Free Printable Honors Chapter 3-4 Test

1.

What is the hypothesis of the following statement?

If you drive an Explorer, then you drive a Ford.

a)

Explorer

b)

If you drive an Explorer

c)

If

d)

you drive an Explorer

e)

you drive a Ford

2.

What is the conclusion of the statement?

If you drive an Explorer, then you drive a Ford.

a)

you drive a Ford

b)

Ford

c)

then you drive a Ford

d)

then

e)

you drive an Explorer

3.

What is the CONVERSE of the statement given:

If the month is March, then it has 31 days.

a)

If the month does not have 31 days, then it is not March.

b)

If the month is not March, then it does not have 31 days.

c)

If the month has 31 days, then it is March.

d)

If the month is not March, then it has 31 days.

e)

If the month has 31 days, then it is not March.

4.

What is the INVERSE of the statement given:

If the month is March, then it has 31 days.

a)

If the month does not have 31 days, then it is not March.

b)

If the month is not March, then it does not have 31 days.

c)

If the month has 31 days, then it is March.

d)

If the month is not March, then it has 31 days.

e)

If the month has 31 days, then it is not March.

5.

What is the CONTRAPOSITIVE of the statement given:

If the month is March, then it has 31 days.

a)

If the month does not have 31 days, then it is not March.

b)

If the month is not March, then it does not have 31 days.

c)

If the month has 31 days, then it is March.

d)

If the month is not March, then it has 31 days.

e)

If the month is March, then it does not have 31 days.

6.

Select ALL of the segments that are SKEW to $\overline{HG}$ from the choices given.

a)

$\overline{AB}$

b)

$\overline{BC}$

c)

$\overline{AI}$

d)

$\overline{DF}$

e)

$\overline{HI}$

7.

How many segments are parallel to $\overline{DF}?$

a)

1

b)

2

c)

3

d)

4

e)

5

8.

Select all segments that appears to be perpendicular to $\overline{GC}$

a)

$\overline{AI}$

b)

$\overline{GF}$

c)

$\overline{CD}$

d)

$\overline{CB}$

e)

$\overline{ED}$

9.

Which plane is parallel to plane HGF?

a)

BCG

b)

ABI

c)

ABD

d)

JED

e)

CGF

10.

Which reason justifies the statement given?

a)

Symmetric Property

b)

Segment Addition Postulate

c)

Substitution Property

d)

Transitive Property

(Not substitution)

e)

Simplify

11.

Which reason justifies the statement given?

a)

Definition of Congruence

b)

Reflexive Property

c)

Symmetric Property

d)

Definition of Midpoint

e)

Transitive Property

12.

Which reason justifies the statement given?

a)

Addition Property

b)

Subtraction Property

c)

Transitive Property

d)

Segment Addition Postulate

e)

Distributive Property

13.

Which reason justifies the statement given?

a)

Reflexive Property

b)

Substitution Property

c)

Addition Property

d)

Subtraction Property

e)

Simplify

14.

Click on the photo to enlarge if necessary. It might benefit you to copy the proof down, as the next 5 questions will be from the same proof.

What is the answer to step 2?

a)

Subtraction Property

b)

Definition of Congruence

c)

Transitive Property (or Substitution)

d)

Substitution Property (not Transitive)

e)

Segment Addition Postulate

15.

Click on the photo to enlarge if necessary.

What is the answer to step 3?

a)

Subtraction Property

b)

Definition of Congruence

c)

Transitive Property (or Substitution)

d)

Substitution Property (not Transitive)

e)

Segment Addition Postulate

16.

Click on the photo to enlarge if necessary.

What is the answer to step 4?

a)

Subtraction Property

b)

Definition of Congruence

c)

Transitive Property (or Substitution)

d)

Substitution Property (not Transitive)

e)

Segment Addition Postulate

17.

Click on the photo to enlarge if necessary.

What is the answer to step 5?

a)

Subtraction Property

b)

Definition of Congruence

c)

Transitive Property (or Substitution)

d)

Substitution Property (not Transitive)

e)

Segment Addition Postulate

18.

Click on the photo to enlarge if necessary.

What is the answer to step 6?

a)

Subtraction Property

b)

Definition of Congruence

c)

Transitive Property (or Substitution)

d)

Substitution Property (not Transitive)

e)

Segment Addition Postulate

19.

Click on the photo to enlarge if necessary.

What is the answer to step 7?

a)

Subtraction Property

b)

Definition of Congruence

c)

Transitive Property (or Substitution)

d)

Substitution Property (not Transitive)

e)

Segment Addition Postulate

20.

What reason justifies the statement given?

a)

Angle Addition Postulate

b)

Definition of Angle Bisector

c)

Addition Property

d)

Definition of Congruence

e)

Segment Addition Postulate

21.

