Geometry Final Review
A. Terminology matching – 1 to 1 (no extra terms). Review terms from section 2.1 and 2.2
handouts, as well as terms in your notes that were highlighted throughout the year.
B. Angles and angle measures related to parallel lines. Given: l m
1 2
5 6
3 4
7 8
9 10
13 14
11 12
15 16
l
m
List a pair of : 1. Corresponding angles_____________________________
2. Alternate interior angles___________________________
3. Alternate exterior angles___________________________
4. Interior angles on the same side of the transversal___________________
5. Vertical angles__________________________
Given > 3 = 58  and > 6 = 110  , find the measures of:
6. > 9 ________________________
7. > 10________________________
8. > 11________________________
9. > 16_________________________
C. Finding angle measure.
10.
Find the measure of each angle.
(4x+6) 
(3x) 
11.
Find the measure of each angle.
(3x+4) 
(2x+9) 
12. Find the sum of the measures of the vertex angles of a regular 10-gon.
13. Find the measure of a vertex angle of a regular 15-gon.
65 
14.
Find the measures of the missing angles.
?
?
15.
Find the measure of angle x.
50 
70 
x
D. Finding the lengths of the missing sides. Round to hundredths if needed.
16.
x
12 m
30 
y
17.
5 2 ft
x
y
18.
Find the length of the diagonal of the square.
5”
19.
Find the length of the altitude.
10 cm
20. Find the indicated lengths and angle measures. Given isosceles triangle EFG, and FH is the
perpendicular bisector of EG . If EH = 10 cm , EF = 21cm and EFH = 28
a. How long is EG ?
F
b. How long if FH ?
c. What is the measure of FEH ?
E
E.
H
G
Identity if triangles are congruent or not, and be able to prove 2 triangles are congruent.
21. Name the different ways to prove that triangles are congruent.
22. Are the following triangles congruent? If so, why?
a.
B
b.
A
D
E
C
23.
F
I
G
J
H
Given: BC and AE bisect each other at point D
A
Prove: ABD  ECD
B
C
D
E
F. Angle Measures and Basic Constructions.
24. Be able to identify angle types (ex. acute, obtuse, reflex) and be able to use your protractor to
measure an angle.
Identify what type of angle A is. Measure the degrees of angle A with your protractor.
A
25.
Construct a line perpendicular to CD
C
D
26. Reconstruct angle A and then bisect it.
A
G. Finding area, perimeter, surface area, volume of basic shapes and combinations of basic shapes.
Triangles
Prism
Rectangles
Pyramid
Circles
Circular Cylinder
Parallelograms
Circular Cone
Trapezoids
Sphere
******BE PREPARED TO LIST THE FORMULAS YOU ARE USING!!
27. Find the area and the perimeter of the figure below.
Area formulas:
Perimeter formulas:
4 in.
Area = __________________________
18 in.
Perimeter = ______________________
28. Find the area and perimeter of the figure below.
Area formula:
Perimeter formula:
20 cm
8 cm
6 cm
Area = __________________________
8 cm
Perimeter = ______________________
20 cm
29. Find the area and perimeter of the figure below.
Area formula:
Perimeter formula:
14 in.
8 in.
7 in.
Area = __________________________
12 in.
Perimeter = ______________________
24 in.
30. Find the surface area and volume of the figure below with a diameter of 6 in.
Surface Area formula:
Surface Area = _____________
Volume Formula:
Volume = _________________
 6 in.
4 in.
31. Find the surface area and volume of the following figure.
Surface Area formula:
Volume formula:
Surface Area = _____________
Volume = _________________
8.5 in
10 in.
6 in
8 in.
32. Name the polyhedron in problem #31.
_______________________________
How many faces does it have?
_____________
How many vertices does it have?
_____________
How many edges does it have?
_____________
33. Find the surface area and volume of the following figure.
Surface Area Formula:
Surface Area = _____________
Volume Formula:
Volume = _________________
5 in
4 in
6 in.
6 in
34. Name the polyhedron in problem #33.
_______________________________
How many faces does it have?
_____________
How many vertices does it have?
_____________
How many edges does it have?
_____________
35. Find the surface area and volume of the following figure with diameter of 12 cm.
Surface Area formula:
Volume formula:

Surface Area = _____________
Volume = _________________
H. Similar Triangles: Finding side lengths using proportions and different theorems.
36.
13
9
x
12
y
26
37.
Find the length of x and y.
12
11
10
15
x
y
38.
Given AB  BC , CD  DE and AE = 10.
C
B
A
D
10
Find BD.
E
39.
Find the length of x.
x
7
I.
5
Graphing:
40. Using point A (1,4) and point B ( 2, 5 ), answer the following questions. Round to
hundredths.
a.
Find the distance between A and B.
b. Find the midpoint of the line segment AB .
c.
Find the slope of the line segment AB .
d.
What is the slope of a line perpendicular to AB ?
e.
What is the slope of a line parallel to AB ?
f.
Write the equation of the line containing points A and B in slope-intercept form.
41. Graph the following lines:
a. y =  4x+1
b. 3y = 6x  9
c. x =  5
d. y = 2
J.
No unit conversions and no degree/ minute/ second conversions.
Geometry Final Review Answer Key
Numbers 1 – 5 Answers will vary. Listed are sample answers.
1.  1 and  9
2.  6 and  9
3.  1 and  14
4.  6 and  10
5.  1 and  6
6. 110 
7. 70 
8. 58 
9. 58 
10. 54  and 36 
11. 104.2  and 75.8 
12. 1440 
13. 156 
14. Both angles are 57.5 
15. x = 120 
16. x = 6m, y = 10.39 m
17. x = 7.07 feet, y = 10 feet
18. Length of the diagonal is 7.07 in.
19. The altitude is 8.66 cm long.
20. a. 20 cm
b. 18.47 cm
c. 62 
21. Non-right triangles – SAS, ASA, SSS, AAS
Right triangles – LL, HL, HA
22. a. Yes, by SSS
b. No
23. 1. BC and AE bisect each other
2. AD  ED
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
3. BD  CD
4. ADB  EDC
5. ABD  ECD
Acute angle, 45 
See next column
See next column
A = 78.28 in 2
P = 46.28 in
A = 120 cm 2
P = 56 cm
A = 133 in 2
P = 58 in
SA = 131.95 in 2
V = 113.1 in 3
SA = 278 in 2
V = 240 in 3
right triangular prism
5 faces
6 vertices
9 edges
SA = 96 in 2
V = 48 in 3
1. Given
2. Definition of bisector
3. Definition of bisector
4. Vertical angles
5. SAS
25.
26.
34. right square pyramid
5 faces
5 vertices
8 edges
35. SA = 452.39 cm 2
V = 904.78 cm3
36. x = 24
y = 18
37. x = 13.75
y = 22.5
38. BD = 5
39. x = 9.8
40.a. AB = 9.49
 1
 2
b.   , 
1

2
c. m = 3
d. m = 
1
3
e. m = 3
f. y = 3x+1
41.
d
c
a
b