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WorksheetsMidterm Review
Total questions: 77
Worksheet time: 2hrs 28mins
Name
Class
Date
1.
(x, y) -------> (x, -y) is a reflection over the x axis.
a)
True
b)
False
2.
(x, y) -------> (x - 3, y) is a translation of 3 units to the left.
a)
True
b)
False
3.
A dilation with a scale factor of 1/3 is a reduction.
a)
True
b)
False
4.
C(-6, 2) and B(-1, -1)
Rotate 90 degrees counterclockwise.
Rotate 90 degrees counterclockwise.
a)
C' (-6, 2), B' (-1, -1)
b)
C' (6, 2), B' (1, -1)
c)
C' (2, -6), B' (-1, -1)
d)
C' (-2, -6), B' (1, -1)
5.
A(-2, 2) and B(3, 2)
Dilate k = 2
Dilate k = 2
a)
A' (-2, 2), B' (3, 2)
b)
A' (-4, 4), B' (6, 4)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
6.
A(-2, 2) and B(3, 2)
Reflect over the x-axis
Reflect over the x-axis
a)
A' (-2, 2), B' (3, 2)
b)
A' (-2, -2), B' (3, -2)
c)
A' (2, -2), B' (-3, -2)
d)
A' (2, -2), B' (2, 3)
7.
C(-6, 2) and B(-1, -1)
Translate (x, y) -> (x - 1, y - 3)
Translate (x, y) -> (x - 1, y - 3)
a)
C' (-6, 2), B' (-1, -1)
b)
C' (-7, -1), B' (-2, -4)
c)
C' (-5, 5), B' (0, 2)
d)
C' (-7, 1), B' (-2, -2)
8.
What is the algebraic rule?
a)
A
b)
B
c)
C
d)
D
9.
Which algebraic rule will produce a translation that is 5 units to the right?
a)
(x, y) --> (
x , y + 5)
b)
(x, y) --> ( x-5 , y + 5)
c)
(x, y) --> ( x-2 , y + 5)
d)
(x, y) --> ( x+5 , y)
10.
The pair of figures is similar. Find the missing side.
a)
x = 20
b)
x = 12
c)
x = 5
d)
x = 4
11.
Find side length X.
a)
30
b)
25
c)
15
d)
40
12.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
13.
The triangles are similar, solve for the question mark.
a)
8
b)
12.5
c)
18
d)
24
14.
Solve for x.
a)
x = 5
b)
x = 3
c)
x = 14
d)
x = 1
15.
Solve for the variable x.
a)
x = 8.5
b)
x = 10
c)
x = 1
d)
x = 2
16.
Two objects that are the same shape but not the same size are _______.
a)
Congruent
b)
Vertical
c)
Similar
d)
Complementary
17.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
18.
Using a proportion, find the height of the tree.
a)
x = 0.0625 ft.
b)
16 ft
c)
x = 16 ft.
19.
All corresponding angles in similar figures are congruent.
a)
True
b)
False
20.
Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)
a)
Yes, similar because they are the same shape and side lengths are proportional.
b)
No, not similar because they are the same shape, but side lengths are not proportional.
c)
Yes, same shape
d)
No, different sizes
21.
Sides in similar figures must be proportional.
a)
True
b)
False
22.
To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
23.
Solve the proportion.
____ = ____
____ = ____
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
24.
Name a segment that has the same length as segment BD
a)
segment BE
b)
segment DE
c)
segment AD
d)
segment AC
25.
What segment is parallel to EF?
a)
Segment PM
b)
Segment MN
c)
Segment NP
d)
Segment FG
26.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
27.
What is the measure of angle X?
a)
60
b)
40
c)
140
d)
100
28.
QR is a midsegment of triangle WXY. What is the length of segment WY?
a)
3
b)
6
c)
9
d)
12
29.
QR is a midsegment of triangle FGH. Solve for the value of x?
a)
5.5
b)
11
c)
-5.5
d)
-11
30.
If LN = 5, then AC = ______.
a)
5
b)
10
c)
15
d)
25
31.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
32.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
33.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
34.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
35.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
36.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
37.
How do these triangles appear to be similar?
(Hint: Look for non-labeled parts!)
(Hint: Look for non-labeled parts!)
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
38.
How do these triangles appear to be similar?
a)
AA
b)
SAS
c)
SSS
d)
Not Similar
39.
Which is the correct reason for statement 1 in the proof?
a)
Definition of Congruent Angles
b)
Substitution
c)
Transitive Property
d)
Given
40.
If M is the midpoint of AB, then AM = MB
a)
Addition POE
b)
Def. of Midpoint
c)
Reflexive POE
d)
Symmetric
41.
