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Geom 1st Sem. Final Rev. Big Ideas

Total questions: 69

Worksheet time: 2hrs 13mins

Name
Class
Date
1.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
2.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
3.
An example of 2 non-collinear points.
a)
D, E
b)
C, B
c)
M, E
d)
F, B
4.

The midpoint of (-2, -5) and (4, 7) is:

a)

(2, 2)

b)

(1, 1)

c)

(2, 1)

d)

(1, 2)

5.

Find MK.

a)

6

b)

4

c)

14

d)

8

6.

a)

101°

b)

94°

c)

120°

d)

99°

7.

a)

33°

b)

29°

c)

32°

d)

25°

8.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

9.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

10.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
11.
Given, "If I have a Siberian Husky, then I have a dog." Identify the converse.
a)
If I do not have a Siberian Husky, then I do not have a dog.
b)
If I have a dog, then I have a Siberian Husky.
c)
If I do not have a dog, then I do not have a Siberian Husky.
d)
If I do not have a Siberian Husky, then I have a dog. 
12.
Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.
a)
If I have a Siberian Husky.
b)
I have a Siberian Husky.
c)
Then I have a dog.
d)
I have a dog.
13.
When can a biconditional statement be true?
a)
When the inverse and the converse are both true
b)
When the original statement (conditional statement) & the contrapositive are both true.
c)
When the converse is true.
d)
When the original statement (conditional statement) and the converse are both true.
14.

Q. Given, "If I have a Siberian Husky, then I have a dog." Identify the contrapositive.

a)

If I do not have a Siberian Husky, then I do not have a dog.

b)

If I have a dog, then I have a Siberian Husky.

c)

If I do not have a dog, then I do not have a Siberian Husky.

d)

If I do not have a Siberian Husky, then I have a dog.

15.

Q. Using the Law of Syllogism, which of the following completes the statement to form a valid conclusion?

If it is snowing heavily, then school will be canceled.

If school is canceled, the big test will not be given today.

It is snowing heavily, therefore

a)

look out for the snowplows while driving to school.

b)

the big test will not be given today.

c)

the roads will be hard to drive on.

d)

school will be canceled

16.

Using the Law of Detachment, draw a conclusion based on the statements given:

If a plane flies to China, then it will be a long flight. Sarah bought a ticket to China.

a)

Sarah will get stuck in the security line.

b)

Sarah will have a long flight.

c)

Sarah will need to bring a neck pillow and headphones.

d)

Sarah will get stuck with a middle seat on the plane.

17.
What is the justification (reason)?
a)
reflexive property
b)
definition of segment bisect
c)
definition of a midpoint
d)
substitution property
18.
If X is between R & T on a line,
then RX + XT = RT
a)
Addition POE
b)
Substitution POE
c)
Angle Addition Post.
d)
Segment Addition Post.
19.
Identify the  missing statement or reason
a)
Reflexive Property
b)
Definition of Midpoint
c)
Given
d)
Vertical Angles Theorem
20.
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)
21.
What is the REASON for Statement #3?
a)
Given
b)
Definition of Complementary Angles
c)
Substitution Property
d)
Reflexive Property of Congruence
22.
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
23.

The image below shows two _____________ lines.

a)

Coplanar

b)

Intersecting

c)

Parallel

d)

Skew

24.
Which lines are parallel?
a)
Line a and Line b
b)
Line b and Line c
c)
All Lines are Parallel
d)
No Lines are Parallel
25.
x=2
y=1
a)
Parallel
b)
Perpendicular
c)
Neither
26.

Given the point Y at (5, 2), where would the image be after the following translation: (x + 2, y - 7)?

a)

(7, 7)

b)

(3, 9)

c)

(4, -5)

d)

(7, -5)

27.
Determine how to translate triangle ABC to triangle A'B'C'.
a)
(x-2, y+5)
b)
(x+2, y-9)
c)
(x-2, y+9)
d)
(x-9, y+2)
28.

∆QRS contains the points: Q(4, 2) R(5, 1) S(3,7). If the triangle is reflected across the y-axis, what will S' be?

a)

S'(3, -7)

b)

S'(-3, 7)

c)

S'(-3, -7)

d)

S'(3, 7)

29.
Identify the transformation from A to D.
a)
90o Clockwise Rotation
b)
180o Rotation
c)
270o Clockwise Rotation
d)
360o Rotation
30.

Reflect Point C over the line x = 1

a)

(-1, 2)

b)

(3, 0)

c)

(0, 2)

d)

(3, -1)

31.

Which is the pre-image (first one)?

a)

Purple

b)

Blue

32.

Find A''

a)

A'': (-4, -1)

b)

A'': (-2, -4)

c)

A'': (-1, -4)

d)

A'': (-1, 4)

33.

