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NAME _____________________________________________ DATE ____________________________
Geometry Honors
Review: Chapter 3
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 ̅̅̅̅
𝐵𝐶 .
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. ______________________
⃡ and 𝑴𝑽
⃡ are parallel,
For Questions 11-13, determine whether 𝑩𝑻
perpendicular, or neither.
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?
14. ______________________
Write an equation in slope-intercept form for the line that satisfies the given conditions.
15. m = 7, y-intercept = –8
16. m = –4, passes through (–4, 8)
17. x-intercept is –5, y-intercept is 2
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?
Given the following information, determine which lines, if any, are parallel. State
the postulate or theorem that justifies your answer.
19. ∠ QSR ≅ ∠ SUT
20. ∠ 1 ≅ ∠ 2
21. m∠ RTU + m∠ TUS = 180
22. Find the value of x so that p ║ q.
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.
26.
28.
27. Which lines (if any) are parallel?
29.
30.
31.
32.
33. Find x & y
ANSWERS:
27. GB FC
31. a. y 
3
185
x
4
4
b. bec you’re given the slope
and a point on the line
32. a. 64; 32; 32 b. More info needed
33. x = 30; y = 5