location, location, location! - rcsdk8.org 10 skills...chapter 10 skills practice • 711 © 2011...

Chapter 10 Skills Practice • 711

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Location, Location, Location!Line Relationships

VocabularyWrite the term or terms from the box that best complete each statement.

intersecting lines perpendicular lines parallel lines

coplanar lines skew lines coincidental lines

1. Parallel lines are lines that lie in the same plane and do not intersect.

2. Intersecting lines are lines in a plane that cross or intersect each other.

3. Coincidental lines are lines that have equivalent linear equations and overlap at every point

when they are graphed.

4. Perpendicular lines are lines that intersect at a right angle.

5. Skew lines are lines that do not lie in the same plane.

6. Coplanar lines are lines that lie in the same plane.

Problem SetDescribe each sketch using the terms intersecting lines, perpendicular lines, parallel lines, coplanar

lines, skew lines, and coincidental lines. More than one term may apply.

1.

perpendicular lines, intersecting lines,

coplanar lines

2.

parallel lines, coplanar lines

Lesson 10.1 Skills Practice

Name _______________________________________________________Date _________________________

712 • Chapter 10 Skills Practice

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Lesson 10.1 Skills Practice page 2

3.

coplanar lines, intersecting lines

4.

coincidental lines, coplanar lines

5.

skew lines

6.

intersecting lines, coplanar lines

Sketch an example of each relationship.

Answers will vary.

7. parallel lines 8. coplanar lines


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Name _______________________________________________________Date _________________________

9. intersecting lines 10. perpendicular lines

11. coincidental lines 12. skew lines

Choose the description from the box that best describes each sketch.

Case 1: Two or more coplanar lines intersect at a single point.

Case 2: Two or more coplanar lines intersect at an infinite number of points.

Case 3: Two or more coplanar lines do not intersect.

Case 4: Two or more are not coplanar.

13.

Case 2

14.

Case 1


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15.

Case 3

16.

Case 1

17.

Case 4

18.

Case 3


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Name _______________________________________________________Date _________________________

Use the map to give an example of each relationship.

Mag

nolia

Driv

eCherry Street

Plum Street

Ivy Lane

ChestnutStreet

Nor

thD

aisy

Lane

Sou

thD

aisy

Lane

N

S

EW

19. intersecting lines

Answers will vary.

Ivy Lane and Plum Street

20. perpendicular lines

Answers will vary.

Magnolia Drive and Cherry Street

21. parallel lines

Answers will vary.

Cherry Street and Chestnut Street

22. skew lines

None. All streets are in the same plane.

23. coincidental lines

North Daisy Lane and South Daisy Lane

24. coplanar lines

Answers will vary.

All streets are in the same plane.


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When Lines Come TogetherAngle Relationships Formed by Two Intersecting Lines

VocabularyMatch each definition to its corresponding term.

1. Two adjacent angles that form a straight line

b. linear pair of angles

a. supplementary angles

2. Two angles whose sum is 180 degrees

a. supplementary angles

b. linear pair of angles

Problem SetSketch an example of each relationship.

Answers will vary.

1. congruent figures 2. congruent angles

30° 30°

3. adjacent angles 4. vertical angles

60°60°


Name ________________________________________________________ Date _________________________


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5. linear pair

140°

40°

6. supplementary angles

145°

35°

Use the map to give an example of each relationship.

Answers will vary.

13

21

23

119 1210 14

22

24

19 2015 16 17 18

31 2 4

75 86

Main Street

Franklin Drive

Fifth AveSixth Ave

Will

ow D

rive

7. congruent angles

3 and 4

8. vertical angles

2 and 5

9. supplementary angles

9 and 10

10. linear pair

11 and 12

11. adjacent angles

17 and 18

12. vertical angles

12 and 17


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Name ________________________________________________________ Date _________________________

Complete each sketch.

Answers may vary.

13. Draw 2 adjacent to 1.

1 2

14. Draw 2 such that it forms a vertical angle with 1.

1

2

15. Draw 2 such that it supplements 1 and does not share a common side.

155°25°

16. Draw 2 adjacent to 1.

12


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17. Draw 1 such that it forms a vertical angle with 2.

1

2

18. Draw 2 such that it forms a linear pair with 1.

1

2

Determine each unknown angle measure.