Which transformations turn triangle ABC into A'B'C'?

a)

dilation of 2

b)

dilation of ½

34.
Dilate the figure by a scale factor of 3 with the origin as the center of dilation. What are the coordinates of the image?
A(3,3) B(6,6) C(9,3)
a)
A'(9,9) B'(18,18) C'(27,9)
b)
A'(6,6) B'(9,9) C'(12,6)
c)
A'(0,0) B'(3,3) C'(6,0)
d)
A'(1,1) B'(2,2) C'(3,1)
35.

Classify the triangle by its sides and its angles.

a)

Scalene; Right

b)

Isosceles; Right

c)

Scalene; Acute

d)

Isosceles; Acute

36.
True or False
An obtuse triangle has 1 obtuse angle.
a)
True
b)
False
37.
The sides of an equilateral triangle have...
a)
different measures.
b)
Febtober.
c)
equal measures.
d)
60°.
38.
Solve for x.
a)
16
b)
11
c)
50
d)
6
39.
Solve for x.
a)
5
b)
4
c)
3
d)
2
40.
a)
115
b)
60
c)
55
d)
65
41.
How many triangles exist with the given angle measures?  55°, 45°, 90°
a)
No triangle exists
b)
Exactly one unique triangle exists
c)
More than one triangle exists
42.
A triangle has two 71° angles and one 38° angle. Is this triangle isosceles?

a)
yes 
b)
no
43.

Which is NOT a test to prove triangles congruent?

a)

SAA

b)

SSS

c)

SSA

d)

SAS

44.
Which of the following is not a valid reason to prove congruent triangles?
a)
ASA
b)
SAS
c)
SSS
d)
AAA
45.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
46.
Are the triangles congruent, if yes, why?
a)
SAS
b)
ASA
c)
SSS
d)
Not Congruent
47.
What is the correct congruence statement?  ΔLEU≅______
a)
ΔLGE
b)
ΔLEG
c)
ΔELG
d)
Not Congruent
48.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
49.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
50.

Are the triangles congruent?

a)

Yes, by AAS≅

b)

Yes, by AA≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

51.

Are the triangles congruent?

a)

Yes, by AA≅

b)

Yes, by AAS≅

c)

Yes, by ASA≅

d)

Yes, by SAS≅

e)

Not enough information

52.
Find the midpoint of an imaginary diagonal AC of ABCD.
a)
(1, 3)
b)
(5, 4)
c)
(6, 4)
d)
(0, 4)
53.

Select the graph that represents an isosceles right triangle with leg length p in the most convenient way.

a)
b)
c)
d)
54.
The first step of an indirect proof is to ____?
a)
write the given
b)
assume the negation of the given
c)
assume the negation of what you are trying to prove
d)
contradict the given
55.

The second step of an indirect proof is to ____?

a)

assume the negation of the given

b)

assume the negation of what you are trying to prove

c)

conclude the prove is true

d)

contradict the given using logical statements based on the initial assumption

56.
What assumption would you make to start the indirect proof of ∆ABC≅∆DEF?
a)
∆ABC≠∆DEF
b)
∆ABC≇∆DEF
c)
<ABC≠<DEF
d)
AB≅DE
57.
What is the intersection of three perpendicular bisectors called?
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
58.
The image show which point of concurrency
a)
circumcenter
b)
centroid
c)
incenter
d)
orthocenter
59.
Name the point of concurrency shown.
a)
Circumcenter
b)
Incenter
c)
Supercenter
d)
Neither
60.

Which of the following special segments is shown?

a)

median

b)

angle bisector

c)

perpendicular bisector

d)

altitude

61.

What is the blue line shown?

a)

median

b)

angle bisector

c)

perpendicular bisector

d)

altitude

62.
The centroid is the point of concurrency of the 3 ____ of a triangle. 
a)
Medians
b)
Midsegments
c)
Perpendicular Bisectors
d)
Angle Bisectos
63.
The centroid cuts each median into two segments.  The shorter segment is ___________ the length of the entire segment.
a)
one third
b)
two thirds
c)
three fourths
d)
one half
64.
The figure is an example of a(n) ...
a)
angle bisector
b)
midsegment
c)
altitude
d)
median
65.
The altitudes of a triangle intersect at the _________________________.
a)
Centriod
b)
Circumcenter
c)
Incenter
d)
Orthocenter
66.
CF, BE, and AD are the medians of the triangle. If BF =10, find AF.
a)
20
b)
10
c)
5
d)
Not Enough Information
67.
If G is the centroid of triangle ABC and BE= 18. Find the length of BG.
a)
6
b)
12
c)
18
d)
Not Enough Information
68.
a)

x = 22

b)

x = 11

c)

x = 15

d)

x = 9

69.
a)

x = 10

b)

x = 12

c)

x = 8

d)

x = 20

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