WorksheetsGeometer Spring Final Review #1
Total questions: 58
Worksheet time: 2hrs 19mins
Name
Class
Date
1.
Are these triangles congruent?
a)
Yes, by ASA
b)
Yes, by SAS
c)
Yes, by AAS
d)
No, this is the SSA one!!
2.
Are these triangles congruent?
a)
Yes, by SSS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
3.
Are these triangles congruent?
a)
Yes, by AAS
b)
Yes, by SAS
c)
Yes, by ASA
d)
No, this is the SSA one!!
4.
ΔAEB ≅ ΔCED by...
a)
SAS
b)
ASA
c)
AAS
d)
SSS
5.
Which triangle congruence postulate is shown?
a)
SAS
b)
ASA
c)
SSS
d)
SSA
6.
Are the triangles are similar?
a)
Yes, AA~
b)
No
7.
Determine whether the triangles are similar or not. If so, state how they are similar.
a)
Yes, by AA Similarity
b)
No, not similar
8.
The triangles are similar by...
a)
SAS
b)
AA
c)
ASA
d)
SSS
9.
If the triangles are similar, state how.
a)
SSS
b)
SAS
c)
AA
d)
Not similar.
10.
To find the height of a very tall pine tree, you measure your shadow and the tree's shadow. How tall is the tree?
a)
144 feet
b)
72 feet
c)
36 feet
11.
Find missing side
a)
5
b)
7
c)
9
d)
11
12.
Find the indicated side length.
a)
8
b)
18
c)
15
d)
6
13.
Find the indicated side length.
a)
25
b)
15
c)
32
d)
20
14.
Find the indicated side length.
a)
28
b)
18
c)
20
d)
24
15.
Find the geometric mean for 5 and 8
a)
4
b)
10
c)
6.5
d)
about 6.3
16.
Set up the problem so that you can solve for X.
a)
sin X = 41/28
b)
tan X = 41/28
c)
cos X = 28/41
d)
sin X = 28/41
17.
Solve for x. Round to the nearest tenth.
a)
15.3
b)
16.6
c)
24.1
d)
24.3
18.
Find the measure of the missing angle.
a)
49o
b)
50o
c)
41o
d)
33o
19.
Choose the correct ratio.
a)
sin(37)=x/14
b)
cos(37)=x/14
c)
tan(37)=x/14
d)
sin(37)=14/x
20.
What is the length of y in this picture?
a)
45
b)
5√2
c)
90
d)
5
21.
What is the length of x in this 45-45-90 triangle?
a)
4√2
b)
4
c)
8
d)
4√3
22.
What is the length of y in this 45-45-90 triangle?
a)
8√2
b)
4√2
c)
4
d)
8
23.
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
24.
If you are given the opposite side and hypotenuse, which trig function should you use?
a)
sine
b)
cosine
c)
tangent
d)
cotangent
25.
a)
24/32
b)
32/24
c)
32/40
d)
24/40
26.
Angle Q and B are...
a)
Alternate Interior Angles
b)
Consecutive Interior Angles
c)
Corresponding Angles
d)
Alternate Exterior Angles
27.
Name the angle relationship.
a)
Alternate Interior
b)
Alternate Exterior
c)
Corresponding
d)
Vertical Angles
28.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
supplementary angles
c)
corresponding angles
d)
vertical angles
29.
a)
88
b)
98
c)
108
d)
92
30.
a)
128
b)
52
c)
62
d)
72
31.
What is the value of the missing angle?
a)
61
b)
50
c)
60
d)
69
32.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
33.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
34.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
35.
A 10-foot ladder is leaning against the wall. The bottom of the ladder is 4 feet from the base of the wall. Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
36.
What is the distance between the two points?
a)
12.64
b)
16.52
c)
12
d)
16
37.
Do the segment lengths 9, 12, and 15 form a right triangle?
a)
Yes
b)
No
38.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
39.
If the sides of a triangle are 7, 25, and 24, is it a right triangle?
a)
yes
b)
no
40.
Do the side lengths 9, 12, and 17 make a right triangle?
a)
Yes
b)
No
41.
What is another name for ∠H
a)
∠KGH
b)
∠LGH
c)
∠LHG
d)
∠K
42.
Find what the value of x.
a)
56
b)
66
c)
156
d)
166
43.
The image shows what type of transformation
a)
Rotation
b)
Translation
c)
Reflection
44.
QR=QR
a)
Reflexive property of equality
b)
Symmetric property of equality
c)
Subtraction property of equality
d)
Transitive property of equality
45.
What is reason 5?
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Prove
46.
What is the measure of this angle?
a)
160
b)
15
c)
165
d)
175
47.
Name a line skew to FG
a)
EH
b)
DC
c)
AD
d)
FB
48.
Find m∠ABC
a)
45o
b)
60o
c)
105o
d)
15o
49.
Find the largest side in Δ BCD
a)
Segment BC
b)
Segment DB
c)
Segment DC
d)
Segment AB
50.
Find the largest angle in Δ PRQ
a)
∠R
b)
∠P
c)
∠Q
d)
∠S
51.
Convex or Concave?
a)
Convex
b)
Concave
52.
Inductive Reasoning is...
a)
reasoning that uses guesses and ideas to arrive at a conclusion
b)
reasoning that uses random examples to arrive at a thesis
c)
reasoning that uses a number of specific examples to arrive at a conclusion
d)
reasoning that uses facts, rules, definitions, or properties to reach logical conclusions from given statements
53.
Deductive Reasoning is...
a)
reasoning that uses guesses and ideas to arrive at a conclusion
b)
reasoning that uses random examples to arrive at a thesis
c)
reasoning that uses a number of specific examples to arrive at a conclusion
d)
reasoning that uses facts, rules, definitions, or properties to reach logical conclusions from given statements
54.
Use the congruency statement to answer the following:
<F = ___
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
55.
Two sides of a triangle have side lengths of 17 meters and 12 meters. What is the range of possible lengths for the third side?
a)
12 < x < 17
b)
12 < x < 29
c)
5 < x < 17
d)
5 < x < 29
56.
In the diagram below, what must be the
measure of the angle marked x?
measure of the angle marked x?
a)
27°
b)
29°
c)
31°
d)
34°
57.
Find the geometric mean between 4 and 9.
a)
6
b)
2√3
c)
3√2
d)
8
58.
Which of the following does not represent the lengths of the sides of a triangle?
a)
2 cm, 6 cm, 7 cm
b)
5 cm, 2 cm, 5 cm
c)
5 cm, 5 cm, 8 cm
d)
3 cm, 10 cm, 15 cm
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