Name ___________________________________
Zita
Period _____________
GEOMETRY PREP REVIEW
Fall Final Exam
Chapters 4 and 5
Chapter 4 - Multiple Choice
1.
If ∆XYZ is isosceles and XY  YZ , which statement must be true?
A.
2.
B. Z  X
XY  XZ
B. 18
PQ
B.
D. 39
3. ______
C.
DE
D. EF
FD
∆ABC  ∆XYZ, AB = 38, YZ = 28, and XY = 5x + 8. Find the value of “x”.
A. 30
5.
C. 37
2. ______
If ∆PQR  ∆DEF, then RP is congruent to….
A.
4.
D. none of these
XZ  YZ
∆ABC is an isosceles triangle with vertex B, AB = 5x - 28, AC = 5x - 28, and
BC = 2x + 11. Find the length of the base.
A. 13
3.
C.
1. ______
B. 20
C. 6
4. ______
D. 4
Find the value of “x”.
A. 21
5. ______
B. 55
C. 84
D. 86
(4x + 2)°
31°
6.
(2x + 13)°
Name one additional pair of corresponding parts that need to be congruent in order
to prove that ∆FIG  ∆TOM by SAS.
A.
FG  MT
B. F  T
C.
IG  OM
6. ______
D. FI  OT
T
I
F
7.
If ∆ABC is isosceles and mB = mC, which statement must be true?
A. AC = AB
8.
O
M
G
C. AC  AB
B. BC = AB
7. ______
D. AC = BC
∆PQR is equiangular. RQ = 2x + 6 and QP = 5x - 9. Find the length of PR .
A. 13
Geometry
B. 16
C. 37
1
8. ______
D. 39
Review Sheet - Fall Final Exam
Chapters 4 and 5
9.
In ∆DEF, what is the side opposite E?
A.
B.
DE
9. ______
C.
EF
D. D
FD
10. In ∆XYZ, if mX = 90 and mY = mZ, then ∆XYZ is…
A. obtuse and isosceles
C. right and isosceles
10. ______
B. right and scalene
D. obtuse and scalene
11. Two angles of a triangle are 87° and 34°. What is the measure of the third angle?
A. 53
B. 59
C. 93
D. 121
12. If ∆XYZ  ∆DEF, then DE is congruent to…
A.
B.
XY
12. ______
C.
EF
D. FD
YZ
13. ∆GHI  ∆JKL, GH = 13, KL = 21, and JK = 4x - 15. Find the value of “x”.
A. 28
11. ______
B. 13
C. 9
13. ______
D. 7
Chapter 5 - Multiple Choice
14. ∆JBT  ∆MAR by:
14. ______
A. AAS
B. ASA
B
J
R
T
A
15. ∆BCD  ∆FGH by:
A. ASA
D. not 
C. SAS
B. AAS
M
15. ______
D. not 
C. HL
C
G
B
D
F
H
16. ∆VXW  ∆YXZ by:
A. HL
16. ______
B. SAS
W
Geometry
V
C. ASA
X
Y 2
D. AAS
Z
Review Sheet - Fall Final Exam
Chapters 4 and 5
17. These two triangles are congruent by:
A. SAS
17. ______
B. ASA
C. AAS
D. HL
18. These two triangles are congruent by:
A. AAS
18. ______
B. ASA
C. SAS
D. not 
19. These triangles are congruent by:
A. SAS
19. ______
B. ASA
C. AAS
D. HL
20. ∆DEF  ∆PQR. Find PR .
A. 73
20. ______
B. 5
C. 1
D
D. -5
P
FD = 2x + 3
PR = 4x + 1
F
21.
E
Q
R
NP is an altitude of ∆MNO. The mNPO = 8x + 10. Find the value of “x”.
A. 10
B. 90
C. 180
21. ______
D. 12.5
N
M
Geometry
O
P
3
Review Sheet - Fall Final Exam
Chapters 4 and 5
22.
PO is the perpendicular bisector of ∆MNO. Find the value of “x”.
A. 3
B. 13
22. ______
C. 6
O
D. 10
MP = 3x + 4
PN = 16 - x
M
23.
N
P
BR is a median of ∆ABS. Find “x” if AR = 5x + 2 and RS = 3x + 8.
A. 3
B. 2
23. ______
C. 17
D. -3
B
A
S
R
24. Find RS if RT is a median of ∆QRS.
A. 9
24. ______
B. 3
C. 31
D. 20
R
x + 11
Q
2x + 13
T
4x - 5
S
25. In ∆LKR, what is the longest side?
A. LR
25. ______
B. KR
L
C. LK
48°
47°
D. all sides congruent
K
85°
R
26. In ∆GLE, GL is the…
A. smallest side
26. ______
B. middle side
G
C. longest side
30°
87°
D. hypotenuse
L
63°
E
Geometry
4
Review Sheet - Fall Final Exam
Chapters 4 and 5
27. What is the largest angle in ∆BSR?
A. B
B
27. ______
B. S
C. R
D. they are all equal
20
9
S
11
R
28. The measures of 2 sides of a triangle are 5 and 8. Between what two numbers must the
measure of the 3rd side fall?
A. 0 and 13
B. -3 and 13
C. 3 and 13
D. 0 and 40
29. The measures of 2 sides of a triangle are 21 and 39. Between what two numbers must
the measure of the 3rd side fall?
A. 0 and 21
B. -18 and 60
C. 0 and 39
28. ______
29. ______
D. 18 and 60
Chapter 4 - Short Answer
30. Find the value of “x”.
30. x = __________
2x + 11
3x - 10
31. Find the value of “x”.
31. x = __________
(x - 3)°
44°
(2x + 1)°
Chapter 5 - Short Answer
32.
VR is a median of ∆MVP. MR = 3y - 4 and RP = 4y - 17. Find MP.
V
32. MP =__________
M
33.
P
R
MJ is an altitude of ∆TMJ. mT = (2x - 10)° and mJ = (3x + 40)°.
M
T
33. x = __________
mM = __________
mJ = __________
Geometry
5
J
Review Sheet - Fall Final Exam
Chapters 4 and 5
34. Name a median for ∆PQS.
34. __________
W
P
Q
R
T
S
35.
OT is a perpendicular bisector of ∆ACD. AR = 2x + 7 and RD = 4x - 5.
35. x = __________
C
AD = __________
O
•R
A
D
T
36. Determine whether it is possible to draw a triangle with sides measuring 5, 10, 15.
36. __________
37. Determine whether it is possible to draw a triangle with sides measuring 3, 3, 3.
37. __________
38. Write the conditional for: A line contains at least two points
39. Write the conditional for: Parallel lines do not intersect
40. Write the converse for: If two points lie in a plane, then the entire line containing
those two points lies in that plane.
41. Write the converse for: If two planes intersect, then their intersection is a line.
Geometry
6
Review Sheet - Fall Final Exam
Chapters 4 and 5