Which reason justifies the statement given?

a)

Definition of Congruence

b)

Angle Addition Postulate

c)

Supplement Theorem

d)

Vertical Angle Theorem

e)

Linear Pair Postulate

22.

Which reason justifies the statement given?

a)

The Complement Theorem

b)

Definition of a Right Angle

c)

Congruent Complements Theorem

d)

Definition of Complementary Angles

e)

Angle Addition Postulate

23.

Which reason justifies the statement given?

a)

Definition of Complementary Angles

b)

Definition of a Right Angle

c)

Definition of Perpendicular

d)

The Complement Theorem

e)

Linear Pair Postulate

24.

Click on the photo to enlarge if necessary. It might benefit you to copy the proof down, as the next 7 questions will be from the same proof.

What is the answer to step 2?

a)

Definition of Supplementary

b)

Vertical Angle Theorem

c)

Definition of Midpoint

d)

Definition of Congruence

e)

Definition of LInear Pair

25.

Click on the photo to enlarge if necessary.

What is the answer to step 3?

a)

Definition of Supplementary

b)

Vertical Angle Theorem

c)

Definition of Linear Pair

d)

Definition of Congruence

e)

Simplify

26.

Click on the photo to enlarge if necessary.

What is the answer to step 4?

a)

Given

b)

Vertical Angle Theorem

c)

Substitution

d)

Definition of Congruence

e)

Definition of Linear Pair

27.

Click on the photo to enlarge if necessary.

What is the answer to step 5?

a)

Given

b)

Vertical Angle Theorem

c)

Substitution

d)

Definition of Congruence

e)

Definition of Bisect

28.

Click on the photo to enlarge if necessary.

What is the answer to step 6?

a)

Substitution (not Transitive)

b)

Vertical Angle Theorem

c)

Transitive/Substitution

d)

Definition of Congruence

e)

Definition of Supplementary

29.

Click on the photo to enlarge if necessary.

What is the answer to step 7?

a)

Substitution (not Transitive)

b)

Vertical Angle Theorem

c)

Transitive/Substitution

d)

Definition of Congruence

e)

Definition of Midpoint

30.

Click on the photo to enlarge if necessary.

What is the answer to step 8?

a)

Substitution (not Transitive)

b)

Vertical Angle Theorem

c)

Transitive/Substitution

d)

Definition of Congruence

e)

Definition of LIneat Pair

31.

Click on the photo to enlarge if necessary.

What is the answer to step 9?

a)

Definition of Supplementary

b)

Vertical Angle Theorem

c)

Definition of Linear Pair

d)

Definition of Congruence

e)

Substitution (no Transitive)

32.

Click on the photo to enlarge if necessary. It might benefit you to copy the proof down, as the next 5 questions will be from the same proof.

What is the answer to step 2?

a)

Addition Property

b)

Simplify

c)

Definition of Bisect

d)

Definition of Midpoint

e)

Given

33.

Click on the photo to enlarge if necessary.

What is the answer to step 3?

a)

Addition Property

b)

Simplify

c)

Definition of Bisect

d)

Definition of Midpoint

e)

Segment Addition Postulate

34.

Click on the photo to enlarge if necessary.

What is the answer to step 4?

a)

Division Property

b)

Simplify

c)

Segment Addition Postulate

d)

Transitive/Substitution

e)

Definition of Bisect

35.

Click on the photo to enlarge if necessary.

What is the answer to step 5?

a)

Division Property

b)

Simplify

c)

Segment Addition Postulate

d)

Transitive/Substitution

e)

Definition of Midpoint

36.

Click on the photo to enlarge if necessary.

What is the answer to step 6?

a)

Division Property

b)

Simplify

c)

Segment Addition Postulate

d)

Transitive/Substitution

e)

Substitution (no Transitive)

37.

Click on the photo to enlarge if necessary.

What is the answer to step 7?

a)

Addition Property

b)

Simplify

c)

Segment Addition Postulate

d)

Transitive/Substitution

e)

Division Property

38.

It might benefit you to draw the picture and

find all the angles to answer the next 6 questions.

$p\parallel q,\ q\parallel r,\ AB\ \perp\ r,\ \angle1=50\degree.$

What is the measure of angle 5?

a)

$50\degree$

b)

$40\degree$

c)

$90\degree$

d)

$130\degree$

e)

$140\degree$

39.

It might benefit you to draw the picture and

find all the angles to answer the next 6 questions.

$p\parallel q,\ q\parallel r,\ AB\ \perp\ r,\ \angle1=50\degree.$

What is the measure of angle 8?

a)

$50\degree$

b)

$40\degree$

c)

$90\degree$

d)

$130\degree$

e)

$140\degree$

40.