When starting a proof you always start with:
a)
Given information
b)
What it wants you to prove
c)
Equal Angles
d)
Linear Angles
42.
What are the 2 missing pieces of information?
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Transitive Property, SSS(Side-Side-Side)
d)
Reflexive Property, SSS(Side-Side-Side)
43.
What is the "statement" for step 2 of the proof?
a)
AD=AD
b)
AD=DA
c)
HD=DN
d)
HA = AN
44.
Determine if the triangles are congruent, if "yes" state the theorem.
a)
yes, SAS
b)
not congruent
c)
yes, ASA
d)
yes, AAS
45.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
46.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
47.
If L is the midpoint of TJ, what must be true?
a)
TL=JT
b)
JL=TJ
c)
TL=LJ
d)
T is also the midpoint of JL
48.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
49.
∆ABC≅∆XYZ
which is true?
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
50.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
51.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
52.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
53.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
HL
d)
Not Possible
54.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
55.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
56.
Which trigonometric ratio should you use?
a)
Tangent Ratio
b)
Sine Ratio
c)
Cosine Ratio
d)
Any ratio
57.
Which trigonometric ratio should you use?
a)
Tangent Ratio
b)
Sine Ratio
c)
Cosine Ratio
d)
Any ratio
58.
Which trigonometric ratio should you use?
a)
Tangent Ratio
b)
Sine Ratio
c)
Cosine Ratio
d)
Any ratio
59.
Which trigonometric ratio should you use?
a)
Tangent Ratio
b)
Sine Ratio
c)
Cosine Ratio
d)
Any ratio
60.
What is the opposite side to <D?
a)
EF
b)
DF
c)
DE
61.
What is the adjacent side to <D?
a)
EF
b)
DF
c)
DE
62.
What is the ratio of Sin <D?
a)
sin<D = 4/5 = .8
b)
sin<D = 3/5=.6
c)
sin<D = 5/4 =1.25
d)
sin <D = 5/3 = 1.7
63.
What is the ratio of Cos <E?
a)
Cos<E = 5/4 =1.25
b)
Cos<E = 3/5 =.6
c)
Cos<E = 4/5 =.8
d)
Cos<E = 3/4 =.75
64.
Which trigonometric ratio you would use to find side AB?
a)
Sin 60 = 10/AB
b)
Sin 60 = AB /10
c)
Cos 60 = 10 / AB
Cos 60 = 10 /AB
Cos 60 = 10 /AB
d)
tan 60 = AB /10
65.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
66.
Find the height(h)?
a)
2000ft
b)
50 ft
c)
500 ft
d)
1732.05ft
67.
Find side c?
a)
10
b)
8.08
c)
14
d)
12.12
68.
Find side a?
a)
10
b)
8.08
c)
14
d)
12.12
69.
Find <B?
a)
29.74 degrees
b)
60.26 degrees
c)
34.84 degrees
d)
55.15 degrees
70.
Find <A?
a)
29.74 degrees
b)
60.26 degrees
c)
34.84 degrees
d)
55.15 degrees
71.
Find side AB?
a)
11
b)
√11
c)
√65
d)
√33
72.
Solve for the triangle:
a)
CA = √5 , <A = 48.19 , <C = 41.81
b)
CA = 4 , <A = 41.81 , < C = 48.19
c)
CA = √13 , <C = 33.69 , < A = 56.31
73.
From ∠C, what side is AB?
a)
Adjacent
b)
Hypotenuse
c)
Opposite
74.
An airplane takes off 200 yards in front of a 60 foot building. At what angle of elevation must the plane take off in order to avoid crashing into the building?
a)
73.30
b)
16.70
c)
17.46
d)
21.84
75.
Spencer is going snowboarding. He rode the ski lift to the top of the mountain, which is at an altitude of 1500 feet. The angle of elevation from the bottom to the top of the mountain is 25o. What is the length of the Spencer’s run (his trip down the hill)?
a)
3216.76 feet
b)
633.93 feet
c)
699.46 feet
d)
3549.30
76.
A golfer is standing at the tee, looking up to the green on a hill. If the tee is 36 yards lower than the green and the angle of elevation from the tee to the hole is 12°, find the distance from the tee to the hole.
a)
173.15 yards
b)
7.48 yards
c)
7.65 yards
d)
169.37 yards
77.
From a point 340 meters from the base of the Hoover Dam, the angle of elevation to the top of the dam is 33°. Find the height of the dam to the nearest meter.
a)
185.18 meters
b)
523.55 meters
c)
220.80 meters
d)
624.27 meters
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