Geometry
NAMES:
50
Chapter 5 Team Test
1.
Find the missing value in each diagram.
x

31
y
17
47
50
48
16º
___
6
 = ______________
2.
x = _______________
y = _______________
A surveyor wants to find the distance from points A and B to an inaccessible point C. These three
points form a triangle. Because point C can be sighted from both A and B, he knows that m A = 53˚
and m B = 61˚. In addition, the distance from A to B is 142 meters. Find AC and BC.
B
AC = _________ m
BC = _________ m
A
___
C
6
3.
Use the quadratic formula to solve for x.
2x2 + 4x – 5 = 0
Two Solutions:
____________________________________
___
4
Geometry Team Test Chapter 5
Page 1 of 3
4.
Find the indicated lengths in each of these triangles using Special Triangles. Leave your answers in
simple radical form.
7
60
c
e
d
b
a
30
11
45
5
___
10
a = ______________
c = _______________
b = ______________
5.
Show your work and include an explanation of what
you used (definitions and conjectures) to solve the
problem.
d = ______________
e = _______________
88
y + 10
a. FIND x.
3x – 7
2x + 18
z
b. FIND y.
___
6
c. FIND z.
Geometry Team Test Chapter 5
Page 2 of 3
6.
Find the area and perimeter of the trapezoid below.
45°
30°
Area = __________________
28 cm
___
5 cm
8
7.
Perimeter = ________________
State which Law to use and find the missing values.
Law of _____________________
98
55
Law of _____________________
15
10
x
25
x
12
___
10
x = _______________
x = ____________________
Bonus: A street slopes upward at an angle of 15˚ with the horizontal. How high does it rise over a horizontal
distance of 120 meters? Draw a diagram, and use trig ratios to solve this problem.
(exact) x = __________________
___
4
Geometry Team Test Chapter 5
(approx.) x  ________________
Page 3 of 3