19. If 1 and 2 form a linear pair and m1 5 42°, what is m2?

m1 1 m2 5 180

42 1 x 5 180

x 5 138

m2 5 138°


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Name ________________________________________________________ Date _________________________

20. If 1 and 2 are supplementary angles and m1 5 101°, what is m2?

m1 1 m2 5 180

101 1 x 5 180

x 5 79

m2 5 79°

21. If 1 and 2 form a linear pair and m1 is one-fifth m2, what is the measure of each angle?

m1 1 m2 5 180

0.2x 1 x 5 180

1.2x 5 180

x 5 150 and 0.2x 5 0.2(150) 5 30

m2 5 150° and m1 5 30°

22. If 1 and 2 are supplementary angles and m1 is 60° less than m2, what is the measure of

each angle?

m1 1 m2 5 180

(x 2 60) 1 x 5 180

2x 5 240

x 5 120 and x 2 60 5 120 2 60 5 60

m2 5 120° and m1 5 60°


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23. If 1 and 2 form a linear pair and m1 is three times m2, what is the measure of each angle?

m1 1 m2 5 180

3x 1 x 5 180

4x 5 180

x 5 45 and 3x 5 3(45) 5 135

m2 5 45° and m1 5 135°

24. If 1 and 2 are supplementary angles and m1 is 12° more than m2, what is the measure of

each angle?

m1 1 m2 5 180

(x 1 12) 1 x 5 180

2x 5 168

x 5 84 and x 1 12 5 84 1 12 5 96

m2 5 84° and m1 5 96°


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Crisscross ApplesauceAngle Relationships Formed by Two Lines Intersected by a Transversal

VocabularyWrite the term from the box that best completes each sentence.

transversal alternate interior angles alternate exterior angles

same-side interior angles same-side exterior angles

1. Alternate exterior angles are pairs of angles formed when a third line (transversal)

intersects two other lines. These angles are on opposite sides of the transversal and are outside

the other two lines.

2. A transversal is a line that intersects two or more lines.

3. Same-side exterior angles are pairs of angles formed when a third line (transversal)

intersects two other lines. These angles are on the same side of the transversal and are outside

the other two lines.

4. Alternate interior angles are pairs of angles formed when a third line (transversal)

intersects two other lines. These angles are on opposite sides of the transversal and are in

between the other two lines.

5. Same-side interior angles are pairs of angles formed when a third line (transversal)

intersects two other lines. These angles are on the same side of the transversal and are in

between the other two lines.


Name ________________________________________________________ Date _________________________


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Problem SetSketch an example of each.

Answers will vary.

1. Transversal 2. Alternate interior angles

12

3. Alternate exterior angles

1 2

4. Same-side interior angles

12

5. Same-side exterior angles

1

2

6. Corresponding angles

12


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Name ________________________________________________________ Date _________________________

Use the map to give an example of each type of relationship.

Answers will vary.

1

23

5

4

67

9

8

10

11

23 24

25 26

27 28

29 30

19

222120

1516

1718

12

13 14

Taylor Ave

Hoo

ver

Ave

Wils

onA

ve

Roosevelt Ave

Monroe Dr

Polk Way

7. transversal

Hoover Ave. is a transversal that

intersects Monroe Dr. and Polk Way.

8. alternate interior angles

8 and 5

9. alternate exterior angles

11 and 18

10. same-side interior angles

12 and 15

11. same-side exterior angles

18 and 13

12. corresponding angles

24 and 28


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Complete each statement with congruent or supplementary.

13. The alternate interior angles formed when two parallel lines are intersected by a transversal

are congruent .

14. The same-side interior angles formed when two parallel lines are intersected by a transversal

are supplementary .

15. The alternate exterior angles formed when two parallel lines are intersected by a transversal

are congruent .

16. The same-side exterior angles formed when two parallel lines are intersected by a transversal

are supplementary .

Determine the measure of all the angles in each.

17.

152°152°

152°152°

28°

28°

28°28°

18.

4x°

x°36°

36°

36°

36°

144°

144°

144°

144°

x 1 4x 5 180

5x 5 180

x 5 36

4x 5 144


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Name ________________________________________________________ Date _________________________

19.

x°x° � 2080°

80° 100°

80°

100°

100°

80°100°

x 2 20 1 x 5 180

2x 2 20 5 180

2x 5 200

x 5 100

x 2 20 5 80

20.

