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Worksheets1st semester Final exam review
Total questions: 29
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
2.
Susan is flying a kite, which gets caught in the top of a tree. Use the diagram to estimate the height of the tree.
a)
63 ft
b)
65 ft
c)
74 ft
d)
87 ft
3.
A hawk sitting on a tree branch spots a mouse on the ground 15 feet from the base of the tree. The hawk swoops down toward the mouse at an angle of 30 degrees. What is the distance from the tree branch to the mouse?
a)
7.5 ft
b)
15 ft
c)
26 ft
d)
30 ft
4.
Find the distance between the points: (-3, -4) and (5, 5)
a)
11.8
b)
14.4
c)
12
d)
19
5.
Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)
a)
(18, 13)
b)
(13, 18)
c)
(11,4)
d)
(1.5, -2)
6.
Use the Exterior Angle Theorem to find the value of x.
a)
117
b)
94
c)
149
d)
31
7.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
8.
Which triangle has SAS with this triangle?
a)
b)
c)
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
10.
Find side length X.
a)
22.5
b)
10
c)
9
d)
7.5
11.
Which is NOT true about similar triangles.
a)
The angles in the triangles are congruent to each other.
b)
The sides are proportional to each other.
c)
The angles in each triangle add up to 180o.
d)
The triangles must have at least one side that is the same length.
12.
What is the ratio of the side lengths?
a)
1.25
b)
1.5
c)
2
d)
2.5
13.
The product of two negative numbers is greater than the sum of the two numbers. What is an appropriate counterexample?
a)
-3 and -3
b)
True. There is no counterexample
c)
-1 and -1
d)
4 and 6
14.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
15.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
16.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
17.
What is the equation of a line parallel to the following line that passes through the given point?
y = -4x + 6 (2, -1)
(hint: go to (2,-1) & move in the direction of the slope)
a)
y = 1/4x + 6
b)
y = -4x + 7
c)
y = -4x + 2
d)
y = 1/4x -1
18.
Name that shape.
a)
square
b)
square
rhombus
rhombus
c)
quadrilateral
parallelogram
rhombus
parallelogram
rhombus
d)
quadrilateral
parallelogram
square
parallelogram
square
19.
Name that shape.
a)
trapezoid
b)
quadrilateral
c)
parallelogram
d)
rhombus
20.
The two parallelograms above are similar.
What is the length in inches of line segment PQ?
What is the length in inches of line segment PQ?
a)
40 in.
b)
34 in.
c)
38 in.
d)
14 in.
21.
Parallelogram PQRS is similar to parallelogram WXYZ.
What is the length of line segment YZ?
What is the length of line segment YZ?
a)
3 units
b)
11.6 units
c)
5 units
d)
4.5 units
22.
Given the two triangles, which statement is true by CPCTC?
a)
∠ACB ≅ ∠ DFE
b)
∠ BAC ≅ ∠ FDE
c)
∠CAB ≅∠FED
d)
∠ABC ≅ ∠ DEF
23.
Use the Third Angles Theorem to find the value of x.
a)
x = 60
b)
x = 55
c)
x = 15
d)
x = 65
24.
A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?
a)
111.8 yards
b)
115 yards
c)
127.3 yards
d)
119 yards
25.
Find y.
a)
8√2
b)
4√2
c)
4
d)
8
26.
Find the value of y.
a)
11√2
b)
11
c)
22
d)
(11√2)/2
27.
Which side is the short leg of this 30-60-90 triangle?
a)
6
b)
m
c)
n
28.
What is the length of u and v in this 30-60-90 triangle?
a)
u = 8 v = 4√3
b)
u = 4√2 v = 8
c)
u = 16 v = 8
d)
u = 4√3 v = 8
29.
Solve for x.
a)
44o
b)
-14o
c)
-7o
d)
63o
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