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WorksheetsSemester 1 Final Review
Total questions: 82
Worksheet time: 2hrs 8mins
Name
Class
Date
1.
Solve for x
a)
18
b)
12
c)
6.75
d)
85.3
2.
Solve for x
a)
16
b)
1.9
c)
19
d)
35
3.
Solve for x
a)
2.05
b)
21
c)
17
d)
-32
4.
Solve for x
a)
57.6
b)
40
c)
15.6
d)
52
5.
a)
A
b)
B
c)
C
d)
D
6.
What is the measure of ∠8?
a)
55
b)
155
c)
135
d)
45
7.
What is the measure of ∠3?
a)
55
b)
155
c)
45
d)
135
8.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
9.
What type of angle pair is ∠1 and ∠5?
a)
alternate interior angles
b)
corresponding angles
c)
alternate exterior angles
d)
vertical angels.
10.
What type of angle pair is ∠1 and ∠3?
a)
alternate interior angles
b)
supplementary angles
c)
corresponding angles
d)
vertical angles
11.
In the diagram, which of the following statements are false?
a)
∠1 and ∠4 are vertical angles
b)
∠4 and ∠5 are alternate interior angles
c)
∠1 and ∠8 are alternate interior angles
d)
∠2 and ∠6 are corresponding angles
12.
Name the corresponding angle to angle 4.
a)
angle 8
b)
angle 6
c)
angle 2
d)
angle 5
13.
Name the alternate interior angle to angle 3.
a)
4
b)
5
c)
6
d)
8
14.
What is the value of y?
a)
29
b)
119
c)
58
15.
A line that passes through parallel lines is called a ______________.
a)
transitive
b)
passer through line
c)
transversal
d)
bisector
16.
Find y.
a)
50
b)
130
17.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
18.
The Triangle Sum Theorem states that the sum of all angles in a triangle is ______.
a)
45°
b)
90°
c)
180°
d)
360°
19.
Find the measure of the angle indicated.
a)
139°
b)
66°
c)
138°
d)
116°
20.
Name the largest angle in this triangle.
a)
∠D
b)
∠E
c)
∠F
21.
Name the smallest angle in this triangle.
a)
∠A
b)
∠B
c)
∠C
22.
List the angles in order from greatest to least.
a)
A, B, C
b)
B, C, A
c)
A, C, B
d)
B, A, C
23.
Solve for x THEN find the degrees for angle A.
a)
44o
b)
96o
c)
-14o
d)
63o
24.
What similarity theorem would prove that these triangles are similar?
a)
SAS∼
b)
SSS∼
c)
AA∼
d)
Side Splitter
25.
Are the triangles similar?
a)
Yes
b)
No
26.
In similar Polygons, corresponding sides are ___ and corresponding angles are ___. (Fill in the blanks)
a)
congruent, proportional
b)
proportional, congruent
c)
congruent, congruent
d)
proportional, proportional
27.
Find missing side
a)
5
b)
7
c)
9
d)
11
28.
If two figures are similar their angles are______.
a)
proportional
b)
congruent
c)
supplementary
d)
complementary
29.
If two figures are similar, the corresponding sides are ______________.
a)
equal
b)
congruent
c)
proportional
d)
none of these
30.
What is the measure of x?
a)
12
b)
15
c)
6
d)
9
31.
Choose the similarity statement for the triangles.
a)
ΔMNL ∼ ΔOPQ
b)
ΔNOM ∼ ΔPQL
c)
ΔLMN ∼ ΔPQO
d)
ΔMLN ∼ ΔPQO
32.
Which of the following is NOT true about similar figures?
a)
A) Similar figures always have the same shape.
b)
B) Similar figures always have the same size.
c)
C) Similar figures always have corresponding angles that are equal.
d)
D) Similar figures always have corresponding sides that are proportional.
33.
Find the height of the tree.
a)
8 ft
b)
12 ft
c)
13 ft
d)
15 ft
34.
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
35.
A yacht is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. Which of these is nearest to the height of the lighthouse?
a)
25 feet
b)
44 feet
c)
110 feet
d)
135 feet
36.
Find side AB?
a)
20 m
b)
5 m
c)
11.54 m
d)
8.66 m
37.
Which scenario describes the picture shown?
a)
A 5 foot ramp is 8 feet away from a building. What is the angle that the ramp makes with the ground?
b)
A 5 foot ramp leans against an 8 foot structure. What is the angle that the ramp makes with the ground?
c)
An 8 foot ramp leans
against a building 5 feet away. What angle does the ramp make with the ground?
against a building 5 feet away. What angle does the ramp make with the ground?
d)
A 5 foot man is 8 feet away from a building. What is the angle of elevation?
38.
A vertical tower is 20 m high from the horizontal ground. The angle of depression of a ball from the top of the tower is 42°. Calculate the distance, in m, of the ball from the base of the tower
a)
18.01 m
b)
29.89 m
c)
13.38 m
d)
22.21 m
39.
What equation can be used to solve for x?
a)
Sin(40°)= x/40
b)
Sin(40º)=x/19
c)
Cos(40º)=x/19
d)
Tan(40°)=19/x
40.