75°�1

�2

�4�3

75° 75°75°

75°

105°105°

105°105°105°

105°105°

75°

75°

75°105°


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21. Solve for the value of x and y

given that ℓ1 ℓ2.

x°

y°

�1

�266°

66°66°

66°

66 1 90 1 y 5 180

y 5 24

66 1 90 1 x 5 180

x 5 24

22. Solve for the value of x given

that ℓ1 ℓ2.

x° 55°

125°

55°55°

�1 �2

110°

70°


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Parallel or Perpendicular?Slopes of Parallel and Perpendicular Lines

VocabularyDefine each term in your own words.

1. Reciprocal

When the product of two numbers is 1, the numbers are reciprocals of one another.

2. Negative reciprocal

When the product of two numbers is 21, the numbers are negative reciprocals of

one another.

Problem SetDetermine the slope of a line parallel to the given line represented by each equation.

1. y 5 6x 1 12

The slope of the line is 6, so the

slope of a line parallel to it is 6.

2. y 5 2 __ 3

x 2 5

The slope of the line is 2 __ 3 , so the

slope of a line parallel to it is 2 __ 3

.

3. y 5 8 2 5x



4. y 5 14 2 1 __ 4

x

The slope of the line is 21 __ 4

, so the

slope of a line parallel to it is 21 __ 4

.


Name ________________________________________________________ Date _________________________


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5. 3x 1 4y 5 24

3x 1 4y 5 24

4y 5 24 23x

y 5 6 2 3 __ 4

x


slope of a line parallel to it is 23 __ 4 .

6. 15x 2 5y 5 40

15x 2 5y 5 40

25y 5 40 215x

y 5 28 1 3x



Identify the slope of the line represented by each equation to determine which equations represent

parallel lines.

7. a. y 5 8x 2 5 b. y 5 7 2 8x c. y 5 4 1 8x

slope 5 8 slope 528 slope 5 8

The equations (a) and (c) represent parallel lines.

8. a. y 5 6 2 3x b. y 5 23x 2 8 c. y 5 3x 1 10

slope 523 slope 523 slope 53

The equations (a) and (b) represent parallel lines.

9. a. 5y 5 220x 2 45 b. 2y 5 4x 1 6 c. 4y 5 32 2 16x

5y 5220x 2 45 2y 54x 1 6 4y 532 2 16x

y 524x 2 9 y 52x 1 3 y 58 2 4x


The equations (a) and (c) represent parallel lines.


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Name ________________________________________________________ Date _________________________

10. a. 4y 5 4x 2 16 b. 2y 5 8 1 4x c. 3y 5 6x 1 18

4y 54x 2 16 2y 58 1 4x 3y 56x 1 18

y 5x 2 4 y 54 1 2x y 52x 1 6


The equations (b) and (c) represent parallel lines.

11. a. 3x 1 5y 5 60 b. 6x 1 10y 5 240 c. 15x 1 9y 5 18

3x 1 5y 5 60 6x 1 10y 5240 15x 1 9y 5 18

5y 523x 1 60 10y 526x 2 40 9y 5215x 1 18

y 52 3 __ 5 x 1 12 y 52 6 ___

10 x 2 4 y 52 15 ___

9 x 1 2

slope 52 3 __ 5 y 52 3 __

5 x 2 4 y 52 5 __

3 x 1 2

slope 52 3 __ 5

slope 52 5 __ 3

The equations (a) and (b) represent parallel lines.


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12. a. 2x 1 8y 5 24 b. 232x 1 4y 5 12 c. 240x 1 5y 5 10

2x 1 8y 5 24 232x 1 4y 512 240x 1 5y 5 10

8y 5x 1 24 4y 532x 1 12 5y 540x 1 10

y 5 1 __ 8 x 1 3 y 58x 1 3 y 58x 1 2

slope 5 1 __ 8 slope 58 slope 58

The equations (b) and (c) represent parallel lines.

Determine the negative reciprocal of each number.

