Free Printable Geometry: Topic 2 (Parallel & Perpendicular Lines)

1.

Slopes of parallel lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

2.

Slopes of perpendicular lines are...

a)

opposite reciprocals.

b)

opposites.

c)

the same.

d)

always 7.

3.

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

a)

Parallel

b)

Perpendicular

c)

Neither

d)

The same line

4.

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

a)

Parallel

b)

Perpendicular

c)

Neither

5.

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

a)

y = 1/5x - 3

b)

y= 5x - 7

c)

y = 5x + 4

d)

y = -5x - 3

6.

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

a)

y = 3/2x - 6

b)

y = 2/3x + 3

c)

y = -2/3x - 2

d)

y = -2/3x + 2

7.

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

a)

Parallel

b)

Perpendicular

c)

Neither

8.

What is the relationship of the angles?

a)

Corresponding angles

b)

Consecutive interior angles

c)

Alternate interior angles

d)

alternate exterior angles

9.

Which pair of angles are corresponding angles?

a)

$\angle$ 7 and $\angle$ 4

b)

$\angle$ 2 and $\angle$ 6

c)

$\angle$ 8 and $\angle$ 1

d)

$\angle$ 2 and $\angle$ 8

10.

Which of the following terms best describes the relationship between $\angle w\$ and $\angle x$ ?

a)

Corresponding angles

b)

Same-side interior angles

c)

Alternate interior angles

d)

Same-side exterior angles

11.

If $\angle2 = 63\degree$ , find the measure of $\angle1$ .

a)

$27\degree$

b)

$63\degree$

c)

$117\degree$

d)

$90\degree$

12.

Name the alternate interior angle to $\angle6$ .

a)

$\angle3$

b)

$\angle4$

c)

$\angle5$

d)

$\angle8$

13.

In the figure, parallel lines a and b are cut by the transversal c. Which pair of angles are equal?

a)

$\angle1$ and $\angle5$

b)

$\angle2$ and $\angle7$

c)

$\angle3$ and $\angle6$

d)

$\angle4$ and $\angle8$

14.

Find the value of x.

a)

20

b)

135

c)

31

d)

145

15.

What is the value of x?

a)

14

b)

16

c)

12

d)

18

16.

Solve for x.

a)

7

b)

-4

c)

8

d)

9

17.

The relation between angle a and h is called ___________

a)

alternate interior angle

b)

alternate exterior angle

c)

corresponding angle

d)

vertical angel

18.

b^o + d^o = _______________^o

a)

90

b)

240

c)

360

d)

180

19.

Vertical angles are always

a)

acute

b)

total 180 degrees

c)

congruent (equal measures)

d)

adjacent angles

20.

a)

x = 118

b)

x = 108

c)

x = 28

d)

x = 58

21.

Line l and m are cut by transversal n. Which statement proves that line l is parallel to line m?

a)

∠2 ≅ ∠3

b)

∠2 ≅ ∠6

c)

m∠7 + m∠8 = 180°

d)

m∠3 + m∠5 = 90°

22.

Which of the following relationship proves that j is parallel to k?

a)

∠3 and ∠4 are supplementary

b)

∠4 and ∠5 are supplementary

c)

∠1 ≅ ∠3

d)

∠2 ≅ ∠3

23.

Which value of x will show that lines l and m are parallel?

a)

20

b)

22

c)

24

d)

25

24.

Which value of x will show that line m is parallel to line r?

a)

33

b)

25

c)

24

d)

20

25.

Find the measure of the indicated angle.

a)

$135\degree$

b)

$55\degree$

c)

$45\degree$

d)

$60\degree$

26.

The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.

a)

45°

b)

90°

c)

180°

d)

360°

27.

Find the measure of the indicated angle.

a)

34

b)

46

c)

62

d)

36

28.

Solve for x

a)

28

b)

12

c)

10

d)

2

29.

What is the measure of $\angle4$ in the triangle shown?

a)

$22\degree$

b)

$148\degree$

c)

$32\degree$

d)

$117\degree$

30.

Which of the following angles are remote interior angles to angle d?

a)

Angle a and Angle b

b)

Angle b and Angle c

c)

Angle a and Angle c

d)

Angle a and Angle b and Angle c

31.

Find the value of x.

a)

A

b)

B

c)

C

d)

D

32.

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)

Alternate Interior Angles

33.

If $\angle1\cong\angle13$ , which pair of lines is parallel and for what reason?

a)

r || s by the corresponding angles converse.

b)

t || u by the corresponding angles converse

c)

t || u by the same side interior angles converse

d)

there is not enough information to determine any lines are parallel

34.

If $m\angle7\ +m\angle10\ =\ 180$ , which pair of lines is parallel and for what reason?

a)

r || s by the corresponding angles postulate.

b)

t || u by the same side interior angles converse.

c)

t || u by alternate interior angles converse.

d)

there is not enough information to determine any lines are parallel

35.

Find the values for x and y.

(Answers will be written x, y).

a)

62, 118

b)

9, 12

c)

12, 9

36.

Find the values of x and y.

(Answers will be written as x, y).

a)

14, 5

b)

124, 56

c)

5, 14

37.

Which could be used to prove the lines are parallel?

a)

Corresponding

b)

Alternate Interior

c)

Linear Pair

d)

Cannot be proved parallel

38.