It might benefit you to draw the picture and

find all the angles to answer the next 6 questions.

$p\parallel q,\ q\parallel r,\ AB\ \perp\ r,\ \angle1=50\degree.$

What is the measure of angle 10?

a)

$50\degree$

b)

$40\degree$

c)

$90\degree$

d)

$130\degree$

e)

$140\degree$

41.

It might benefit you to draw the picture and

find all the angles to answer the next 6 questions.

$p\parallel q,\ q\parallel r,\ AB\ \perp\ r,\ \angle1=50\degree.$

What is the measure of angle 12?

a)

$50\degree$

b)

$40\degree$

c)

$90\degree$

d)

$130\degree$

e)

$140\degree$

42.

It might benefit you to draw the picture and

find all the angles to answer the next 6 questions.

$p\parallel q,\ q\parallel r,\ AB\ \perp\ r,\ \angle1=50\degree.$

What is the measure of angle 2?

a)

$50\degree$

b)

$40\degree$

c)

$90\degree$

d)

$130\degree$

e)

$140\degree$

43.

It might benefit you to draw the picture and

find all the angles to answer the next 6 questions.

$p\parallel q,\ q\parallel r,\ AB\ \perp\ r,\ \angle1=50\degree.$

What is the measure of angle 3?

a)

$50\degree$

b)

$40\degree$

c)

$90\degree$

d)

$130\degree$

e)

$140\degree$

44.

Refer to the figure. State the name of each angle pair.

$\angle19\ and\ \angle4$

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

e)

None

45.

Refer to the figure. State the name of each angle pair.

$\angle13\ and\ \angle10$

a)

Corresponding Angles

b)

Vertical Angles

c)

Alternate Interior Angles

d)

Linear Pair

e)

None

46.

Refer to the figure. State the name of each angle pair.

$\angle16\ and\ \angle8$

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

e)

None

47.

Refer to the figure. State the name of each angle pair.

$\angle12\ and\ \angle13$

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

e)

None

48.

Refer to the figure. State the name of each angle pair.

$\angle16\ and\ \angle10$

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

e)

None

49.

Refer to the figure. State the name of each angle pair.

$\angle17\ and\ \angle5$

a)

Corresponding Angles

b)

Alternate Interior Angles

c)

Alternate Exterior Angles

d)

Same Side Interior Angles

e)

None

50.

Refer to the figure. State the name of each angle pair.

$\angle7\ and\ \angle8$

a)

Corresponding Angles

b)

Vertical Angles

c)

Alternate Interior Angles

d)

Linear Pair

e)

None

51.

Solve the equation. The next question will ask you to write the theorem that describes the reason for finding x.

(a)

52.

$l\ and\ m\ are\ parallel$

Which theorem describes why you are able to solve for x?

a)

If lines \\, then CO angles are congruent

b)

If lines \\, then AI angles are congruent

c)

If lines \\, then AE angles are congruent

d)

If lines \\, then SSI angles are congruent.

e)

If lines \\, then AI angles are suppl.

53.

Solve the equation. The next question will ask you to write the theorem that describes the reason for finding x.

a)

x = 10, x = -16

b)

x = 16

c)

x = -10

d)

x = 16, x = -10

54.

Which theorem describes why you are able to solve for x.

a)

If lines \\, then AI angles are congruent

b)

If lines \\, then SSE angles are supplementary

c)

If lines \\, then SSI angles are supplementary

d)

If lines \\, then SSI angles are congruent

55.

Solve the problem for x and y.

For this question, what is your x answer?

(don't erase your work! "y" answer is next)

(a)

56.

Solve for x and y. For this question, tell your answer for y.

(a)

57.

CONVERSE PROBLEM!

Determine which lines are parallel (if any) and decide if the converse statement is written correctly Only one is correct!

Given: $\angle13\ \cong\ \angle17$

a)

$a\ \parallel\ b$ ,

$If\ AI\ \angle's\ \cong,\ then\ lines\ \parallel$

b)

$a\ \parallel\ c$ ,

$If\ CO\ \angle's\ \cong,\ then\ lines\ \parallel$

c)

$a\ \parallel\ c$ ,

$If\ AI\ \angle's\ \cong,\ then\ lines\ \parallel$

d)

No lines parallel

58.

CONVERSE PROBLEM!

Determine which lines are parallel (if any) and decide if the converse statement is written correctly Only one is correct!