13. 5

2 1 __ 5

14. 27

1 __ 7

15. 3 __ 4

2 4 __ 3

16. 2 5

__ 8

8 __ 5

17. 1 __ 7

27

18. 2 2 __ 5

5 __ 2


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Name ________________________________________________________ Date _________________________

Determine the slope of a line perpendicular to the given line represented by each equation.

19. y 5 13x 1 22

The slope of the line is 13, so the slope

of a line perpendicular to it is 2 1 ___ 13 .

20. y 5 5x 2 17

The slope of the line is 5, so the slope of

a line perpendicular to it is 2 1 __ 5

.

21. y 5 1 __ 6

x 1 4

The slope of the line is 1 __ 6

, so the

slope of a line perpendicular to it is 26.

22. y 5 9 2 1 __ 3

x

The slope of the line is 2 1 __ 3

, so the

slope of a line perpendicular to it is 3.

23. 5x 1 6y 5 36

5x 1 6y 5 36

6y 525x 1 36

y 52 5 __ 6 x 1 6

The slope of the line is 2 5 __ 6 , so the

slope of a line perpendicular to it is 6 __ 5

.

24. 4x 2 3y 5 21

4x 2 3y 5 21

23y 524x 1 21

y 5 4 __ 3

x 2 7


slope of a line perpendicular to it is 2 3 __ 4 .


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Identify the slope of the line represented by each equation to determine which equations represent

perpendicular lines.

25. a. y 5 2 __ 3

x 2 8 b. y 5 3 __ 2 x 2 1 c. y 5 2 3 __

2 x 1 14

slope 5 2 __ 3

slope 5 3 __ 2

slope 52 3 __ 2

The equations (a) and (c) represent perpendicular lines.

26. a. y 5 25x 2 23 b. y 5 18 1 1 __ 5

x c. y 5 5x 1 31

slope 525 slope 5 1 __ 5

slope 55

The equations (a) and (b) represent perpendicular lines.

27. a. 26y 5 24x 1 12 b. 2y 5 3x 1 8 c. 29y 5 6x 1 9

26y 524x 1 12 2y 53x 1 8 29y 56x 1 9

y 5 4 __ 6

x 2 2 y 5 3 __ 2

x 1 4 y 52 6 __ 9

x 2 1

y 5 2 __ 3

x 2 2 slope 5 3 __ 2

y 52 2 __ 3

x 2 1

slope 5 2 __ 3

slope 52 2 __ 3

The equations (b) and (c) represent perpendicular lines.


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Name ________________________________________________________ Date _________________________

28. a. 25y 5 25x 1 55 b. 5y 5 x 1 15 c. 4y 5 20x 2 24

25y 525x 1 55 5y 5x 1 15 4y 520x 2 24

y 525x 2 11 y 5 1 __ 5

x 1 3 y 55x 2 6


slope 55

The equations (a) and (b) represent perpendicular lines.

29. a. 26x 1 2y 5 20 b. 29x 2 3y 5 218 c. x 1 3y 5 15

26x 12y 5 20 29x 23y 5218 x 13y 5 15

2y 56x 1 20 23y 59x 2 18 3y 52x 1 15

y 53x 1 10 y 523x 1 6 y 52 1 __ 3

x 1 5

slope 53 slope 523 slope 52 1 __ 3

The equations (a) and (c) represent perpendicular lines.


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30. a. 3x 1 18y 5 272 b. 30x 1 5y 5 25 c. 22x 1 12y 5 224

3x 118y 5272 30x 15y 525 22x 112y 5224

18y 523x 2 72 5y 5230x 1 25 12y 52x 2 24

y 52 3 ___ 18 x 2 4 y 526x 1 5 y 5 2 ___ 12

x 2 2

y 52 1 __ 6

x 2 4 slope 526 y 5 1 __ 6

x 2 2

slope 52 1 __ 6

slope 5 1 __ 6

The equations (b) and (c) represent perpendicular lines.

Determine whether the lines described by the equations are parallel, perpendicular, or neither.

31. y 5 5x 1 8 y 5 4 1 5x

slope 5 5 slope 5 5

The slopes are equal, so the lines are parallel.

32. y 5 15 2 2x y 5 1 __ 2

x 1 17


The product of the slopes is 21, so the lines are perpendicular.

33. y 5 1 __ 3

x 1 5 y 5 3x 2 2

slope 5 1 __ 3

slope 5 3

The product of the slopes is not 21, and the slopes are not equal, so the lines are not parallel or

perpendicular.


