Geometry Honors Chapter 3 Review
Name ________________ Period ________
Refer to the figure below. State the name of the transversal that forms each angle pair. Then identify the special
angle pair.
1.
5 &7 ___________________
2.
 4 &  8 _________________
l
m
n
3
1
2
4
3.  2 & 10 ________________
5
6
7
8
9
13
14
q
10
4.
12
 2 &  8 _____________________
AB  CE and CD bisects ACE, and m1 = 125. Find the measure of each
In the figure below, lm,
angle:
5.
11
m2 = ____________
6.
m 4= ___________
7.
m 11 = ___________
D
B
E
8
7
6
15
14
3
4
5
12 13
l
10
1
2
A
8.
9
11
m
C
m 5 = _____________
Find the values of x and y;
9.
x = ________
62
6x - 2
y + 3
10. y = _________
Find the values of x and y.
58
11. x= __________
5x + 3
12. y= __________
100
3y + 4
For #’s 13 & 14, find the values of x so that p || q. Then state the theorem or postulate that justifies your answer.
13.
14.
2x + 7
p
103
2x - 3
p
q
q
13. ________________________________________
135
14._________________________________
True or False:
15. Two lines that are not parallel must intersect.
15. _________
16. An isosceles triangle has exactly two congruent sides.
16. _________
17. An obtuse triangle has 2 obtuse angles.
17. _________
18. The exterior angles of an acute triangle are also acute.
18. _________
19. The acute angles of a right triangle are complementary.
19. ________
3
For questions 20 and 21
2
20. ________
1
4
4 4
20. If m 2 = 35, find the measure of angle 1.
21. If the measure of angle 4 = 50, find the measure of angle 3.
21. _________
Use the diagram below to find x and y for numbers 22 & 23.
22. x = _________
20
50
35
y
23. y = __________
x
Use the diagram below to find x and y for numbers 24 & 25.
24. x = ___________
y
x
25. y = ___________
55
135
The measure of the largest angle in a triangle is three times the measure of the smallest angle and two more than the
third angle. Find the measures of each angle of the triangle.
26. ___________
27. ___________
28. ______________
29. Find the measure of one interior angle of a regular decagon.
29. _________________
30. The sum of the measures of the exterior angles of a 22-gon is
30. _____________
31. If the measure of one interior angle of a regular polygon is
150, find the number of sides in the polygon.
31. __________
160
32. Find x
32. ______________
x
150
33. Find x
60
x
x
33. ______________
x
34. One year Sandra planted roses near the east side of her yard and they grew very well. The next year she added a
hibiscus bush and it grew very well. The third year she planted tulips and they were beautiful. Sandra concluded
that flowers grew well near the east side of her yard. Is this an example of inductive or deductive reasoning?
34. ________________
35. Name a pair of complementary angles _____________________
W
X
T
36) Name two perpendicular rays_________________________
37) Name a pair of vertical angles _______________________
38)
Complete: m PQW + mWQR = ____________________
P
Q
R
S
39) Name an adjacent supplementary angle to WQT ___________________
Use for questions 35 - 39
40. C and D are supplementary. Find x if C = x + 8 and D = 3x + 12
A
41. Name the definition, postulate, or theorem that justifies the statement.
1 2
A) If AD bisects BAC, then m1 = ½ mBAC.
____________________________________________
B
C
D
B) m1 + m2 = mBAC
Use for question 41
____________________________________________
42. The measure of the supplement of an angle is 12 more than twice the measure of the angle.
Find the measure of the angle and its supplement.
43. E is the midpoint of AB .
55
AE = 4w + 13 and EB = 9w – 7.
Find w.
A
D
•
E
B
C
Use for questions 43 & 44
44. If CE = x
ED = x – 6
and CD = 18.
Find x.
45. If B is between A and C, find AB given that AB = 3x, BC = 14 – x, and AC = 5x – 1.
46. If AB = 3x – 5, BC = x +2 and AC = 13, then
find AB.
D
2
1
A
47. If m 1 = 5y + 7 and m 2 = 7y + 17, then find m2.
b) mST
c) ST
d) ST
e) ST
C
Use for questions 46 & 47
48. Which of the following represents length of a segment with endpoints S and T?
a) ST
B