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NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 3 Test, Form 2D
SCORE ______________
For Questions 1 and 2, refer to the figure.
1. Identify the intersection of plane ABD and plane CDE.
1.______________________
2. Name a segment skew to
2. ______________________
.
Identify each pair of angles as
alternate interior, alternate exterior,
corresponding, or consecutive interior
angles.
3. ∠ 5 and ∠ 13
3. ______________________
4. ∠ 7 and ∠ 12
4. ______________________
5. ∠ 9 and ∠ 16
5. ______________________
6. Given a ║ b and m∠ 6 = 89, find m∠ 10.
6. ______________________
7. Find the values of x and y given a ║ b, m∠ 8 = 4x + 10, m∠ 12 = 7x – 17, and
m∠ 11 = 3y.
7. ______________________
Determine the slope of the line that contains the given points.
8. P(–5, 11), R(5, 7)
8. ______________________
9. B(7, –1), G(14, 0)
9. ______________________
10. U(–6, 9), V(–3, 8)
10. ______________________
For Questions 11-13, determine whether
perpendicular, or neither.
and
are parallel,
11. B(1, –4), T(5, 12), M(–8, 3), V(–4, 2)
11. ______________________
12. B(–5, –7), T(10, 17), M(–5, –10), V(5, 6)
12. ______________________
13. B(3, –5), T(5, –1), M(–2, 6), V(4, 3)
13. ______________________
14. A job hotline service charges $25 plus a 4% commission, c, on the first
month of earnings if it finds work for a client. Write an equation that
represents the total cost, T, to find a job through the hotline. What is the cost
if a client earns $1500 the first month?
Chapter 3
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14. ______________________
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Chapter 3 Test, Form 2D (continued)
Write an equation in slope-intercept form for the line that satisfies the given conditions.
15. m = 7, y-intercept = –8
15. ______________________
16. m = –4, passes through (–4, 8)
16. ______________________
17. x-intercept is –5, y-intercept is 2
17. ______________________
18. Tanya joined Alphaville Motors as a car salesperson in 1998. The number of
cars she sold increased at an average rate of 25 cars per year between 1998 and
2001. In 2001 she sold a total of 237 cars. If the number of cars Tanya sells
continues to increase at the same rate, how many cars will she sell in 2007?
18. ______________________
Given the following information, determine
which lines, if any, are parallel. State the
postulate or theorem that justifies your answer.
19. ∠ QSR ≅ ∠ SUT
19. ______________________
20. ∠ 1 ≅ ∠ 2
20. ______________________
21. m∠ RTU + m∠ TUS = 180
21. ______________________
22. Find the value of x so that p ║ q.
22. ______________________
23. ______________________
24. ______________________
Find the distance between each pair of parallel lines.
23. y = 3x – 1 and y = 3x – 11
24. y = –5x and y = –5x + 26
25. Construct a line perpendicular to ℓ through Q(2, 3). Then find the distance from
Q to ℓ.
25. ______________________
Bonus Draw and label a figure you could use to prove the theorem If two lines in
a plane are cut by a transversal so that a pair of alternate interior angles
is congruent, then the lines are parallel. State the given and the statement
to be proved.
B: ______________________
Chapter 3
58
Glencoe Geometry