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Worksheets

22-23 GEO CBA Review

Total questions: 115

Worksheet time: 3hrs 21mins

Name
Class
Date
1.
∠1 and ∠3 can best be described as -
a)
complementary angles
b)
supplementary angles
c)
vertical angles
d)
adjacent angles
2.

What is the length of SU?

a)

6

b)

21

c)

24

d)

42

3.

If B is between A and C, then

AB + BC = AC

is an example of ______,

a)

distance

b)

postulate

c)

segment addition

d)

angle addition

4.

Find x.

a)

-8

b)

-4

c)

8

d)

12

5.
Find measurement for PR.
a)
9
b)
1
c)
-1
d)
3
6.

Choose possible coordinates for point X if RX = 9

a)

5

b)

13

c)

-9

d)

-5

7.

Name the line that is the intersection of ADG and DEF

a)

BCBC\longleftrightarrow  

b)

DFDF\longleftrightarrow  

c)

ADAD\longleftrightarrow  

d)

BEBE\longleftrightarrow  

8.
Points that lie on the same plane are ________. 
a)
collinear
b)
coplanar
c)
parallel
d)
perpendicular
9.
Points that lie on the same line are _________.
a)
coplanar
b)
collinear
c)
parallel
d)
perpendicular
10.
Name 4 collinear points
a)
HMNO
b)
IKNO
c)
MJOL
d)
HNKI
11.

What is part of a line that has one endpoint and goes on and on in one direction?

a)

Point

b)

Line

c)

Line Segment

d)

Ray

12.

Name a pare of opposite rays

a)

NK and NHNK\longrightarrow\ and\ NH\longrightarrow  

b)

NK and NINK\longrightarrow\ and\ NI\longrightarrow  

c)

JK and LKJK\longrightarrow\ and\ LK\longrightarrow  

d)

HNKI MN and MOMN\longrightarrow\ and\ MO\longrightarrow  

13.

Name the point of intersection between the lines ADAD\longleftrightarrow  and DFDF\longleftrightarrow  

a)

 D

b)

 F

c)

 A

d)

 B

14.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
15.
Find the distance between ( 1, 3) and (5, 6) 
a)
3
b)
4
c)
5
d)
6
16.
Find the distance between (3, 24) and (7, 56).
a)
32.1
b)
32.2
c)
32.3
d)
32.4
17.

A(3,1) B(-2,-1) written correctly is:

a)

(23)2 + (11)2\sqrt{\left(-2-3\right)^2\ +\ \left(-1-1\right)^2}

b)

(13)2 + (12)2\sqrt{\left(1-3\right)^2\ +\ \left(-1-2\right)^2}

c)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

d)

(23)2  (11)2\sqrt{\left(-2-3\right)^2\ -\ \left(-1-1\right)^2}

18.
Find the distance between the two points: (2, -1) and (2, 5)
a)
0
b)
8.3
c)
6
d)
5.5
19.
What is the midpoint between (-4, 4) and (-2, 2)
a)
(-6, 6)
b)
(-3, 3)
c)
(1, 3.5)
d)
(-6, 3)
20.
  Find the missing endpoint if the midpoint is at (2, -5) and one endpoint is at (12, -5).
a)
(2, -5)
b)
(10, -8)
c)
(-8, -5)
d)
(12, -5)
21.

Find the endpoint of the segment with the endpoint of (-4, 5) and midpoint of (7, -9)

a)

(18, -23)

b)

(13, 18)

c)

(11,4)

d)

(1.5, -2)

22.

Given the line segment AB with endpoint located at A (3, 5) and B(4, 3) respectively, find the point P that partitions the line segment AB into the ratio 1:3.


(ONLY ONE OF THE POSSIBLE TWO IS LISTED)

a)

(3.75, 2.5)

b)

(3.25, 4.5)

c)

(4.75, 1.5)

d)

(5.75, 1.5)

23.
Fill in the reason for 5. 
a)
Addition Postulate
b)
Substitution property
c)
Definition of midpoint
d)
Segment Addition Postulate
24.
Fill in the statement for number 4. 
a)
RA=RE +AE
b)
EL = EA + AL
c)
RE +EA= EA +AL
d)
RA = EL
25.
Fill in the reason for number 3. 
a)
Reflexive property
b)
Symmetric Property
c)
Transitive property
d)
Substitution property
26.
Fill in the statement for number 3. 
a)
HA = AY
b)
HA = AP
c)
A is the midpoint of HP
27.

Which of the following is an example of the transitive property?

a)

If x = 5 and and x = y, then y = 5.

b)

If x = y then y = x

c)

x = x

d)

If 2x + 4 = 2, then x = -1

28.

What is the missing statement in the proof?

a)

Addition property

b)

Segment Addition Postulate

c)

Substitution property

d)

Transitive property

29.
If O is between FX, then FO + OX = FX.
a)
Segment Addition Postulate
b)
Angle Addition Postulate
c)
Definition of Congruent Segments
d)
Vertical Angles Theorem
30.
What is the reason?
a)
Transitive 
b)
Substitution
c)
Middle Man
d)
Replacing 
31.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
32.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
33.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
34.

