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Geometry Chapter 5 Reassessment Practice
Name: ____________________________
Test Question #1. Transformations
1. The triangle formed by the points A(5, 4), B(6, 3), C(4, 1) is reflected across the
x-axis to make ABC . Then ABC is rotated 180° clockwise () around the origin to make ABC  .
On the grid below, graph ABC , ABC , and ABC  . Then name the coordinates of ABC  .
y
x
2. For each figure, draw the transformation described. Be sure to label your results!
a. Reflect ABC across line l.
b. Rotate MATH 90 counter -clockwise () about (0, 0).
C
M
A
B
A
H
T
l
3. Graph the points R(–2, 2), A(–6, 2), D(–4, 5).
a. Translate triangle RAD down 8 and right 6. Label the new triangle with prime notation
( A  A' ). Write a lower-case “a” inside the triangle.
b. Rotate triangle RAD 90° clockwise () around the origin and label the image with prime
notation ( A  A" ). Write a lower-case “b” in the triangle.
c. Reflect triangle RAD across the x-axis and label the image with prime notation ( A  A''' ).
Write a lower-case “c” in the triangle.
Geometry Chapter 5 Reassessment Practice
Test Question # 2. Right Triangle Trig
Name: ____________________________
1. Find the value for x in each diagram.
a.
b.
c.
x
17'
x
31
d.
x
22
98 m
47
31
44
20'
8
x
2. As a plane comes in to land at the Nut Tree Airport, it descends at a steady rate. When it is 22 ground miles
from the airport (that's 22 miles along the ground), its altitude is 2.2 miles. To the nearest degree, what is
the angle of descent for the plane? Draw a diagram and use trig ratio(s) to solve this problem. Note that
“the angle of descent” is formed by the path of the plane and its pre-descent orientation (that is, parallel to
the ground).
3. Martha is 180 cm tall and her daughter Heidi is 90 cm tall. Who casts the longest shadow, Martha, when the
sun is 70˚ above the horizon, OR Heidi, when the sun is 35˚ above the horizon? Draw a diagram, and use
trig ratio(s) to solve this problem.
4. 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. Draw a diagram.
Geometry Chapter 5 Reassessment Practice
Test Question #3. Area and perimeter
Name: ___________________________
a. Find the exact area and perimeter of the shaded region. Assume that
angles that look like right angles are right angles.
10 cm
30°
b. Find the exact area and exact perimeter of the shaded region at right.
4’
3’
45°
c. Find the exact area of the shaded region.
20
26
41”
d. Isosceles ∆ABC has two equal sides of 10 cm and base angles of 30˚. Find the exact area and exact perimeter
of the triangle.
e. Find the exact area and the exact perimeter.
20
8
9'
60
4'
f. Find the exact area and exact perimeter of the figure at right.
30°
Geometry Chapter 5 Reassessment Practice
Test Question #4. Probability
Name: ____________________________
a. Janet had trouble choosing outfits, so she made spinners to randomly select outfits. Based on her spinners
below, what is the probability that she wears a hat or scarf with boots? Make a completely labeled area
model (generic rectangle).
hat
scarf
1
3
1
3
1
3
tall boots
pin
1
3
1
6
black
sandals
short
boots
b. A game is played by spinning two spinners. If the colors
match, the player wins. What is the probability that a player
wins? Make a completely labeled tree diagram.
(R = Red, G = Green, B = Blue)
3
8
1
4
B
R
G
R
3
8
G
B
c. A game is played by spinning two spinners. If either spinner is green, the player
wins. What is the probability that a player wins? Make a completely labeled area
model.
(R = Red, G = Green, B = Blue)
1
2
1
8
R
B
G
R
G
B
3
8
Geometry Chapter 5 Reassessment Practice
Test Question #5. Non-Right Triangle Trig
Name: ____________________________
1. Find the value of x in each diagram.
15 m
98
10 in
x
55
25
x
12 m
17 ft
11
8
x
126
x
13
21
20 cm
22o
x
x
18
12 cm
2. Drawing on all of the skills you have learned in this course, find all side lengths and angles in the diagram.
60°
5'
101°