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Name ________________________________________________________ Date _________________________

34. 3x 1 12y 5 24 220x 1 5y 5 40

3x 112y 5 24 220x 15y 5 40

12y 523x 1 24 5y 520x 1 40

y 52 3 ___ 12

x 1 2 y 54x 1 8

y 52 1 __ 4 x 1 2 slope 54

slope 52 1 __ 4

The product of the slopes is 21, so the lines are perpendicular.

35. 3x 1 2y 5 2 2x 1 3y 5 3

3x 12y 5 2 2x 13y 5 3

2y 523x 1 2 3y 522x 1 3

y 52 3 __ 2 x 1 1 y 52 2 __

3 x 1 1

slope 52 3 __ 2 slope 52 2 __

3

The product of the slopes is not 21, and the slopes are not equal, so the lines are neither

parallel nor perpendicular.


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36. 10y 5 6x 1 80 212x 1 20y 5 160

10y 56x 1 80 212x 120y 5 160

y 5 6 ___ 10

x 1 8 20y 512x 1 160

y 5 3 __ 5 x 1 8 y 5 12 ___

20 x 1 8

slope 5 3 __ 5 y 5 3 __

5 x 1 8

slope 5 3 __ 5

The slopes are equal, so the lines are parallel.


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Up, Down, and All AroundLine Transformations

VocabularyWrite a definition for the term in your own words.

1. Triangle Sum Theorem

The Triangle Sum Theorem states that the sum of the measures of the three interior angles of a

triangle is equal to 180°.

Problem SetSketch the translation for each line.

1. Vertically translate line AB 4 units to create line CD. Calculate the slope of each line to determine if

the lines are parallel.

A

B

C

D

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 3 2 1 ______ 6 2 2

5 2 __ 4

line CD: m 5 y2 2 y1 _______ x2 2 x1

5 7 2 5 ______ 6 2 2

5 2 __ 4

Line AB is parallel to line CD.


Name ________________________________________________________ Date _________________________


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2. Vertically translate line AB 28 units to create line CD. Calculate the slope of each line to determine

if the lines are parallel.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

B

D

C

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 8 2 5 ________ 3 2 (24)

5 3 __ 7

line CD: m 5 y2 2 y1 _______ x2 2 x1

5 0 2 (23)

________ 3 2 (24)

5 3 __ 7


3. Horizontally translate line AB 25 units to create line CD. Calculate the slope of each line to

determine if the lines are parallel.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8A

BD

C

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 2 2 (21)

________ 2 2 (23)

5 3 __ 5

line CD: m 5 y2 2 y1 _______ x2 2 x1

5 2 2 (21)

__________ 23 2 (28)

5 3 __ 5



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Name ________________________________________________________ Date _________________________



x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

BD

C

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 1 2 (25)

________ 1 2 (22)

5 6 __ 3

line CD: m 5 y2 2 y1 _______ x2 2 x1

5 1 2 (25)

________ 7 2 4

5 6 __ 3


5. Vertically translate line AB 7 units to create line CD. Calculate the slope of each line to determine if

the lines are parallel.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

B

D

C

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 24 2 1 ________ 2 2 (23)

5 25 ___ 5

line CD: m 5 y2 2 y1 _______ x2 2 x1

5 3 2 8 ________ 2 2 (23)

5 25 ___ 5



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x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

BD

C

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 24 2 1 ________ 1 2 (21)

5 25 ___ 2

line CD: m 5 y2 2 y1 _______ x2 2 x1

5 24 2 1 __________ 22 2 (24)

5 25 ___ 2


Sketch the rotation for each line.

7. Use point A as the point of rotation and rotate line AB 908 counterclockwise to form line AC.

Calculate the slope of each line to determine if the lines are perpendicular. Explain how you

determined your answer.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

C B

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 5 2 3 ______ 5 2 2

5 2 __ 3

line AC: m 5 y2 2 y1 _______ x2 2 x1

5 6 2 3 ______ 0 2 2

5 2 3 __ 2

Line AB is perpendicular to line AC because the slopes are negative reciprocals of each other.