Which value of x will show that line m is parallel to line r?

a)

33

b)

25

c)

24

d)

20

39.

Which of the following relationship proves that j is parallel to k?

a)

∠3 and ∠4 are supplementary

b)

∠4 and ∠5 are supplementary

c)

∠1 ≅ ∠3

d)

∠2 ≅ ∠3

40.

Line v is a transversal. Which is a true statement?

a)

w // x and x // y

b)

w // x and y // z

c)

w // y and x // z

d)

w // z and x // y

41.

If a // b and c // d in the figure below, then what is the value of x?

a)

47

b)

57

c)

133

d)

143

42.

Supply the first statement.

a)

m ll n

b)

< 4 = < 6

c)

Given

d)

Definition of parallel lines

43.

Supply the second reason.

a)

Linear Pair Postulate

b)

Alternate Interior Angles Theorem

c)

Vertical Angles Theorem

d)

Corresponding Angles Postulate

44.

Supply the third reason.

a)

Vertical Angle Theorem

b)

Corresponding Angles Postulate

c)

Alternate Interior Angles Postulate

d)

Same Side Interior Angles Theorem

45.

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

46.

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

47.

13) What is the reason for Statement 4?

a)

Substitution

b)

Converse of Alternate Exterior Angles Theorem

c)

Converse of Corresponding Angles Postulate

d)

Converse of Same-side Interior Angles Theorem

48.

Solve for the variable.

a)

x = 51

b)

x = 30.2

c)

x = 47.2

d)

x = 18.2

49.

Find the measure of angle 1.

a)

28^o

b)

136^o

c)

44^o

d)

6^o

50.

See Picture

a)

x = 25

b)

x = 35

c)

x = 30

d)

x = 20

51.

What reason is missing from this proof?

a)

Converse of Corresponding Angles Postulate

b)

Definitiion of Supplementary

c)

Converse of Alternate Exterior Angle Postulate

d)

Angles forming a Linear Pair Sum to 180

52.

Which of the following relationship proves that j is parallel to k?

a)

∠3 and ∠4 are supplementary

b)

∠4 and ∠5 are supplementary

c)

∠1 ≅ ∠3

d)

∠2 ≅ ∠3

53.

Which condition will prove that line l is parallel to line m?

a)

∠1 ≅ ∠3

b)

∠3 ≅ ∠5

c)

∠1 ≅ ∠6

d)

∠6 ≅ ∠5

54.

What is the reason for Statement 4 to complete the proof?

a)

Converse of Corresponding Angles Postulate

b)

Transitive Property of Congruence

c)

Substitution

d)

Algebra

55.

Q1. What is the definition of supplementary angles?

a)

A) Def of S S IntAngles

b)

B) S S Int Angle Thm

c)

C) Linear Pair Postulate

d)

D) S S Int Angle Converse

56.

a)

Def of Alt Ext Angles

b)

Alt Ext Angle Thm

c)

Alt Ext Angle Convese

d)

Alt Int Angle Thm

57.

a)

Def of Corr Angles

b)

Corr Angle Postulate

c)

Corr Angle Convese

d)

S-S Int Thm

58.

Solve for x.

a)

71

b)

-3

c)

35

d)

-19

59.

What is the measure of angle b?

a)

36^o

b)

56^o

c)

63^o

d)

117^o

60.

Find the vaule of y

a)

19

b)

27

c)

39

d)

15

61.

$Given\ \angle10\ and\ \angle11$ are supplementary, which lines, if any, are parallel? Explain.

a)

a||b, corresponding angles converse

b)

c||d, consecutive exterior angles converse

c)

a||b, same side interior angles converse

d)

c||d, same side interior angles converse

e)

Not Parallel

62.

$Given\ \angle14\ and\ \angle16$ are congruent, which lines, if any, are parallel? Explain.

a)

a||b, corresponding angles converse

b)

c||d, corresponding angles converse

c)

c||d, vertical angle converse

d)

Not Parallel

63.

$Given\ \angle4\cong\angle15,\$ which lines, if any, are parallel? Explain.

a)

a||b, alternate interior angles converse

b)

a||b, alternate exterior angles converse

c)

c||d, alternate interior angles converse

d)

c||d, alternate interior angles converse

e)

Not Parallel

64.

Find the value of x that makes lines u and v parallel.

a)

11

b)

-11

c)

-4

d)

-3

65.

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

66.

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

67.

Write an equation of a line that passes through the point (7,10) and is perpendicular to the line y = (1/2)x - 9

a)

y = -2x - 24

b)

y = -2x + 12

c)

y = -2x + 24

d)

y = (1/2)x - 12

68.

Find the distance between (-3, -11) and (8, -42).

a)

32.1

b)

32.3

c)

32.7

d)

32.9

69.

Find the distance between J and K.

a)

8.2

b)

7.7

c)

9

d)

10.2

70.

a)

y=-3x+1

b)

y=3x+1

c)

y=1/3x+1

d)

y=-1/3x-1

71.

a)

y=-4x-12

b)

y=4x+12

c)

y=-4x+12

d)

y=-4x+3

72.

Identify the form of the following linear equation:

5x + 3y = 15

a)

Standard Form

b)

Slope - Intercept Form

c)

Neither

Geometry: Topic 2 (Parallel & Perpendicular Lines)

Total questions: 72

Worksheet time: 3hrs 19mins

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