b)

$-1.5y+4.5x=6$

c)

$y=-4x+1$

d)

None are perpendicular.

9.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

10.

Are the lines parallel, perpendicular, or neither?

a)

Parallel

b)

Perpendicular

c)

Neither

11.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

12.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

13.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

14.

What slope is perpendicular to:
m = 5/8

a)

-5/8

b)

5/8

c)

-8/5

d)

8/5

15.

A line is parallel to y = 2x - 7.
What is it's slope?

a)

-2

b)

1/2

c)

-1/2

d)

2

16.

The following represents slopes of two lines. Which answer choice describes the two lines? $m=-\frac{1}{3}$ and $m=-\frac{1}{3}$ .

a)

Parallel

b)

Perpendicular

c)

Neither

17.

What is the slope of a line perpendicular to a line with slope ^-6/₅?

a)

^-6/₅

b)

^-5/6

c)

⁵/₆

d)

^-4/₃

18.

What is the slope of a line perpendicular to 5?

a)

5

b)

1/5

c)

-1/5

d)

-5

19.

$y=-\frac{2}{3}x+9$ $y=\frac{3}{2}x+9$

These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

20.

Which line is perpendicular to
y = x + 9 ?

a)

y = - x + 8

b)

y = ¹/₂x + 9

c)

y = ^-1/₂x + 9

d)

y = x - 9

21.

Write the equation of the perpendicular bisector of the line AB given:
A(3,-3) & B(1,-1)

a)

y = x - 4

b)

y = x + 4

c)

y = 1/2x -4

d)

y = x + 2

22.

Write the equation of the perpendicular bisector of the line AB given:
A(1,3) & B(-3,5)

a)

y = 2x + 4

b)

y = 2x + 6

c)

y = -2x + 6

d)

y = 2x - 6

23.

Given you have two points and are asked to find the perpendicular bisector, what step should you do first?

a)

Skip the problem

b)

Find the distance between the two points

c)

Find the equation of the line

d)

Find the midpoint of the two given points

24.

If you found the midpoint of line segment AB, what should you do next to find the equation of the perpendicular bisector?

a)

Use the midpoint and one of the points from AB to write the equation

b)

Use the midpoint and slope perpendicular to AB to write the equation

c)

Use the distance and midpoint to find the equation

d)

Skip it and hope it's not a test question

25.

Which property says that if m∠1 = m∠3, then m∠1 + m∠2 = m∠3 + m∠2?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

26.

Which property justifies that if AB = XY and XY = MN, then AB = MN?

a)

Substitution Property

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

27.

Which property says if 6y = 24, then 6y - 3 = 24 - 3?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

28.

What allows you to say that AM = AM?

a)

Symmetric Property

b)

Reflexive Property

c)

Transitive Property

d)

Identity Property

29.

Which reason justifies the statement below?

AC + CD = AD

a)

Angle Addition Postulate

b)

Addition Property

c)

Segment Addition Postulate

d)

Definition of a Midpoint

30.

Which reason justifies the statement below?

If MN = PQ, then MN ≅ PQ.

a)

Definition of Congruence

b)

Definition of Midpoint

c)

Reflexive Property

d)

Symmeric Property

31.

Which reason justifies the statement below?

If ∠T and ∠U are supplementary, then m∠T + m∠U = 180^∘.

a)

Definition of Complementary Angles

b)

Definition of Supplementary Angles

c)

Complements Theorem

d)

Supplements Theorem

32.

Which reason justifies the statement below?

If segment AB ⊥ segment MN, then ∠MNB is a right angle.

a)

Complement Thereom

b)

Definition of Complementary Angles

c)

Definition of Right Anlge

d)

Definition of Perpendicular

33.

Which reason justifies the statement below?

If ∠T and ∠U are complementary, then m∠T + m∠U = 90^∘.

a)

Congruent Complements Theorem

b)

Definition of Right Angles

c)

Definition of Complementary Angles

d)

Congruent Complements Theorem

34.

If B is the midpoint of AC, then AB ≅ BC.

a)

Definition of Congruent Segments

b)

Definition of Midpoint

c)

Vertical Angles Theorem

d)

Definition of Angle Bisector

35.

If DB bisects ∠ABC, then ∠ABD = ∠CBD.

a)

Definition of Congruent Angles

b)

Definition of Angle Bisector

c)

Angle Addition Postulate

d)

Definition of Right Angle

36.

If ∠CAT is a right angle, then m∠CAT = 90°.

a)

Definition of Right Angle

b)

Definition of Perpendicular Lines

c)

Angle Addition Postulate

d)

Segment Addition Postulate

37.

Which property justifies EF = EF?

a)

Substitution Property

b)

Reflexive Property

c)

Symmetric Property

d)

Transitive Property

38.

Which is the correct reason for statement 1 in the proof?

a)

Definition of Congruent Angles

b)

Substitution

c)

Transitive Property

d)

Given

39.

What is the missing statement in the proof?

a)

2m∠ABD=m∠ABD+m∠ABD

b)

m∠ABD=m∠DBC

c)

m∠ABC=m∠ABC

d)

m∠ABD+m∠ABD=m∠ABD+m∠DBC

40.

Which symbol means "perpendicular"?

a)

∏

b)

∥

c)

∠

d)

⊥

41.

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.

42.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

43.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

44.

What is the correct reason for line 5 and 6?

a)

5.Transitive Property of equality 6. Substitution

b)

5.Algebra 6.Definition of ≅

c)

5.Substitution 6.Definition of ≅

d)

5.Angle addition postulate 6.Substitution

45.