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Name ________________________________________________________ Date _________________________

8. Use point B as the point of rotation and rotate line AB 908 clockwise to form line BC. Calculate the

slope of each line to determine if the lines are perpendicular. Explain how you determined your

answer.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8A

CB

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 4 2 0 ______ 3 2 1

5 4 __ 2

line BC: m 5 y2 2 y1 _______ x2 2 x1

5 4 2 6 ________ 3 2 (21)

5 22 __ 4

Line AB is perpendicular to line BC because the slopes are negative reciprocals of each other.

9. Use point A as the point of rotation and rotate line AB 908 counterclockwise to form line AC.



A

C

B

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 23 2 1 ________ 1 2 (24)

5 2 4 __ 5

line AC: m 5 y2 2 y1 _______ x2 2 x1

5 6 2 1 ________ 0 2 (24)

5 5 __ 4

Line AB is perpendicular to line AC because the slopes are negative reciprocals of

each other.


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10. Use point B as the point of rotation and rotate line AB 908 clockwise to form line BC. Calculate the


answer.

x

y

–8

–6

–4

2

4

6

8

–2–4 2 4 6–6–8 8

A

CB

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 22 2 3 __________ 21 2 (22)

5 2 5 __ 1

line BC: m 5 y2 2 y1 _______ x1 2 x1

5 22 2 (21)

__________ 21 2 4

5 1 __ 5


11. Use point A as the point of rotation and rotate line AB 908 clockwise to form line AC. Calculate the


answer.

A

C

B

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 6 2 2 __________ 21 2 (24)

5 4 __ 3

line AC: m 5 y2 2 y1 _______ x2 2 x1

5 21 2 2 ________ 0 2 (24)

5 2 3 __ 4

Line AB is perpendicular to line AC because the slopes are negative reciprocals of each other.


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Name ________________________________________________________ Date _________________________

12. Use point B as the point of rotation and rotate line AB 908 counterclockwise to form line BC.



x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

C

B

line AB: m 5 y2 2 y1 _______ x2 2 x1

5 23 2 3 _______ 5 2 1

5 2 6 __ 4

line BC: m 5 y2 2 y1 _______ x2 2 x1

5 23 2 (27)

__________ 5 2 (21)

5 4 __ 6


Reflect line segment AB over the reflection line to form line segment CD. Reflect line segment EF over

the reflection line to form line segment GH. Calculate the slopes of all line segments to prove that the

line segments are parallel.

13.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

B

C

D

E

F

G

H

slope of ___

AB 5 2 __ 5

slope of ___

EF 5 2 __ 5

___

AB ___

EF

slope of ___

CD 5 5 __ 2

slope of ____

GH 5 5 __ 2

___

CD ____

GH


© 2

011

Car

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e Le

arni

ng


14.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

AE

FB

C

DG

H

slope of ___

AB 52 6 __ 2

slope of ___

EF 52 6 __ 2

___

AB ___

EF

slope of ___

CD 52 2 __ 6

slope of ____

GH 52 2 __ 6

___

CD ____

GH

15.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

A

B

C

D

G

H

E

F

slope of ___

AB 52 2 __ 6

slope of ___

EF 52 2 __ 6

___

AB ___

EF

slope of ___

CD 52 6 __ 2

slope of ____

GH 52 6 __ 2

___

CD ____

GH

16.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

B

D

C

H

G

A

F

E

slope of ___

AB 5 2 __ 6

slope of ___

EF 5 2 __ 6

___

AB ___

EF

slope of ___

CD 5 6 __ 2

slope of ____

GH 5 6 __ 2

___

CD ____

GH


© 2

011

Car

negi

e Le

arni

ng


Name ________________________________________________________ Date _________________________

17.

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

B

C

G

D

H

AF

E

slope of ___

AB 52 3 __ 5

slope of ___

EF 52 3 __ 5

___

AB ___

EF

slope of ___

CD 52 5 __ 3

slope of ____

GH 52 5 __ 3

___

CD ____

GH

18.

B

C

D

G

H

A

F

E

x

y

–8

–6

–4

–2

2

4

6

8

–2–4 2 4 6–6–8 8

slope of ___

AB 5 5 __ 6

slope of ___

EF 5 5 __ 6

___

AB ___

EF

slope of ___

CD 5 6 __ 5

slope of ____

GH 5 6 __ 5

___

CD ____

GH

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