WorksheetsG-CHAPTER 3 TEST 2023-2024
Total questions: 240
Worksheet time: 9hrs 7mins
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What is the name of this kind of triangle?
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What is the name of this kind of triangle?
A triangle with 3 congruent sides is called a(n) ______
Isosceles Triangle
Equilateral Triangle
Obtuse Triangle
Irregular Triangle
A scalene triangle has _____
3 different angle names
no congruent sides
all sides congruent
3 congruent angles
A triangle with at least one angle greater than 90 degrees is called a(n) ________ triangle
obtuse
left
right
acute
Identify the triangle by its sides and angles
Equilateral
Obtuse Equilateral
Acute Equilateral
Acute Isosceles
Identify the triangle by its sides and angles
Right Isosceles
Right Scalene
Obtuse Isosceles
Obtuse Scalene
Identify the triangle by its sides and angles
Obtuse Isosceles
Obtuse Equilateral
Obtuse Scalene
Identify the triangle by its sides and angles
Acute Equilateral
Right Equilateral
Acute Isosceles
Obtuse Isosceles
Identify the triangle by its sides and angles
Obtuse
Acute Isosceles
Obtuse Scalene
Obtuse Isosceles
All acute triangle are Equilateral
True
False
A right triangle can not be equilateral
True
False
Find the measure of the angle indicated.
87
92
105
93
Find the measure of the angle indicated.
70
50
54
49
Find the measure of the angle indicated.
30
79
99
124
Find the measure of the angle indicated.
80
69
56
64
Find the measure of the angle indicated.
26
127
135
154
Solve for x.
1
2
7
12
Solve for x.
5
15
8
4
Solve for x.
12
6
10
11
Solve for x.
7
1
4
5
Solve for x.
2
5
10
15
150
116
155
70
Find m∠DGF
90
82
77
56
Find m∠E
35
100
31
33
Find m∠C
78
82
69
124
Find m∠GQR
19
135
142
121
Find angle a
100
80
120
60
Find angle x
100
140
120
60
c =
100
125
80
75
d =
155
125
100
75
e =
b + 25
180 + c
d + 25
100 - b
Use the figure to determine which of the following angles has the greatest measure: ∠ 4, ∠ 8, ∠9
∠4
∠8
∠9
Not enough information
Use the figure to determine which of the following angles has the greatest measure: ∠ 1, ∠ 3, ∠4
∠1
∠3
∠4
Not enough information
Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than ∠1
∠3, ∠4, ∠5, ∠7, ∠8
∠3, ∠4, ∠5, ∠6, ∠8
∠2, ∠6, ∠7, ∠8
∠2, ∠6, ∠8, ∠9
Use the Exterior Angle Inequality Theorem to list all angles that satisfy the stated condition: measures are less than ∠3
∠2, ∠6, ∠8, ∠9
∠1, ∠6, ∠8
∠5, ∠7, ∠8
∠2, ∠4, ∠7, ∠8
Which two angles are the remote interior angles to Angle A?
Angle C and Angle B
Angle D and Angle B
Angle C and Angle D
Angle B and Angle A
Which two angles are the remote interior angles to Angle W?
Angle X and Angle Y
Angle X and Angle Z
Angle Y and Angle Z
Angle Z and Angle W
What angle has a measure less than m∠4 ?
m∠1
m∠6
m∠8
m∠2
What angle has a measure greater than m∠8 ?
m∠5
m∠6
m∠3
m∠7
Complete the statement: FD ≅ _____
IK
KJ
JI
EF
A
B
C
D
which is true?
If ∆LMK ≅ ∆LMT, then ∠K ≅ ____
MT
∠T
∠M
∠L
Choose the correct congruence statement for the figures shown.
∆TUV ≅ ∆EUV
∆VUT ≅ ∆UVE
∆TUV ≅ ∆UEV
∆UTV ≅ ∆EUV
Complete the congruence statement.
CRP
PCR
RPC
PRC
Given ΔABC ≅ ΔDEF , find the value of x.
17
18
19
20
Determine whether the two figures are congruent.
Yes, corresponding sides are congruent.
Yes, corresponding angles are congruent.
Yes, corresponding sides and corresponding angles are congruent.
No, the two figure are not congruent.
A
B
C
D
which is true?
∠Y≅ _____
What is the similarity statement for the triangle pair?
ΔXYZ~ΔNEW
ΔXZY~ΔNWE
ΔZYX~ΔENW
ΔYZX~ΔNWE
∠Y≅ _____
ΔABD ≅ ΔABC
What is the length of AD?
10
11
14
15
In the figure below, ▵GFE ⩭ ▵DCB.
Determine the perimeter of ▵GFE
63
53
58
68
If ▵ABC ⩭ ▵IHG, what is the
length of AB?
12
8
5
20
If ▵ABC ⩭ ▵RQP, what is
the length of QP?
3
2
6
13
In the figure below, ▵ABC ⩭ ▵KLJ. Determine the length of AB.
19
4
24
9
In the figure above, ▵GFE ⩭ ▵DCB. Determine the perimeter of ▵GFE
15
98
50
63
ΔABE ≅ ΔCDE,If ∠D = 50°, then ∠AEB =
50°
40°
60°
90°
x = ?
