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Winter Final Exam Review Geometry

Total questions: 60

Worksheet time: 3hrs 33mins

Name
Class
Date
1.

What does the word BISECT mean?

a)

To cut something into more than five pieces

b)

It is a plane with two sets of wings

c)

A shape that has three sides

d)

To cut something into two congruent pieces or in half

2.

What angle pair is pictured?

a)

Alternate interior angles

b)

Supplementary angles

c)

Vertical angles

d)

Corresponding angles

3.

Find the missing angle (find x)

a)

15o

b)

50o

c)

130o

d)

165o

4.

What kind of lines are these?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

None of the above

5.

What kind of lines are these?

a)

Parallel

b)

Perpendicular

c)

Intersecting

d)

None of the above

6.
Write a rule to describe the transformation.
a)
Reflection of y=x
b)
Translation of (2,4)
c)
Rotation of 180 degrees
d)
Dilation of -2
7.
Write a rule to describe the transformation.
a)
Reflection across the y-axis
b)
Rotation of 180 degrees
c)
Dilation of -1 
d)
Translation of (-4, 0)
8.
Find the coordinates of the vertices after the given transformation.
Rotation 90 degrees counterclockwise about the origin
K(4,-6)
a)
K'(-6,4)
b)
K'(-4,6)
c)
K'(6,4)
d)
K'(-6, -4)
9.
Find the coordinates of the vertices after the given transformation.
Reflection across x-axis, then translated (-2,5)
W(3,-4)
a)
W'(1,1)
b)
W'(1, 9)
c)
W'(-5,9)
d)
W'(4,3)
10.
Angles 2 and 7 are?
a)
corresponding
b)
alternate interior
c)
alternate exterior
d)
vertical
11.
Angles 3 and 7 are?
a)
corresponding
b)
same side interior
c)
alternate interior
d)
linear pair
12.
m<RBY = ?
a)
115
b)
65
c)
180
d)
85
13.
Find the value of x
a)
-5
b)
28
c)
19
d)
-3
14.
Solve for x
a)
6
b)
140
c)
20
d)
90
15.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
16.
The point (8, 12) was dilated to become point (2, 3). What was the scale factor?
a)
½
b)
¼
c)
4
d)
2
17.

When you dilate the figure by a scale factor of 3, what is the location of B'?

a)

(12,0)

b)

(12,12)

c)

(4,3)

d)

(0,12)

18.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
19.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

20.
a)
A
b)
B
c)
C
d)
D
21.
Find the value of the base angle. 
a)
30
b)
120
c)
60
d)
180
22.
QR is a midsegment of triangle WUV. What is the length of segment QR?
a)
4
b)
8
c)
16
d)
32
23.

Which of the following are NOT sufficient to prove two triangles are congruent? Choose all that apply.

a)

SSS

b)

AAA

c)

ASA

d)

SSA

e)

AAS

24.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, insufficient information given

25.

How would you name the triangle congruent to triangle ABC?

a)

Triangle FMN

b)

Triangle NMF

c)

Triangle MNF

d)

Triangle MFN

26.

Are the following triangles congruent? If so, how do you know?

a)

Yes, SSS

b)

Yes, SAS

c)

Yes, ASA

d)

Yes, AAS

e)

No, not enough information given

27.

What property states that a side or angle is congruent to itself?

a)

Substitution POE

b)

Addition POE

c)

Reflexive POE

d)

Transitive POE

28.
What does CPCTC stand for?
a)
Corresponding Parts of Congruent Triangles are Congruent
b)
Congruent Parts of Congruent Triangles are Corresponding
c)
Colorful Pieces of Corresponding Triangles are Congruent
d)
Congruent Pieces of Congruent Triangles are Congruent
29.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
30.
What additional information is required for the 2 triangles to be congruent by ASA?
a)
A
b)
B
c)
C
d)
D
31.

State the postulate that proves these triangles are similar.

a)

AA~

b)

SAS~

c)

SSS~

d)

AAS~

32.