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

a)

Definition of Midpoint

b)

Definition of Angle Bisector

c)

Definition of Congruent

d)

Definition of Segment Bisector

35.
Which of the following angles can you add together to equal angle d? 
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
36.

What is the measure of angle b?

a)

36o

b)

56o

c)

63o

d)

117o

37.

Find the measure of angle A.

a)

75o

b)

60o

c)

30o

d)

38o

38.

Choose the correct answer below

a)

c is parallel to d

b)

c is perpendicular to d

c)

c and d are neither parallel nor perpendicular

39.

Type measure of the missing angle


NOTE: Only type the number do NOT include "x ="

(a)  

40.

<ABC and <CBD form a linear pair. If m<ABC= 12x-10 and m<CBD= 4x+30, what is the value of x

(a)  

41.

What is the value of x

(a)  

42.

Which of the following angle pairs are Alternate Interior Angles?

a)

<1 and <3

b)

<3 and <6

c)

<3 and <5

d)

<2 and <8

43.

Which of the following angles pairs are Same Side Interior Angles?

a)

<1 and <2

b)

<1 and <8

c)

<3 and <5

d)

<3 and <6

44.

Which of the following angles pairs are Alternate Exterior Angles?

a)

<1 and <8

b)

<1 and <7

c)

<3 and <6

d)

<8 and <3

45.

Which of the following angles pairs are Corresponding Angles?

a)

<1 and <4

b)

<2 and <7

c)

<3 and <5

d)

<4 and <8

46.

Find the value of x.

(a)  

47.

Which of the following is the correct congruency statement for the triangles?

a)

ΔABCΔZYX\Delta ABC\cong\Delta ZYX

b)

ΔXYZΔABC\Delta XYZ\cong\Delta ABC

c)

ΔBCAΔXYZ\Delta BCA\cong\Delta XYZ

d)

ΔXYZΔCBA\Delta XYZ\cong\Delta CBA

48.
Identify the shortest side measure.
a)
QP
b)
QM
c)
MP
49.
List the side measures in order, shortest to longest.
a)
QM, QP, MP
b)
MQ, MP, QP
c)
MP, MQ, QP
50.
Identify the longest side measure.
a)
AC
b)
BA
c)
BC
51.
Identify the smallest angle.
a)
∠A
b)
∠B
c)
∠C
52.
What is the range of values of x for a triangle's third side given side measures of 8 and 15?
a)

x > 8 and x < 15

b)

x > 7 and x < 23

c)

x < 7 and x > 23

53.
What is the range of values of for a triangle's third side given side measures of 4 and 12?
a)

x > 8 and x < 16

b)

x < 4 and x > 12

c)

x > 4 and x < 12

54.

The sum of the lengths of any two sides of a triangle is _____ than the third side

a)

less

b)

greater

c)

equal

55.

Does the sides 8, 9, 10 make a triangle?

a)

yes

b)

no

56.

Does the sides 12, 4, 17 make a triangle?

a)

yes

b)

no

57.

The lengths of two sides are given (27, 39). What are the possible length of the third side? Between what two numbers

a)

Between 12 and 66

b)

Between 27 and 39

c)

Between 12 and 67

58.

Solve for x

a)

7

b)

3

c)

10

d)

6

59.

AD is a perpendicular bisector. Solve for x

a)

8

b)

4

c)

20

d)

11

60.

What ray is the bisector of AOC\angle AOC  ?


a)

OB\overrightarrow{OB}  

b)

OC\overrightarrow{OC}  

c)

BO\overrightarrow{BO}  

d)

OB\overline{OB}  

61.
What do the interior angles in a triangle have a sum of?
a)
180
b)
90
c)
360
d)
270
62.
Find the measure of the indicated angle. 
a)
95
b)
85
c)
35
d)
45
63.
Which of the following angles are remote interior angles to angle d?
a)
Angle a and Angle b
b)
Angle b and Angle c
c)
Angle a and Angle c
d)
Angle a and Angle b and Angle c
64.
Find the value of x.
a)
A
b)
B
c)
C
d)
D
65.

Solve for x = (a)  

66.

NAME the triangle - Select ALL correct options to get a mark

a)

ABC

b)

BAC

c)

CBA

d)

BCA

67.

Name the angle which is represented by x - Select ALL options that are correct

a)

ABC

b)

BCA

c)

CAB

d)

CBA

68.

Angle BCA corresponds with which angle?

a)

FEG

b)

EGF

c)

FGE

69.

Name the angle

a)

∠D

b)

∠f

c)

∠FED

d)

∠FDE

70.

Name the angle.

a)

∠LMK

b)

∠KML

c)

∠KLM

71.

Name the vertex of the angle.

a)

S

b)

R

c)

Q

d)

S, R, and Q are vertices

72.