Given: $\angle4\ \cong\ \angle9$

a)

$d\ \parallel\ e$ ,

$If\ AE\ \angle's\ \cong,\ then\ lines\ \parallel$

b)

$d\ \parallel\ e$ ,

$If\ CO\ \angle's\ \cong,\ then\ lines\ \parallel$

c)

$d\ \parallel\ e$ ,

$If\ AI\ \angle's\ \cong,\ then\ lines\ \parallel$

d)

No lines parallel

59.

CONVERSE PROBLEM!

Determine which lines are parallel (if any) and decide if the converse statement is written correctly Only one is correct!

Given: $m\angle20\ +\ m\angle21\ =\ 180\degree$

a)

$a\ \parallel\ c$ ,

$If\ SSI\ \angle's\ SUPPL,\ then\ lines\ \parallel$

b)

$a\ \parallel\ b$ ,

$If\ SSE\ \angle's\ SUPPL,\ then\ lines\ \parallel$

c)

$a\ \parallel\ b$ ,

$If\ SSI\ \angle's\ SUPPL,\ then\ lines\ \parallel$

d)

No lines parallel

60.

CONVERSE PROBLEM!

Determine which lines are parallel (if any) and decide if the converse statement is written correctly Only one is correct!

Given: $\angle8\ \cong\ \angle19$

a)

$a\ \parallel\ d$ ,

$If\ VAT\ \angle's\ \cong,\ then\ lines\ \parallel$

b)

$a\ \parallel\ b$ ,

$If\ VAT\ \angle's\ \cong,\ then\ lines\ \parallel$

c)

$d\ \parallel\ e$ ,

$If\ AI\ \angle's\ \cong,\ then\ lines\ \parallel$

d)

No lines parallel

61.

Label the given statements in the proof.

a)

Answer for line 2

1.

Definition of Congruence

b)

Answer for line 3

2.

If lines \\, then SSI angles are suppl

c)

Answer for line 5

3.

Substitution

d)

Answer for line 6

4.

Definition of Suppl

e)

Answer for line 7

5.

If SSI angles are suppl, then lines \\

62.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

63.

What slope is parallel to:
m = 4

a)

4

b)

-1/4

c)

-4

d)

1/4

64.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

identical.

d)

always 7.

65.

What slope is parallel to:
m = 3/4

a)

4/3

b)

3/4

c)

-3/4

d)

-4/3

66.

What is the slope of a line perpendicular to -10/3

a)

-10/3

b)

10/3

c)

3/10

d)

-3/10

67.

Are the lines parallel, perpendicular, or neither?
y = 3x – 7
y = 3x + 1

a)

Parallel

b)

Perpendicular

c)

Neither

68.

Determine if the line segments are parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

69.

Determine if the line segments are parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

70.

Determine if the line segments are parallel, perpendicular, or neither.

a)

Parallel

b)

Perpendicular

c)

Neither

71.

$y=\frac{9}{2}x-4$ and $2x+9y=18$

a)

Parallel

b)

Perpendicular

c)

Neither

72.

$y=-\frac{2}{3}x-1$ and $-3x+2y=6$

a)

Parallel

b)

Perpendicular

c)

Neither

73.

$y=-\frac{5}{3}x+14$ and $-5x+3y=-9$

a)

Parallel

b)

Perpendicular

c)

Neither

74.

y=2x+1
y=2x+5

a)

Parallel

b)

Perpendicular

c)

Neither

75.

-6x + y = 2
6x + y = 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

76.

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

a)

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

b)

$y=-3x-\frac{1}{5}$

c)

$y=\frac{1}{5}x-3$

d)

$y=-\frac{1}{5}x-3$

e)

$y=\frac{1}{5}x+3$

77.

Write an equation of a line that passes through the point (5, -1) and is parallel to the line $y=-\frac{3}{5}x-3$

a)

$y=-\frac{3}{5}x+2$

b)

$y=-\frac{3}{5}x-2$

c)

$y=\frac{3}{5}x+2$

d)

$y=\frac{5}{3}x+2$

e)

$y=\frac{5}{3}x+8$

78.

Write an equation that is parallel to y = 2x + 5 and passes through the point (2, -1)

a)

y = 2x + 5

b)

y = 5/2 + 5x

c)

y = 2x - 5

d)

y = 2x - 1

e)

y = -1/2x - 1

79.

Write an equation that is parallel to

3x + 3y = 12 and passes through the point (3, 4)

a)

y = -x + 7

b)

y = -3 - x

c)

y = x + 1

d)

y = -x + 3

e)

y = x + 7

80.

Write an equation that is perpendicular to 4x – 3y = 6 and passes through the point (8, -3)

a)

y = -3/4x + 4

b)

y = -2x + 13

c)

y = -3/4x + 3

d)

y = -2x - 3

e)

y = -3/4x -3

Honors Chapter 3-4 Test

Total questions: 80

Worksheet time: 1hrs 20mins

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