Geometry
Chapter 5
Name:__________________
Worksheet #10 Review
Date:_________ Per:______
Transformations
1.
Rotate PQR 90 clockwise about the origin.
P
Q
2.
R
For each figure, draw the transformation described.
Translate ABC 5 units to the right and 3 units down
(b) Reflect ABC across the x-axis.
A
A
C
B
C
B
Given the point A(x, y) and a 180° rotation about the origin. What is the location of A ?
A ________
3.
Similarity
4.
Solve for x & y.
5. Determine if the triangle pairs are similar. Give a reason.
x
21'
V
5'
Z
12.5
y
6'
19'
12
B
W
x.=____________
10
y = ___________
9.6
Y
Similar? _______________________
Reason: _______________________
M
Trigonometry
Find the approximate missing value(s).
6..
7.
x
68
20
y
55
15
x
______________
y
8.
______________
9.
10.
7
25
10
26
32
35
x
x
y
x
11.
______________
y
______________
No calculator!
x
_____________
12. No calculator!
h
y
8
66°
38°
130
x
13.
x
__________________
k
___________________
y
__________________
h
___________________
If
A
k
, find
and
.
Inverse Trigonometry
Use inverse trigonometry to find the missing angle.
13.
14.
15.
42.8
x
47
31
7
33.4
z
4
x
x
_______________
z
______________
x
_______________
Area/Perimeter/Radicals
16. Given the figure as marked, find its perimeter and area. Leave answers in radical form.
20
14
60
Area:_________________
Perimeter: _____________
17. Simplify. Rationalize the denominator, as needed.
a.
5
6
= ______________
b.
2
5
18. Find the area of the equilateral triangle:
18
= ________________c.
2 6
3
=________________
Trig Applications
Be sure to draw a picture!
19.
Markwick Farble, that great trig student, now has his sights set on the school's flag pole. If our 6' tall hero is 30'
from the pole and sights its top at a 40˚ angle, how high is the flagpole? Draw a diagram and use trig ratio(s) to
solve this problem.
20.
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 ratio(s) to solve this problem.
Special Right Triangles – no calculator!
Use special right triangles to find the missing sides.
21.
22.
a
45
12 2 45
30
e
d
a = _________
2
e = ___________
60
9
23.
d = ___________
24.
9
b
a
30
45
x
x = __________
21
a = _________
b = _________