Tech I - Chapter 3 Test

Use the following diagram for problems 1 -4.

____ 1. Which angles are corresponding angles?a. c.b. d. none of these

____ 2. Which angles are alternate interior angles?a. 2 and 10 c. 5 and 9b. 6 and 9 d. none of these

____ 3. Which angles are consecutive interior angles?a. 8 and 10 c. 4 and 12b. 8 and 11 d. none of these

____ 4. Which angles are alternate exterior angles?a. 4 and 16 c. 2 and 13b. 4 and 15 d. none of these

5. ______ 5. Find m 5.

r

t

7

1 3

2

65

4

135°

a. 45 b. 35 c. 135 d. 145

6. ______6. Find m 3.

r

t

7

1 3

2

65

4

147°

a. 147 b. 73.5 c. 33 d. None of the Above

____ 7. Find m 4. The diagram is not to scale.

r

t

7

1 3

2

65

4

145°

a. 15 b. 145 c. 35 d. None of the Above

The diagram of airport runway intersections shows two parallel

runways.

8. ____8. How are and related?a. corresponding angles c. same-side interior anglesb. alternate interior angles d. none of these

9. ____9. How are and related?a. alternate interior angles c. corresponding anglesb. same-side interior angles d. none of these

10. ____10. How are and related?a. corresponding angles c. same-side interior anglesb. alternate interior angles d. none of these

11. ____11 .How are and related?a. same-side interior angles c. corresponding anglesb. alternate interior angles d. none of these

____ 12. Find the value of k. The diagram is not to scale.

62°

45° k °

a. 17 b. 73 c. 118 d. 107

____ 13. Find the values of x, y, and z. The diagram is not to scale.

38°

56°

19°

x° y°z °

a. c.b. d.

____ 14. Classify ABC by its angles, when m A = 32, m B = 85, and m C = 63.a. right b. straight c. obtuse d. acute

____ 15. Find the value of x. The diagram is not to scale.

105°

72°

x°

a. 33 b. 162 c. 147 d. 75

____ 16. Find the value of the variable. The diagram is not to scale.

114°

47°x°

a. 66 b. 19 c. 29 d. 43

____ 17. Find the sum of the measures of the angles of the figure.

a. 540 b. 180 c. 360 d. 900

____ 18. Classify the triangle by its sides. The diagram is not to scale.

9

99

a. straight b. scalene c. isosceles d. equilateral

Use the diagram to the right for problems 19 – 21.

1 2

3 4

5 6

7 8

l

m

____ 19. Find x. and

a. 1 b. 2 c. 3 d. –2

____ 20. Find x. and

a. –9 b. 8 c. 4.5 d. 13

____ 21. Find x. and

a. 8 b. 9 c. 10 d. 11

____ 22. Find the value of k. The diagram is not to scale.

59°

40° k °

a. 121 b. 81 c. 19 d. 99

____ 23. Find the values of x, y, and z. The diagram is not to scale.

36°

60°

12°

x° y°z °

a. c.b. d.

____ 24. Classify the triangle by its sides. The diagram is not to scale.

8

96

a. straight b. scalene c. equilateral d. isosceles

____ 25. Classify ABC by its angles, when m A = 42, m B = 90, and m C = 48.a. straight b. acute c. right d. obtuse

____ 26. Find the value of x. The diagram is not to scale.

140°

47°

x°

a. 40 b. 87 c. 93 d. 137

____ 27. Find the value of the variable. The diagram is not to scale.

120°

47°x°

a. 60 b. 43 c. 23 d. 13

____ 28. Classify the triangle by its sides. The diagram is not to scale.

8

68

a. isosceles b. straight c. equilateral d. scalene

Find the slope of the line that passes through the pair of points.

____ 29. (1, 7), (10, 1)a. 3

2b.

23

c. 3

2d. 2

3

____ 30. (3, 5), (7, 2)a.

43

b. 3

4c. 3

4d. 4

3

____ 31. (1, 7), (10, 0)a. 7

9b. 9

7c.

97

d. 7

9

____ 32. A student finds the slope of the line between (14, 1) and (18, 17). She writes . What mistake did she

make?a. She should have added the values, not subtracted them.b. She used y-values where she should have used x-values.c. She mixed up the x- and y-values.d. She did not keep the order of the points the same in numerator and the denominator.

Find the slope and y-intercept of the line.

____ 33. y = 43

x – 3

a.3;

43

b.–3;

43

c. 34

; 3d. 4

3; –3

____ 34. y = 54

x + 10

a. 54

; 10b.

–10; 54

c.10;

54

d. 45

; –10

Write an equation of a line with the given slope and y-intercept.

____ 35. m = 1, b = 4a. y = 4x + 1 c. y = –1x + 4b. y = x – 4 d. y = x + 4

____ 36. m = 14

, b = 34

a.y = 4x –

34

c.y = 3

4x +

14

b.y =

14

x – 34

d.y =

14

x + 34

Write an equation for the line that is parallel to the given line and that passes through the given point.

____ 37. m = 3/4; (–8, –18)a.

y = 34

x 112

c.y =

34

x – 12

b.y =

43

x – 12d.

y = 43

x + 12