1. The document contains a 28 question multiple choice test on geometry concepts including parallel and perpendicular lines, angles, triangles, slopes of lines, and writing equations of lines. 2. The questions cover identifying different types of angles based on diagrams, classifying triangles, finding missing angle measures, calculating slopes, writing equations of lines given slope and y-intercept, and writing equations of parallel lines. 3. Answers to each question are a single letter choice: a, b, c, or d.

1. 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 9
b. 6 and 9 d. none of these
____ 3. Which angles are consecutive interior angles?
a. 8 and 10 c. 4 and 12
b. 8 and 11 d. none of these
____ 4. Which angles are alternate exterior angles?
a. 4 and 16 c. 2 and 13
b. 4 and 15 d. none of these
5. ______ 5. Find m 5. 6. ______6. Find m 3.
r 7 135° r 7 147°
1 3 1 3
t 4 2 t 4 2
5 6 5 6
a. 45 b. 35 c. 135 d. 145 a. 147 b. 73.5 c. 33 d. None of
the Above
____ 7. Find m 4. The diagram is not to scale.
r 7 145°
1 3
t 4 2
5 6
a. 15 b. 145 c. 35 d. None of the Above

2. The diagram of airport runway ____8. How are
8. and related?
intersections shows two parallel a. corresponding angles c. same-side interior angles
runways. b. alternate interior angles d. none of these
9. ____9. How are and related?
a. alternate interior angles c. corresponding angles
b. same-side interior angles d. none of these
10. ____10. How are and related?
a. corresponding angles c. same-side interior angles
b. alternate interior angles d. none of these
11. ____11 .How are and related?
a. same-side interior angles c. corresponding angles
b. 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°
19°
56° x° z° y°
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.
72°
105° x°
a. 33 b. 162 c. 147 d. 75

3. ____ 16. Find the value of the variable. The diagram is not to scale.
114°
x° 47°
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 9
9
a. straight b. scalene c. isosceles d. equilateral
Use the diagram to the right for problems 19 – 21.
1 2
l
3 4
5 6
m
7 8
____ 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

4. ____ 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°
12°
60° x° z° y°
a. c.
b. d.
____ 24. Classify the triangle by its sides. The diagram is not to scale.
6 9
8
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.
47°
140° x°
a. 40 b. 87 c. 93 d. 137
____ 27. Find the value of the variable. The diagram is not to scale.

5. 120°
x° 47°
a. 60 b. 43 c. 23 d. 13
____ 28. Classify the triangle by its sides. The diagram is not to scale.
8 6
8
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 b. 2 c. 3 d. 2
− −
2 3 2 3
____ 30. (3, 5), (7, 2)
a. 4 b. 3 c. 3 d. 4
− −
3 4 4 3
____ 31. (1, 7), (10, 0)
a. 7 b. 9 c. 9 d. 7
− −
9 7 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.
4
____ 33. y= x–3
3
a. 4 b. 4 c. 3 d. 4
3; –3; ;3 ; –3
3 3 4 3
5
____ 34. y= x + 10
4
a. 5 b. 5 c. 5 d. 4
; 10 –10; 10; ; –10
4 4 4 5

6. Write an equation of a line with the given slope and y-intercept.
____ 35. m = 1, b = 4
a. y = 4x + 1 c. y = –1x + 4
b. y = x – 4 d. y = x + 4
1 3
____ 36. m = ,b=−
4 4
a. 3 c. 3 1
y = 4x – y=− x+
4 4 4
b. 1 3 d. 1 3
y= x– y= x+
4 4 4 4
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. 3 11 c. 3
y= x+ y = x – 12
4 2 4
b. 4 d. 4
y = x – 12 y = − x + 12
3 3