Name the vertex of the angle.

a)

E

b)

F

c)

D

d)

E, F, and D are vertices

73.
This angle is written as......
a)
 ∠ABC
b)
 ∠ACB
c)
∠BCA
d)
∠CAB
74.
What does this represent?
a)
angle ABC
b)
triangle ABC
c)
arc ABC
d)

less than ABC

75.

Choose the correct name for the angle marked 6.\angle6.  

a)

KVL\angle KVL  

b)

LKV\angle LKV  

c)

V\angle V  

d)

JKV\angle JKV  

76.

Choose the correct name for the angle marked 3.\angle3.  

a)

V\angle V  

b)

4\angle4  

c)

IVH\angle IVH  

d)

JVI\angle JVI  

77.

Which term best describes the figure?

a)

Ray RST

b)

Line segment RST

c)

Angle RST

d)

Point RST

78.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\  
A  ?\angle A\ \cong\ ?  

a)

D\angle D  

b)

E\angle E  

c)

F\angle F  

d)

C\angle C  

79.

Given 

ΔABC ΔDEF \Delta ABC\ \cong\Delta DEF\  
BC  ?\overline{BC}\ \cong\ ?  

a)

DE\overline{DE}  

b)

EF\overline{EF}  

c)

DF\overline{DF}  

d)

FE\overline{FE}  

80.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
81.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
82.
∆ABC ≅ ∆LMN. Which statement is NOT true?
a)
LM ≅ AB
b)
∆CAB ≅ ∆NLM
c)
∠C ≅ ∠N
d)
BC ≅ ML
83.
∆JIK ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
84.
Given the diagram, which of the following must be true?
a)
∆XSF ≅ ∆XTG
b)
∆SXF ≅ ∆GXT
c)
∆FXS≅ ∆XGT
d)
∆FXS ≅ ∆GXT
85.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
86.
∠U = ≅
a)
∠F
b)
∠G
c)
∠E
87.
Given the diagram, which of the following must be true?
a)
∆XSF ≅ ∆XTG
b)
∆SXF ≅ ∆GXT
c)
∆FXS≅ ∆XGT
d)
∆FXS ≅ ∆GXT
88.

△BAC ≅ △QPR. If ∠B = 2x and ∠Q = 10, find the value of x.

a)

2

b)

4

c)

5

d)

-5

89.
Which segment is the base?
a)
Segment AB
b)
Segment BC
c)
Segment AC
90.
Which angle is the vertex angle?
a)
<C
b)
<A
c)
<B
91.

If an isosceles triangle has a base angle measuring 40°, then what measure is the VERTEX angle?

a)

120°

b)

100°

c)

40°

d)

80°

92.
If two sides of a triangle are congruent, then the _________________ opposite those sides are congruent.
a)
sides
b)
vertices
c)
angles
d)
measures
93.
Find x
a)
90
b)
45
c)
22
d)
35
94.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
95.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
96.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
97.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
98.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
99.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
100.
State if the two triangles are congruent. If they are, state how you know
a)
AAS
b)
ASA
c)
Not congruent
101.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡IGH≅∡WGH
b)
∡GIH≅∡GWH
c)
∡IHG≅∡WHG
102.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡VXW≅∡WCV
b)
∡XWV≅∡CVW
c)
∡XVW≅∡CWV
103.
State what additional information is required in order to know that the triangles are congruent for the given reason.
a)
∡SRQ≅∡EDC
b)
∡SQR≅∡ECD
c)
∡QSR≅∡CED
104.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
105.
What does CPCTC stand for?
a)
Congruent parts of congruent triangles are congruent
b)
Corresponding parts of congruent triangles are congruent
c)
Corresponding parts of corresponding triangles are corresponding
d)
Corresponding parts of congruent triangles are Canadian.
106.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
107.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
108.
 ∠A = ≅
a)
∠M
b)
∠N
c)
∠L
109.
Fill in the blank.
a)
Given
b)
Reflexive Property
c)
Transitive Property
d)
They're the same side!!!!!! 
110.
What is the "reason" for step 5 of the proof?
a)
Angle Bisector Theorem
b)
Reflexive property
c)
CPCTC Theorem
d)
Proof
111.

What is the "statement" for step 2 of the proof?

a)

ADADAD\cong AD

b)

ADDAAD\cong DA

c)


HDDNHD\cong DN

d)



HAANHA\cong AN

112.
What additional information is required to prove the 2 triangles are congruent by SSS
a)
A)
b)
B)
c)
C)
d)
D)
113.

In a proof, we must first _______________________ before we can use CPCTC.

a)

make sure angles correspond

b)

color code corresponding parts

c)

fill all the reasons

d)

prove two triangles are congruent

114.
What is the "statement" for step 3 of the proof? 
a)
∡EDA≅∡DCB
b)
∡AED≅∡BEC
c)
DE=CE
d)
∡AED≅∡CED
115.
What additional information is required for the 2 triangles to be congruent by SAS?
a)
A
b)
B
c)
C
d)
D