60°
55°
15°
65°
The fronts of the houses are identical. What is the length of side LM?
12 ft
20 ft
32 ft
The fronts of the houses are identical. Side AB is congruent to side AE. What is the length of side AB?
12 ft
20 ft
32 ft
EFGH∼MATB
Which angle corresponds to ∠E
∠M
∠T
∠B
∠A
Remember order matters. Which of the following is true?
∆FGH ≡ ∆VHW
∆HFG ≡ ∆HWV
∆HGF ≡ ∆VHW
∆FGH ≡ ∆VWH
∠A =
∠M
∠N
∠L
CB = ?
∠I
GI
IB
BG
LK ≅ ?
JE
JF
EF
KJ
Remember order matters. Which of the following is true?
∆FGH ≅ ∆VHW
∆HFG ≅ ∆HWV
∆HGF ≅ ∆VHW
∆FGH ≅ ∆VWH
Which side of ΔDWY corresponds with side AC in ΔABC ?
Side WY
Side DW
Side DW
Given that ΔBAC≡ΔFED, which angle of ΔFED corresponds to ∠BAC?
∠EDF
∠DEF
∠DFE
Which triangle congruence theorem is shown?
SAS
ASA
SSS
SSA
Which triangle congruence theorem is shown?
ASA
HL
SSS
SAS
What does SAS~ mean?
Salsa And Starbucks Congruence
Sam And Sandy ~
Side Angle Side Congruence
Side Angle Starbucks ~
Are these triangles congruent?
Yes - RHS
Yes - SSA
Yes - SAS
No - They are different triangles
Are the two triangles congruent? What theorem would prove them congruent?
Not enough information to prove congruent
Congruent by SSA
Congruent by SAS
Congruent by SSS
Are the triangles congruent, if yes, why?
SSS
SAS
AAA
Not Congruent
ΔABE ≅ Δ_____ by _____
ΔCDE , ASA
ΔEDC , AAS
ΔCDE , AAS
Cannot Be Determined
ΔVXW ≅ Δ_____ by _____
ΔYXW , AAS
ΔYWX , AAS
ΔYXW , ASA
ΔYWX , ASA
ΔQTR ≅ Δ_____ by _____
ΔSTR , ASA
ΔSTR , AAS
ΔSRT , AAS
Cannot Be Determined
ΔTVS ≅ Δ_____ by _____
ΔTVU , ASA
ΔVTU , ASA
ΔTVU , SAS
Cannot Be Determined
<F = ___
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Identify the correct triangle congruence theorem.
ASA
AAS
Determine whether the triangles are congruent or not. If yes, find the correct congruency statement.
Yes ΔRTS≅ΔWVU by HL
Yes ΔSRT≅ΔWVU by ASA
Yes ΔSRT≅ΔWVU by SAS
Yes undefined by SAS
They are not congruent.
∆ABC and ∆CDA are congruent by the ____ triangle congruency theorem.
SSS
SAS
AAS
ASA
SSA
∆JMK and ∆LKM are congruent by the _____ triangle congruency theorem.
HL
SAS
AAS
ASA
SSA
∆JMK and ∆LKM are congruent by the _____ triangle congruency theorem.
SSS
SAS
AAS
Not enough information
SSA
∆ABC and ∆EDC are congruent by the _____ triangle congruency theorem.
SSS
SAS
HL
Not enough information
SSA
∆ABC and ∆EDC are congruent by the _____ triangle congruency theorem.
SSS
SAS
HL
Not enough information
SSA
The triangles are congruent by the _____ triangle congruency theorem.
SSS
SAS
ASA
AAS
SSA
The triangles are congruent by the _____ triangle congruency theorem.
HL
SSS
ASA
AAS
All of these!
The triangles are congruent by the _____ triangle congruency theorem.
Not enough information
SSS
ASA
AAS
SSA
The triangles are congruent by the _____ triangle congruency theorem.
Not enough information
SSS
ASA
AAS
SSA
Which one of these is NOT a valid triangle congruency theorem?
HL
SSS
SSA
AAS
ASA
What is #4 Statement?
All of correct
SP ≌ SP
PS ≌ SP
PS ≌ PS
What is #5 Statement?
∠QPR ≌ ∠STR
∠PQR ≌ ∠STR
∠QRP ≌ ∠TSR
∠QRP ≌ ∠TRS
What is #4 Reason?
Alternate Interior Angles
Vertical Angles
Reflexive Property
Angle Bisector
What is #2 Reason?
Perpendicular Lines
Perpendicular Bisector
Reflexive Property
Segment Bisector
What are #3 & #4 Statements?
#3 - Reflexive Property
#4 - Alternate Interior Angles
#3 - Reflexive Property
#4 - Vertical Angles
#3 - Segment Bisector
#4 - Vertical Angles
#3 - Segment Bisector
#4 - Reflexive Property
What is #3 Reason and #4 Statement?
#3 - Reflexive Property
#4 - ∠ACB ≌ ∠ECD
#3 - Definition of Midpoint
#4 - ∠ACB ≌ ∠ECD
#3 - Segment Bisector
#4 - ∠BCA ≌ ∠DCE
#3 - Reflexive Property
#4 - ∠BCA ≌ ∠DCE