State the postulate that proves these triangles are similar.

a)

SSS~

b)

SAS~

c)

AA~

d)

Not similar

33.

State the postulate that proves these triangles are similar.

a)

AA~

b)

SAS~

c)

SSS~

d)

Not Similar

34.
What is statement #1?
a)
BC≅DC
b)
AC≅EC
c)
BC≅DC, AC≅EC
d)
∆BCA≅∆DCE
35.
What is statement #2?
a)
∠ABC≅∠EDC
b)
∠BCA≅∠DCE
c)
BC≅CD
d)
∠E≅∠A
36.
What is reason #3?
a)
SAS
b)
ASA
c)
SSS
d)
AAS
37.
What is always the 1st statement in reason column of a proof?
a)
Prove
b)
Given
c)
Reason
d)
Statement
38.

In parallelgram ABRK,  RA‾≅AR‾\overline{RA}\cong\overline{AR}  for what reason?

a)

Symmetric Property

b)

CPCTC

c)

Reflexive Property

d)

SSS

39.

Fill in the Reason #3.

a)

Alternate interior angles are congruent.

b)

Vertical angles are congruent.

c)

Reflexive Property

d)

∥⟶\parallel\longrightarrow alternate interior angles are congruent

40.
The figure is a parallelogram.  
Solve for x.  
a)
1
b)
11
c)
7
d)
6
41.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
1
c)
5
d)
2
42.
The figure is a parallelogram.  
Solve for x.  
a)
7
b)
2
c)
0
d)
4
43.
Solve for X
a)
22
b)
16
c)
40
d)
35
44.
Which is NOT a property of a parallelogram?
a)
Diagonals bisect each other
b)
Diagonals are congruent
c)
Both pairs of opposite sides are parallel
d)
Both pairs of opposite angles are congruent
45.
In a parallelogram, consecutive angles are __________.
a)
congruent
b)
supplementary
c)
corresponding
d)
parallel
46.
Find the measure of the indicated angle (?) round to the nearest tenth.
a)
9.4
b)
55.2
c)
20.15
d)
19.4
47.
Which is the ratio of the opposite leg to the hypotenuse in a right triangle?
a)
sine
b)
cosine
c)
tangent
d)
secant
48.
Find the ratio for sinA. (Reduce the fraction)
a)
36/27
b)
4/5
c)
36/45
d)
3/5
49.
Solve for x. Round to the nearest tenth.
a)
9.8
b)
0.1
c)
0.038
d)
9.9
50.
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
51.
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.  The distance between the yacht and the top of the lighthouse is about 100 feet.  Which of these is nearest to the height of the lighthouse? 
a)
25 feet
b)
45 feet 
c)
110 feet 
d)
135 feet 
52.
A tourist views a deer from a height of 45 feet.  The horizontal distance between the tourist and the deer is 130 feet.  At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.  
a)
19 degrees
b)
45 degrees
c)
71 degrees
d)
138 degrees 
53.
Which one is the easy trick to remember trigonometric ratios?
a)
Sah Coh Toa
b)
Soh Cah Toa
c)
Soh Cah Tao
d)
Soh Ceh Toa
54.
Solve for x. Round to the nearest tenth.
a)
103.5
b)
4.7
c)
55.0
d)
23.4
55.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
56.

The drawing shows a compass and straight edge construction of...what?

a)

the bisector of a given angle

b)

a perpendicular to a given line at a point on the line

c)

a perpendicular to a given line from a point NOT on the line

d)

an angle congruent to a given angle

57.

What is being constructed in the figure?

a)

the perpendicular bisector of line m

b)

the line perpendicular to line m through a point on the line

c)

the line parallel to line m through a point NOT on the line

d)

an angle that has line m as its bisector

58.

What was duplicated?

a)

line

b)

line segment

c)

ray

d)

angle

59.

In the image, line RS is _______ to line JQ.

a)

parallel

b)

congruent

c)

similar

d)

perpendicular

60.

What type of construction do you see?

a)

midpoint

b)

angle bisector

c)

perpendicular bisector

d)

altitude

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