Which could be used to prove the lines are parallel?

a)

Converse of Alternate Interior Angles Theorem

b)

Converse of Same-Side Interior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Cannot be proved parallel

46.

Which could be used to prove the lines are parallel?

a)

Converse of Vertical Angles

b)

Converse of Alternate Interior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Cannot be proved parallel

47.

a)

No

b)

Yes, Corresponding angles are congruent

c)

Yes, Alternate Interior angles are congruent

d)

Yes, Alternate Exterior angles are congruent

48.

a)

No

b)

Yes, corresponding angles are congruent

c)

Yes, consecutive interior angles are congruent

d)

Yes, Alternate exterior angles are congruent

49.

a)

Converse of Corresponding Angles Postulate

b)

Corresponding Angles Postulate

c)

Converse of Consecutive Interior Angles Theorem

d)

Converse of Alternate Interior Angles Theorem

50.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents corresponding angles?

a)

$\angle1$ and $\angle6$

b)

$\angle6$ and $\angle5$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

51.

Given the following two parallel lines cut by a transversal.

Which pair of angles represents alternate interior angles?

a)

$\angle3$ and $\angle8$

b)

$\angle7$ and $\angle2$

c)

$\angle7$ and $\angle8$

d)

$\angle4$ and $\angle8$

52.

a)

15

b)

16

c)

18

d)

19

53.

Angle D and Angle W are...

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Same-Side Interior

54.

The supplement of an angle is 65 °. What is the measure of the angle?

a)

25°

b)

15°

c)

115°

d)

35°

55.

What is the relationship of the angle pair?

a)

vertical

b)

supplementary

c)

complementary

d)

adjacent

56.

What is the relationship of the angle pair?

a)

vertical

b)

supplementary

c)

adjacent

d)

complementary

57.

Identify the angle relationship.

a)

vertical

b)

supplementary

c)

complementary

d)

adjacent

58.

What is the measure of angle b?

a)

39 degrees

b)

51 degrees

c)

129 degrees

d)

83 degrees

59.

Find the value of b.

a)

147 degrees

b)

57 degrees

c)

50 degrees

d)

40 degrees

60.

Name the angle relationship.

a)

Alternate Interior

b)

Alternate Exterior

c)

Corresponding

d)

Vertical Angles

61.

A line that passes through 2 or more lines is called a ______________.

a)

transitive

b)

passer through line

c)

transversal

d)

bisector

62.

Find the value of x.

a)

x = 133

b)

x = 47

63.

What type of angle is shown?

a)

acute

b)

obtuse

c)

right

d)

straight

64.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

65.

Which choices are two examples of same side interior angles in the diagram:

a)

$\angle6\ and\ \angle10\ and\ \angle8\ and\ \angle12$

b)

$\angle1\ and\ \angle9\ and\ \angle3\ and\ \angle11$

66.

What is the value of x?

a)

$30\degree$

b)

$35\degree$

67.

$\angle3$ and $\angle7$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

68.

$\angle3\$ and $\angle2$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

69.

$\angle7\$ and $\angle5$ are ___.

a)

Alternate Interior Angles

b)

Alternate Exterior Angles

c)

Same-side Interior Angles

d)

Corresponding Angles

e)

None of these

70.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

71.

If ∠5 ≌∠7, which of the following can be concluded?

a)

r is parallel to s by converse of Alternate Interior Angles Thm.

b)

u is parallel to v by Converse of Corresponding Angles Thm

c)

s is ⊥ u by Converse of Alternate Interior Angles Thm

d)

v ⊥ r by Converse of Alternate Exterior Angles Thm

72.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

73.

If

m\angle4\ =\ 6x\ -5

and

m\angle3\ =\ 4x\ +5.

Set up your equation and solve for x.

a)

6x - 5 = 4x + 5; x = 0

b)

6x - 5 + 4x + 5 = 180; x = 18.

c)

6x - 5 = 4x + 5; x = 1

d)

6x - 5 + 4x + 5 = 90; x = 9.

74.

If $m\angle8\ =\ 9x+15$ and $m\angle6\ =\ 6x\ +45.$

Set up your equation and solve for x.

a)

9x + 15 + 6x +45 = 180; x = 8

b)

9x + 15 = 6x + 45; x =10

c)

9x + 15 + 6x +45 = 90; x = 2

d)

9x + 15 = 6x + 45; x =2

75.

Identify the angle pair.

\angle3

and

\angle9

a)

Vertical Angles (VA)

b)

Same-Side Interior Angles (SSIA)

c)

Corresponding Angles (CA)

d)

Linear Pair (LP)

76.

Identify the angle pair.

$\angle13$ and $\angle14$

a)

Alternate-Exterior Angles (AEA)

b)

Same-Side Interior Angles (SSIA)

c)

None

d)

Alternate-Interior Angles (AIA)

77.

Identify the angle pair.

\angle13

and

\angle16

a)

Vertical Angles (VA)

b)

Same-Side Interior Angles (SSIA)

c)

Corresponding Angles (CA)

d)

Alternate-Interior Angles (AIA)

78.

Identify the angle pair.

$\angle4$ and $\angle14$

a)

Same-Side Interior (SSIA)

b)

Corresponding (CA)

c)

Alternate Interior (AIA)

d)

Same-Side Exterior (SSIA)

Topic 4 Test Review

Total questions: 78

Worksheet time: 3hrs 36mins

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