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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Parallel Lines and Transversals

Identify each pair of angles as corresponding, alternate interior, alternate exterior, or consecutive interior.

1)

y

x

corresponding

2)

y

x

alternate exterior

3)

y

x

corresponding

4)

y

x

consecutive interior

5)

y

x

alternate interior

6)

y

x

alternate exterior

7)

y

x

alternate interior

8)

y

x

alternate exterior

-1-

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9)

y

x

consecutive interior

10)

y

x

corresponding

Find the measure of each angle indicated.

11)

?

110°

110°

12)

84°

?

84°

13)

100°

?

80°

14)

?

111°

111°

15)

125°

?

125°

16)

?

47°

47°

17)

53°

?

53°

18)

?

113°

113°

-2-

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Solve for

x

.

19)

21

x

+ 6

4 20)

75°

11

x

− 2

7

21)

60°

8

x

− 4

8 22)

x

+ 139

132°

−7

23)

−1 + 14

x

12

x

+ 17

9 24)

23

x

− 5

21

x

+ 5

5

Find the measure of the angle indicated in bold.

25)

x

+ + + + 96969696

x

+ 96

90° 26)

20202020

x

+ + + + 5555

24

x

− 1

85°

27)

6666

x

5

x

+ 10

60° 28)

x

+ 109

x

+ + + + 89898989

80°

-3-

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Proving Lines Parallel

Find the measure of the indicated angle that makes lines u and v parallel.

1)

u

v

?

130°

130°

2)

u

v

128°

?

128°

3)

u

v

?

66°

66°

4)

u

v

80°

?

100°

5)

u

v

?

90°

6)

u

v

?

81°

81°

7)

u

v

?

53°

53°

8)

u

v

?

58°

58°

-1-

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9) u

v

130°

?

50° 10)

u

v

?

117°

63°

Find the value of

x

that makes lines u and v parallel.

11)

u

v

16

x

− 6

6 12)

u

v

12

x

− 4

10

x

+ 10

7

13)

u

v

105°

x

+ 112

−7 14)

u

v

19

x

− 4

110°

6

15)

u

v

130°

11

x

− 2

12 16)

u

v

7

x

+ 14

8

x

+ 6

8

Critical thinking questions:

17) For question #16, find a value of

x

thatmakes lines u and v intersect.

Any value other than 8. Ideally 0 ≤

x

≤ 10

18) Even if the lines in question #16 were not

parallel, could

x

= 25? Why or why not?

No, that would make the angles 189° and 206°.

-2-

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Angles in a Triangle

Find the measure of each angle indicated.

1)

57°

65° ?

58°

2)

40°

?

50°

3)

130°

20°

?

30°

4)

85°

50° ?

45°

5)

102°

137°

?

145°

6)

100°

35°

?

135°

7)

20°

30°

?

130°

8) 155°

60°

?

85°

-1-

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9)

40°20°

39° ?

21°

10)

60°

65°

35°

?

50°

70°

11) 86°

?

36°

84°

64°

12)

23°35°

27° ?

31°

13)

85°

115°

155°

?

85°

14)

35°20°

156° ?

31°

15)

60°

45°

100°

?

68°

137°

16)

75°

45°

68°

?

79°

109°

-2-

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Solve for

x

.

17)

54°

55°

x

+ 74

−3

18)

60°70°

8

x

+ 2

6

19)

64°

27°

97 +

x

−6

20)

60°80°

x

+ 51

−11

Find the measure of angle A.

21)

84°

x

+ 59

x

+ 51

A

44°

22)

x

+ 67

x

+ 37A

30°

23)

130°

8

x

+ 4

3

x

− 6A

30°

24)

80°

4

x

+ 17

x

+ 23

A

35°

-3-

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©P D2c0o1E14 XKPugt9aC iSbo9fwtew6aHrTeL GL7LCC8.g e 3Afljlu brBiSgxhvtrsK Rr7etsUeZr6v7eVdv.f G SMHaXdte0 bw6iTtfhP CIdnffoiZnaiztpeB xGxeKoVmWe9tgr8yJ.s Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________The Exterior Angle Theorem

Find the measure of each angle indicated.