Solve for the misssing distance
a)
18.9
b)
19.5
c)
47
d)
27.5
41.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
SSA
d)
Not Possible
42.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
43.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
44.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
45.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
46.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
47.
∆EHG≅∆KFC
Which is a true statement?
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
48.
Determine how to translate triangle A'B'C' to triangle ABC.
a)
(x+2, y-5)
b)
(x+2, y-9)
c)
(x-2, y-9)
49.
What does a translation do to an image?
a)
Turns it 90* clockwise
b)
Mirrors it
c)
Shrinks it
d)
Slides it
50.
How do you represent a translation Algebraically?
a)
(-y, -x)
b)
(x + a, y + b)
c)
(-x , -y)
d)
(ax, by)
51.
What transformation is happening?
(x, y) ----> (x + 2, y - 3)
(x, y) ----> (x + 2, y - 3)
a)
slide up 2, left 3
b)
slide right 2, up 3
c)
slide right 2, down 3
d)
slide left 3, right 2
52.
Point K (4, 2) is translated using this rule:
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?
(x, y)----> (x + 3, y - 1)
What are the coordinates of K'?
a)
(6, 3)
b)
(7, 3)
c)
(7, 1)
d)
(5, 3)
53.
If (x,y)-->(x-3, y +2) and point A(1, 4), where is A'?
a)
(2, 6)
b)
(1, 4)
c)
(-2, -2)
d)
(-2, 6)
54.
Reflect the point (2, -4) over the y-axis.
a)
(-4, 2)
b)
(-2, 4)
c)
(-2, -4)
d)
(2, 4)
55.
Reflect (6, -3) over the line x-axis.
a)
(6, 3)
b)
(-6, -3)
c)
(-3, 6)
d)
(3, -6)
56.
B(-2, -4)
Reflect over the line y = x
Reflect over the line y = x
a)
(2, -4)
b)
(-4, 2)
c)
(-4, -2)
d)
(4, 2)
57.
Is the picture being reflected in the y-axis or x-axis?
a)
y-axis
b)
x-axis
58.
Write a rule for the translation.
a)
(x -1, y + 2)
b)
(x -2, y + 1)
c)
(x +2, y - 1)
d)
(x +1, y - 2)
59.
Translations, reflections and rotations are all known as ________________________.
a)
Geometry
b)
Transformations
c)
Congruent
60.
Identify the transformation.
a)
Reflection across y-axis
b)
90 Rotation counter clockwise
c)
Translation 5 units left, 1 unit up.
d)
Translation 5 units right, 1 unit down
61.
Dilate Point B by a scale factor of 3:
a)
(12,0)
b)
(12,12)
c)
(4,3)
d)
(0,12)
62.
Choose the correct scale factor:
a)
2
b)
3
c)
1/3
d)
1/2
63.
Which of the following constructions is illustrated?
a)
An angle is congruent to a given angle
b)
The bisector of a given angle
c)
equilateral triangle
d)
The perpendicular bisector of a given segment.
64.
What geometric construction is shown in the diagram below?
a)
an angle bisector
b)
a line parallel to a given line
c)
an angle congruent to a given angle
d)
a perpendicular bisector of a segment
65.
a)
b)
c)
d)
66.
a)
SAS
b)
None
c)
SSS
d)
ASA
67.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
68.
What is the value of x?
a)
60
b)
5
c)
10
d)
-3
69.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
70.
What does CPCTC stand for?
a)
Corresponding Parts of Corresponding Triangles are Congruent
b)
Congruent Parts of Corresponding Triangles are Congruent
c)
Corresponding Parts of Congruent Triangles are Congruent
71.
Fill in the missing proofs.
a)
Transitive Property, SAS(Side-Angle-Side)
b)
Reflexive Property, SAS(Side-Angle-Side)
c)
Reflexive Property, Vertical Angles Thm.
d)
Transitive Property, SSS(Side-Side-Side)
72.
What is the justification?
a)
Symmetric Prop.
b)
Angle addition postulate
c)
Reflexive Prop
d)
Transitive Prop.
73.
Which is a correct congruence statement.
a)
A
b)
B
c)
C
d)
D
74.
If given the equation
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
y = 3(x + 5)2 - 4,
what is the vertex of the parabola?
a)
(5, -4)
b)
(-5, -4)
c)
(-15, -4)
d)
(15, -4)
75.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
76.
Given the equation for this parabola:
y=-(x-4)2-3, does this parabola have a maximum or minimum value?
a)
Maximum (Opens Down)
b)
Minimum (Opens Up)
77.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
78.
Which of the following equations shows the vertex form of a quadratic?
a)
x = -b/2a
b)
x = (-b ±√b2 - 4ac)/2a
c)
y = ax2 + bx + c
d)
y = a(x - h)2 + k
79.
This image represents the construction of...
a)
An Isosceles Triangle
b)
An Equilateral Triangle
c)
A Scalene Triangle
d)
A Perpendicular Bisector
80.
Take a guess! Which one is the correct construction for a perpendicular bisector?
a)
1
b)
2
c)
3
d)
4
81.
What must be true?
a)
1
b)
2
c)
3
d)
4
82.
Name the construction.
a)
midpoint
b)
perpendicular through a point on the line
c)
perpendicular through a point NOT on the line
d)
Circumcenter of a right triangle
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