Geometry B – Assessment 5 Study Guide
Score: _________/33
1. Given a regular octagon, find the following
information:
a. the sum of the measures of the interior angles
1080
b. the measure of 1 interior angle
135
Name: ____________________
Period: ____________________
7. A stick has a length of 45 inches. It is
divided into lengths that are in a ratio of
4:5.What are the lengths of parts of the stick?
20, 25
8. Which pairs of polygons can be proved to be
similar? Justify your answer.
I – yes, angles congruent, sides prop
II – no, angles congruent, sides not prop
III – no, angles not congruent
c. the measure of 1 exterior angle
45
d. the number of diagonals
20
2. Carlos notices a 40ft flagpole casts 24ft shadow.
A nearby tree casts a 36ft shadow. How tall is the
tree?
60
3. Solve each proportion for x:
3 12
a. =
x=8
x 32
b.
7
3
=
x4 5
x = 15.6
4. A twinjet airplane has length of 80m and
wingspan of 100m. A toy model is made in
proportion to real airplane. If wingspan of toy
is 25cm, find the length of the toy.
9. In the figure, ∆ABC ~ ∆DEF. If AB = 8, DE =
16, EF = 10 and FD = 15, find the perimeter of
∆ABC. 20.5
20
5. Find the geometric mean of 15 and 60.
±30
6. In the figure, AB=288 and BC=50. Find the
lengths x, y and z. x = 312, y = 120, z = 130
10. In the figure, ∆ABC ~ ∆DEF. If BC=10, EF=24,
CJ=12 and FM=20, find the lengths CK and FL.
CK = 8.3, FL = 28.8
1
Rev C
Geometry B – Assessment 5 Study Guide
Score: _________/33
Name: ____________________
Period: ____________________
11. Line segment CD bisects ACB. If AC=6,
AD=3 and BC=10, find length BD. 5
17. Solve for the missing side. X = 30
x
50
40
18. Determine whether each set of numbers can
be measures of sides of a right triangle. If not,
what type of triangle is it?
a. 8, 15, 17
Yes, right triangle
12. Find the value of each variable.
X = 5, y = 10.5
y
4
b. 6, 8, 12
7
x
No, obtuse triangle
8
10
13. In the diagram, find the length of CD 5.5
14. The length and width of a rectangle are 14 and 48
ft. Find the length of the diagonal of the
rectangle.
50
15. Identify the 5 most common Pythagorean Triples.
3,4,5
5,12,13
7,24,25
8,15,17
9,40,41
16. Solve for the missing side. 3√34
9
x
15
2
Rev C