1)

V

R

120°

50°?

U T

70°

2)

T

P

115°

50°

?

U

V

65°

3) U Y

50°

70° ?

T

S

120°

4)

R

P

25°

80°

?S

T

105°

5)

D

C T

140°

45°

?

E

95°

6) U

S

J

110°

80° ?

T

30°

7)

G

T

E 58°28°

?

F

86°

8)

Q

P

G

95°35°

?

R

130°

Solve for

x

.

9) R H

8 + 6

x

4

x

+ 2

30°

Q

P

12

-1-

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10)

U

A

11

x

+ 2

5

x

+ 10 58°T S

11

11)

B

W

18

x

+ 5

−1 + 8

x

46°C D

4

12)

CA Q

12

x

− 4

10

x

− 10

30°

B

12

13)

DA B

15

x

+ 5

22

x

+ 4120°

C

3

14) B VD

20

x

+ 5

9

x

− 2

40°

C

3

Find the measure of the angle indicated.

15) Find m∠S.

RJ

3

x

+ 4

8

x

+ 4140°

S

T

40°

16) Find m∠H.

F

D

14

x

+ 1

5

x

− 789°

G H

38°

17) Find m∠FAB.

C

A

F

13

x

− 3

3

x

+ 2

55°

B

75°

18) Find m∠YDC.

CD

Y

15

x

+ 5

6

x

+ 6

80°

B

140°

-2-

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©C f2n0o1R1m VKGuJtxa7 4SeoTfDtxwga5rheC 6LdLnCr.S r dAcltlq JrzimgChatgso IrKebsoeOr1vRe4dP.L n AM2aHdze6 cwaivtzhX sI3nXfBionyittxeN bAGllgLeCbIrEa1 z1o.4 Worksheet by Kuta Software LLC

Geometry Name___________________________________

Period____Date________________©a X2a0M1i1o oKGu0tHaX eSEo1fAt4wWaOrkew RL0LJCg.Z A 2ADlslQ ArQitgHhot7sL 3rae7sceNrIvVe4d1.6Equations - Parallel and Perpendicular LinesWrite the slope-intercept form of the equation of the line described.

1) through: (3, 0), parallel to

y

=

2

3

x

+ 1

y

=

2

3

x

− 2

2) through: (4, 1), parallel to

y

=

−1

2

x

+ 2

y

=

−1

2

x

+ 3

3) through: (−1, −1), parallel to

y

=

−2

x

− 4

y

=

−2

x

− 3

4) through: (−4, −5), parallel to

y

=

−2

x

− 5

y

=

−2

x

− 13

5) through: (−4, 3), parallel to

y

=

1

2

x

− 3

y

=

1

2

x

+ 5

6) through: (5, −5), parallel to

y

=

−3

2

x

+ 2

y

=

−3

2

x

+

5

2

7) through: (−5, 1), parallel to

y

=

−2

3

x

+ 2

y

=

−2

3

x

−

7

3

8) through: (−5, 4), parallel to

y

=

−6

7

x

+ 3

y

=

−6

7

x

−

2

7

-1-

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9) through: (5, −1), perp. to

y

=

1

3

x

+ 1

y

=

−3

x

+ 14

10) through: (5, −3), perp. to

y

=

x

y

=

−

x

+ 2

11) through: (−2, 2), perp. to

y

=

2

3

x

− 2

y

=

−3

2

x

− 1

12) through: (1, 3), perp. to

y

=

x

+ 5

y

=

−

x

+ 4

13) through: (−3, −1), perp. to

y

=

−1

2

x

+ 5

y

=

2

x

+ 5

14) through: (−5, −4), perp. to

y

=

−5

9

x

+ 4

y

=

9

5

x

+ 5

15) through: (3, 3), perp. to

y

=

−3

8

x

+ 4

y

=

8

3

x

− 5

16) through: (5, 4), perp. to

y

=

−8

x

y

=

1

8

x

+

27

8

-2-