Free Printable Properties, Parallel and Perpendicular Lines

Worksheets

Properties, Parallel and Perpendicular Lines

Total questions: 66

Worksheet time: 6hrs 30mins

Name

Class

Date

What does "m" represent in y=mx+b?

y-intercept

slope

measurements

nothing

What does 'b" represent in y=mx+b

y-intercept

base

nothing

slope

Slopes of parallel lines are...

opposite reciprocals.

opposites.

the same.

always 7.

Slopes of perpendicular lines are...

opposite reciprocals.

opposites.

the same.

always 7.

y = 3x +2
y = 3x - 3
These lines are...

Parallel

Perpendicular

Neither

The same line

y = -2/3x + 2
y = 3/2x + 9
These lines are...

Parallel

Perpendicular

Neither

Which of the following lines goes through the point (0, 4) and is parallel to y = 5x - 3?

y = 1/5x - 3

y= 5x - 7

y = 5x + 4

y = -5x - 3

Which of the following lines goes through the point (-3, 4) and is perpendicular to y = 3/2x + 6?

y = 3/2x - 6

y = 2/3x + 3

y = -2/3x - 2

y = -2/3x + 2

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

Parallel

Perpendicular

Neither

10.

Write the equation of a line PERPENDICULAR to the line y = 3x + 2 that passes through the point (9, -2)

y = -1/3x - 5

y = 3x-29

y = 1/3x -5

y = -1/3x +1

11.

Write the equation of the line PARALLEL to the line y = 4x - 9 that passes through the point (-2, 4)

y = 4x + 12

y = -4x -4

y = -1/4x + 5/2

12.

If the lines are parallel to each other and the slope of the blue line is 1/4, what is the slope of the purple line?

-4

$-\frac{1}{4}$

$\frac{1}{4}$

13.

If the lines are perpendicular to each other and the slope of the blue line is $\frac{1}{2}$ , what is the slope of the purple line?

-2

$-\frac{1}{2}$

$\frac{1}{2}$

14.

Choose the linear equation that is parallel to the following line

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

$y=-\frac{1}{4}x+5$

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

$y=-4x-1$

$y=4x-1$

15.

Choose the linear equation that is perpendicular to the following line

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

$y=-\frac{1}{4}x+5$

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

$y=-4x-1$

$y=4x-3$

16.

What is the slope of line KH if H(-4, 2) and K(2, -2)? Remember to reduce!

-3/2

-2/3

2/3

3/2

17.

What is the slope of the graphed line?

(a)

18.

What slope is parallel to:
m = 3/4

4/3

3/4

-3/4

-4/3

19.

What slope is perpendicular to:
m = 5/8

-5/8

5/8

-8/5

8/5

20.

y = 5/7x +2
y = 5/7x - 30
These lines are...

Parallel

Perpendicular

Neither

21.

What is the slope in the equation: y=4x+3

22.

Determine the slope and y-intercept from the following equation: 2y = 3x + 6

m: 2/3 b: (0,3)

m: 3/2 b: (0,3)

m: 4 b: (0,3/2)

m: 1/5 b: (0,5)

23.

Identify the property:

10 + 0 = 10

Inverse Property

Commutative Property

Associative Property

Identity Property

24.

Identify the property:

6 + (21 + 3) = (6 + 21) + 3

Commutative Property

Distributive Property

Inverse Property

Associative Property

25.

9 ^_x 2 = 2 ^_x 9

Commutative Property

Associative Property

Inverse Property

Distributive Property

26.

Which property is used in the following?

7(8 + 2) = 7 _^x 8 + 7 _^x 2

Associative Property

Commutative Property

Distributive Property

None of the above

27.

Identify the property:

39 = 39

Reflexive

Symmetric

Transitive

Substitution

28.

Identify the property:

If 31 = 2x - 5, then 2x - 5 = 31

Reflexive

Symmetric

Transitive

Substitution

29.

"A" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

30.

"B" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

31.

"C" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

32.

"D" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

33.

"E" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

34.

"F" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

35.

