Name:
Period:
Date:
Score:
Total Score: ____/84
Geometry 1B Final Exam Review
____/8pts Polygon Review
1. Which polygon has the same number of sides as
diagonals?
2. Find the sum of the measures of all angles of an
octagon.
3. How many diagonals are there in an octagon?
4. Find the measure of one of the angles of a
regular octagon.
5. The sum of the measures of the angles of a
polygon is 1620. Find the number of sides of the
polygon.
6. Find the measure of one of the angles of a
regular hexagon.
7. Classify the polygon by # of sides,
convex/concave and regular/irregular.
8. The sum of the exterior angles of any polygon is
always _____________
Geometry 1B: Final Exam Review
1
Form E.1
Name:
Period:
Date:
Score:
___/14pts Ratios and Proportions Review
1. Show 3 ways to represent a ratio. (3pts)
2. Find the geometric means between 16 and 18.
3 12
3. Solve the proportion for x: x  16
GH
4. If HJ = ¾ and GJ = 56, find HJ
5. Given 2 squares with sides 5 and 7
a. What is ratio of their perimeters?
6. You notice that a 40 ft flagpole casts a 36 ft
shadow. A nearby tree casts a 24 ft shadow. How
high is the tree?
b. What is ratio of their areas?
8. Given BN bisects ABC , AB=8, BC=10, AN=4.
Find NC
B
7. Given BE || CD, AB = 6, BC = 2, BE = 9. Find CD.
A
B
E
C
D
A
9. Given AB || CD || EF, AC = 10, BD = 2, CE = 5.
Find DF.
A
N
C
10. The polygons below are similar, but not necessarily
drawn to scale. Find the values of x and y. (2pts)
B
C
12
D
2
8
6
E
F
Geometry 1B: Final Exam Review
2
Form E.1
Name:
Period:
Date:
Score:
__/17pts Right Triangle/Trig Review
1. Identify the 2 special right triangles. Provide an
example of each. Make sure to label all the sides
and angles appropriately.
2. The length and width of a rectangle are 14 and 48 ft.
Find the length of the diagonal of the rectangle.
3. Find EH if FH = 12 and FG = 4
F
4. Find EG if GF = 16 and HG = 4.
F
G
G
E
E
H
H
5. Find x.
6. Find x.
7. Find x.
8. Find x.
9. To an observer on a cliff 360m above sea level,
angle of depression of ship is 28. What is the
horizontal distance between the ship and the
observer?
10. Find x
11. Identify the 5 most common Pythagorean
triples.
a. ____________ d. ________________
b. ____________ e. ________________
c. ____________
12. What does SOHCAHTOA stand for?
Geometry 1B: Final Exam Review
3
Form E.1
Name:
Period:
Date:
Score:
___/15 Circles Review
1. Find the length of the chord that is 15cm from the
center of the circle with a radius of 17cm.
2.
3.
4. In circle Y, m  X = 40º. Find arc XZ.
Given KL=1, LM=8.Find JK
J
If the intercepted arc is 150º, what is the
measure of the inscribed angle?
K
L
M
6. Given:  ABC = 45º, BC = 5, find the length of
arc AC. Leave your answers in terms of π.
A
5. Use circle V to identify the following: (4pts)
Radius, Chord, Semicircle, Minor Arc
C
B
7. Solve for x and y. (2pts)
8. Solve for x. Then find the perimeter. (2pts)
45
x
10
|------------25--------|
Use the following diagram for questions #9 and #10.
9. Find  A.
Geometry 1B: Final Exam Review
10. Find  DFE
4
Form E.1
Name:
Period:
Date:
Score:
___/12 Area Review
1. Find the area of the figure below:
2. Find the area of the figure below:
8
60º
16
3. Find the area of an equilateral triangle with side
of length 6.
4. The circle is inscribed in the square. Find the
area of the shaded region below. Leave answers
in terms of π.
5
5. Find the area of the segment.
6. Given the figure below, find the area of the
sector ABC. Leave your answers in terms of π.
8. Find the perimeter of square with area 100.
7. The ratio of 2 sides of 2 squares is 1:4. What is
the ratio of the areas of the 2 squares?
9. Find the area of square with diagonal 20.
10. If the area of a parallelogram is 32cm2 and the
base is 8cm, find the height.
11. Rhombus has area of 750ft2 with 1 diagonal =
50ft. Find the other diagonal.
12. Find the area of the trapezoid.
Geometry 1B: Final Exam Review
5
Form E.1
Name:
Period:
Date:
Score:
_____/18 Surface Area & Volume Review
1. The ratio of the radii of 2 spheres is 3:4. What is
the ratio of the volumes of the 2 spheres?
2. Find the volume of prism with base area of
16√2 and a height of 15.
3. Find the surface area and volume of cone. Leave
answers in terms of π. (2pts)
4.
Find the total surface area and volume of the
cylinder. Leave answers in terms of π. (2pts)
4m
15 in.
7.95m
7 in.
5. Find the total surface area of the square
pyramid.
6. Find the total surface area and volume of the
rectangular solid below. (2pts)
5
4
9
7. Find the total surface area and volume of the
right triangular prism. (2pts)
8. Find the total surface area and volume of the
following cube. (2pts)
9. Find the total surface area and volume of a
sphere with radius = 5cm. Leave answers in
terms of π. (2pts)
10. Find the total surface area and volume of a
hemisphere with diameter of 12ft. Leave
answers in terms of π. (2pts)
Geometry 1B: Final Exam Review
6
Form E.1