Download 1. List all possible names for the quadrilateral below?

Exam Review
Unit 7
List all possible names for the quadrilateral below?
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1.
Name:_____________________
List all possible names for quadrilateral ABCD with vertices:
2. A(.5,2), B(-3,6), C(,6,6), and D(4,2)?
3.
4.
List all the quadrilaterals that can contain four right angles.
5.
Find the other three angles in the parallelogram if Angle CDA is
650.
A
B
D
C
6.
A parallelogram has an angle of 1200. Find the measure of the
other three angles.
7.
Which statement can you use to conclude that quadrilateral XYZW is
a parallelogram?
X
Y
N
W
Z
a.
b.
c.
d.
Name the figure and find the missing angle measures:
11.
12.
13. HIJK is a rectangle. Draw a picture and find the lengths of the
diagonals if
Determine the most specific name for the quadrilateral. If not, write
impossible:
14.
15.
Find the missing angle measures:
16.
17.
Find the value of the variable(s) and the angle measures:
18.
19.
Find the missing angle measures:
20.
21.
Unit 8 Exam Review
Find the circumference of each circle, then find its area.
60) C = _______ A = ______
Find the length of
63)
61) C = _______ A = ______
62) C = _______ A = ______
64)
65)
.
= _________
= _________
= _________
Find the area of the shaded region.
66) A = ________
67) A = ________
68) A = ________
69)
Find the perimeter of the track to the nearest
tenth.
Perimeter of Track = ___________
70)
Define APOTHEM.
Find the area of the regular polygon. Round to the nearest tenth.
71) A = ________
72) A = ________
73) A = ________
74) a hexagonal swimming pool cover with radius 5 ft
75) a square deck with radius 2 m
Identify the shape, formula used & find the area.
76)
77)
15
Find the probability that a dart thrown at the figure will land in the shaded area. (Assume all darts hit
the figure)
78) __________
80) __________
82)
Find the area of the triangle, in square units.
79) __________
81) __________
Find the value of each variable. (3.4)
83.
84.
85.
Find the value of each variable. (3.4)
86.
87.
88.
89.
Define regular polygon and draw a picture of an example of a regular hexagon.
90.
Find the missing variable.
a.
b.
c.
d.
e.
f.
91.
92.
93.
94.
For a regular pentagon, find each of the following.
a.
the measure of an exterior angle
b.
the measure of an interior angle
For a regular hexagon, find each of the following.
a.
the measure of an exterior angle
b.
the measure of an interior angle
For a regular octagon, find each of the following.
a.
the measure of an exterior angle
b.
the measure of an interior angle
For a regular decagon, find each of the following.
a.
the measure of an exterior angle
b.
the measure of an interior angle
The measure of an interior angle of a regular polygon is given. Find the number of
sides.
95.
120
96.
108
97.
135
Exam Review
Unit 9
Name:_____________________
Identify that theorem that proves the two triangles are SIMILAR.
1) _____________
2) _____________
3) _____________
4) How many theorems are there that prove 2 triangles are similar? ________
5) List the theorems that prove 2 triangles are similar.
________________________________________
6) ____________
7) ____________
8) ____________
Calculate the geometric mean between the two numbers.
9)
4 and 9
_____________
Find x in the triangles below.
12) ____________
10)
5 and 10
11)
8 and 9
_____________
_____________
13) ____________
14) ____________
The two figures are similar regular polygons. Calculate the perimeter of the smaller figure.
+____
20
15) Perimeter = ____________
16) Perimeter = ____________
17.)
Starting at point A, Sally walks 8 feet due east. She then turns 20o to the left and walks another
8 feet. She then turns 20o to the left, walks another 8 feet, turns left another 20o, and so on until
she returns to her starting point. How far does she walk to the nearest foot?
18)
Identify the formula to find GEOMETRIC MEAN.
19)
it.
Identify the Angle Bisector Theorem. Know how to apply it and solve for missing sides using
20)
Identify The Side-splitting Theorem. Know how to apply it and its 2 Corollaries.
For questions #21-22, use the figure to the right:
 X’R’T’ is a dilation image of  XRT.
21)
Find the similarity ratio for the dilation pictured.
22)
If R’T’ = 22 cm, then RT = ________.
For questions #23-24, use the figure to the right:
A’B’C’D’ is a dilation image of ABCD.
23)
Find the similarity ratio for the dilation pictured.
24)
If A’B’ = 18 in, then AB = ________.
25)
Natasha places a mirror on the ground 24 ft from the base of an
oak tree. She walks backward until she can see the top of the tree
in the middle of the mirror. At that point, Natasha’s eyes are 5.5 ft
above the ground, and her feet are 4 ft from the image in the
mirror. Find the height of the oak tree.
26)
Find x.
27)
A man 6 ft tall casts a shadow 4 ft long. At the same time, a building casts a shadow 60 ft long.
How tall is the building? Make a drawing to represent the situation.
Unit 10 Exam Review
+____
11
Write the trigonometry ratio for the given angle, then find the value of x.
28) tan x = ________
29) tan x = ________
sin x = ________
sin x = ________
cos x = ________
cos x = ________
x = _______
x = _______
Write the expression needed to solve for x.
30)
31)
32)
Describe the two vectors with coordinates and with direction and magnitude.
33)
________________
34)
________________
35)
A surveyor measures the top of building 36 feet away from her. Her angle measuring device is
5 feet above the ground. The angle of elevation to the top of the building is 48o. How tall is the
building to the nearest foot?
36)
A hiker leaves point A and hikes 6 miles straight north. She then turns right and hikes 5 miles
east, then turns left and hikes 2 north. She stops for a water break then hikes 11 miles straight
west. At this time, what is her straight line distance from her starting point A?
37)
Plot the points (4,4), (4,-4), (-4,4), and (-4,-4). Now find the length of one of the diagonals of
the square?
38)
Find the missing variables as exact values.
39) Find the value of x for each triangle. Leave your answer in simplest radical form:
40) Solve for x and y: (Law of Sine)
41) Two searchlights on the shore of a lake are located
3020 yards apart as shown in the diagram. A ship in
distress is spotted from each searchlight. The beam
from the first searchlight makes an angle of 38° with
the shoreline. The beam from the second light makes
an angle of 57° with the shoreline. What is the ship’s
distance from each searchlight? Round your answers
to the nearest yard.
42) Solve for x and y: (Law of Cosine)
43) One airplane is 78 miles due south of a control tower. Another airplane is
52 miles from the tower. The tower sights the second airplane at a direction of 38 degrees south of east. Draw a
triangle representing this scenario. To the nearest tenth of a mile, how far apart are the two airplanes?
Theorems, Proof, and Triangle Congruence
44.
What additional information would you need
to prove DGY  DGO by the SSS postulate?
45.
Prove the triangles are congruent.
I
K
Given:
J
H
46.
Fill in the blanks of this proof.
L
47.
Given:
B
Prove:
C
A
D
48. Prove