"G" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

36.

"H" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

37.

"I" matches with which property?

Choose the correct answer choice.

Answer choices:

1. Commutative Property

2. Associative Property

3. Identity Property

4. Inverse Property

5. Property of Zero

6. Distributive Property

7. Reflexive Property

8. Symmetric Property

9. Transitive Property

38.

$a\times b=b\times a$

Distributive property

Associative Property

Commutative Property

Identity Property

39.

Name the Property that the statement illustrates:

If x=y then 3x=3y

multiplication property

addition property

reflexive property

symmetric property

40.

Name the Property that the statement illustrates:

If AB=21 and DC=21 then AB=DC

Substitution Property

Reflexive Property

Symmetric Property

Subtraction Property

41.

Name the Property that the statement illustrates:

If KL=OP then OP=KL

Symmetric Property

Reflexive Property

Substitution Property

Transitive Property

42.

Name the Property that the statement illustrates:

If BC=XY and XY=10 then BC=10

Transitive Property

Substitution Property

Reflexive Property

Symmetric Property

43.

Complete the statement using the substitution property:

If DC=10, then DC+FG = ______

10 + FG

2*FG

44.

Complete the statement using the symmetric property:

If KL=RT then _____

RT=KL

KL=KL

4KL=4RT

KL+C=RT+C

45.

Complete the statement using the addition property:

If AB=CD then AB+EF=_____

CD+EF

AB+CD

CD-AB

AB+EF

46.

Complete the statement using the Transitive Property:

If JK=FG and FG=NM then ____

JK=NM

FG=FG

JK+FG=NM+FG

JK-FG=NM-FG

47.

Complete the statement using the Reflexive Property:

∠CDF = _________

∠CDF

90°

∠DCF

180º

48.

Substitution Property of Equality

Addition Property of Equality

Symmetric Property of Equality

Angle Addition Postulate

49.

Reflexive Property of Equality

Division Property of Equality

Transitive Property of Equality

Subtraction Property of Equality

50.

Addition Property of Equality

Segment Addition Postulate

Symmetric Property of Equality

Distributive Property of Equality

51.

Addition Property of Equality

Segment Addition Postulate

Transitive Property of Equality

Substitution Property of Equality

52.

What is the justification?

Symmetric Prop.

Angle addition postulate

Reflexive Prop

Transitive Prop.

53.

addition POE

angle addition POE

subtraction POE

substitution POE

54.

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

Definition of Congruent Angles

Substitution

Transitive Property

Given

55.

If M is the midpoint of AB, then AM = MB

Addition POE

Def. of Midpoint

Reflexive POE

Symmetric

56.

What is the missing statement in the proof?

Addition p.o.e

Segment Addition Postulate

Substitution p.o.e

Transitive p.o.e

57.

What is the REASON for Statement #6?

Addition Property of Equality

Subtraction Property of Equality

Multiplication Property of Equality

Division Property of Equality

58.

Which property is shown below?
__________________________
7n = 21 then n = 3

Division Property

Sorcery

Reduction of Multiples

Distributive Property

59.

If 2x - 5 = 10, then 2x = 15.

Subtraction Property of Equality

Addition Property of Equality

Division Property of Equality

Substitution

60.

If 3x + 4x - 5 = 10, then 7x - 5 = 10

Addition Property of Equality

CLT or Simplify

Subtraction Property of Equality

Transitive Property of Equality

61.

Find HG

62.

JM = 5

JM = 10

JM = 12

JM = 24

63.

Select every true statement below.

BC = 10 ft.

AD = 36 ft.

BE = 10 ft.

DE = 36 ft.

64.

What is the midpoint between (-4,4) and (-2,2)?

(3,2)

(-3,3)

(4,5)

(6,7)

65.

Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)

(0, -1)

(6, 1)

(1, 6)

(0, 1)

66.

Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)

(-1, 13)

(13, 1)

(13, -1)

(5, 13)

Reset

Properties, Parallel and Perpendicular Lines

Total questions: 66

Worksheet time: 6hrs 30mins

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