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WorksheetsHW: Lesson 4-4 to 4-6 Review
Total questions: 152
Worksheet time: 4hrs 20mins
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
What does AAS stand for?
Angle-Angle-Side
Side-Angle-Side
Angle-Side-Angle
Side-Side-Side
What does ASA stand for?
Angle-Angle-Side
Side-Angle-Side
Angle-Side-Angle
Side-Side-Side
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
Are the triangles congruent?
Yes, by AA≅
Yes, by AAS≅
Yes, by ASA≅
Yes, by SAS≅
Not enough information
What is the "statement" for step 3 of the proof?
HA=HA
HA=AH
MA=AM
MA=MA
What is the "statement" for step 4 of the proof?
What is the "statement" for step 5 of the proof?
Supply the missing reasons to complete the proof.
Given: ∠Q ≅ ∠T; QR ≅ TR
3. ASA
4.Substitution
3. SAS
4. CPCTC
3. AAS
4. CPCTC
3. ASA
4. CPCTC
Determine if the two triangles are congruent. If they are, state the postulate.
SAS
AAS
Not enough information
SSS
Determine if the two triangles are congruent. If they are, state the postulate.
ASA
SAS
Not enough information
AAS
Determine if the two triangles are congruent. If they are, state the postulate.
ASA
SAS
SSS
Not enough information
Determine if the two triangles are congruent. If they are, state the postulate.
ASA
AAS
Not enough information
SSS
Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.
SSS
AAS
N/A
ASA
Are the two triangles congruent? If they are, select the correct congruence postulate. If there is not enough information, select N/A.
SSS
AAS
ASA
N/A
Which congruency statement can be written for the triangles pictured?
ΔABC ≅ ΔEDC
ΔACB ≅ ΔEDC
ΔECD ≅ ΔCAB
ΔBCA ≅ ΔDEC
<F = ___
Given
ΔABC ≅ΔDEF∠A ≅ ?
∠D
∠E
∠F
∠C
Given
ΔABC ≅ΔDEF∠C ≅ ?
∠D
∠E
∠F
∠A
Given
ΔABC ≅ΔDEF∠F ≅ ?
∠A
∠B
∠C
∠D
Given
ΔABC ≅ΔDEFBC ≅ ?
DE
EF
DF
FE
Given
ΔABC ≅ΔDEFCA ≅ ?
DE
EF
DF
FD
ΔPET≅ΔDOG
Which of the following are TRUE
∠P≅∠D
TE≅GO
∠T≅∠O
TP≅GD
TE≅OG
Which congruence theorems apply to RIGHT triangles
AAS
SSS
ASA
HL
SAS
Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?
Which congruence theorems would show that the two right triangles are congruent?
AAS
SSS
ASA
HL
SAS
What theorem can be used to show that ABC ≅ DEF?
AAS
SSS
ASA
HL
SAS
For the figures shown, which information can be used to show that ABC ≅ DEF?
Select all that apply.
m∠D + m∠E = 90°
m∠D = 37°
∠E ≅ ∠B
∠F is a right angle
What additional information is needed to show that ΔABC ≅ ΔDEF by HL ? (Hint: write your answer in the form A=27 no spaces; use upper case for an angle, lower case for a side)
(a)
Which congruence theorems apply to triangles that are NOT right triangles?
AAS
SSS
ASA
HL
SAS
Which pair of triangles can be proven congruent using the Hypotenuse-Leg Theorem?
Which congruence theorems would show that the two right triangles are congruent?
AAS
SSS
ASA
HL
SAS
What theorem can be used to show that ABC ≅ DEF?
AAS
SSS
ASA
HL
SAS
Identify the missing statement or reason
Reflexive Property
Definition of Midpoint
Given
Vertical Angles Theorem
What is a hypotenuse?
The longest side in any triangle
The side opposite to the right angle in a right-angled triangle
The side adjacent to the right angle in a right-angled triangle
Hypotenuse is a special kind of angle
State if the triangles are congruent or not. If they are, state how you know.
Yes - by SSS
Yes - by ASA
Yes - by HL
Yes - by AAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by SSS
Yes - by ASA
Yes - by HL
Yes - by AAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by SSS
Yes - by ASA
Yes - by HL
Yes - by AAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by SSS
Yes - by ASA
Yes - by HL
Yes - by AAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by SSS
Yes - by ASA
Yes - by HL
Yes - by SAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by SSS
Yes - by ASA
Yes - by HL
Yes - by SAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by AAS
Yes - by ASA
Yes - by HL
Yes - by SAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by AAS
Yes - by ASA
Yes - by HL
Yes - by SAS
Not congruent
State if the triangles are congruent or not. If they are, state how you know.
Yes - by AAS
Yes - by ASA
Yes - by HL
Yes - by SAS
Not congruent
State what additional information is required in order to know that the triangles are congruent for the reason given.
RS≅QS
RS≅QD
∠QRS≅∠QDS
DS≅SQ
ΔKNM is congruent to ΔPLM. They have _______ in common.
Identify any common angles or sides.
JK
KL
△CDG and △FCE share ______ .
∠C
∠E
∠F
∠D
Which is the common part between triangles LKO and NOK?
KO
LK
<KPO
<POK
Triangles BDC and CEB share side _____ .
AB
EB
CB
CD
Name a side or angle that is overlapping.
∠Y
ZY
YT
NP
According to the diagram, which statement is true?
Triangle DEH is congruent to triangle GFH by AAS
Triangle DEH is congruent to triangle GFH by SAS
Triangle DEF is congruent to triangle GFE by AAS
Triangle DEF is congruent to triangle GFE by SAS
Separate and redraw the indicated triangles. Identify any common side(s).
ΔABC and ΔDCB
BC
CD
AB
There is not a common side
Separate and redraw the indicated triangles. Identify any common angle(s).
ΔABC and ΔDCB
∠A
∠B
∠C
There is not a common angle
Separate and redraw the indicated triangles. Identify any common side(s).
ΔEFG and ΔHGF
EF
FG
GH
There is not a common side
Separate and redraw the indicated triangles. Identify any common angle(s).
ΔEFG and ΔHGF
∠F
∠G
∠H
There is not a common angle
Separate and redraw the indicated triangles. Identify any common side(s).
ΔJML and ΔNKL
JL
LN
KN
There is not a common side
Separate and redraw the indicated triangles. Identify any common angle(s).
ΔJML and ΔNKL
∠M
∠K
∠L
There is not a common angle
Separate and redraw the indicated triangles. Identify any common side(s).
ΔBYA and ΔCXA
AB
YB
AC
There is not a common side
Separate and redraw the indicated triangles. Identify any common angle(s).
ΔBYA and ΔCXA
∠A
∠B
∠X
There is not a common angle
Separate and redraw the indicated triangles. Identify any common side(s).
ΔGEH and ΔFEH
HF
EH
EG
There is not a common side
Separate and redraw the indicated triangles. Identify any common angle(s).
ΔGEH and ΔFEH
∠E
∠H
∠F
There is not a common angle
Separate and redraw the indicated triangles. Identify any common side(s).
ΔMPN and ΔMOQ
NM
PM
OM
There is not a common side
Separate and redraw the indicated triangles. Identify any common angle(s).
ΔMPN and ΔMOQ
∠M
∠Q
∠P
There is not a common angle
The given triangles are congruent. Identify their common side.
ΔADC and ΔBCD
DC
AC
BD
There is not a common side
The given triangles are congruent. Identify their common angle.
ΔADC and ΔBCD
∠D
∠C
∠B
There is not a common angle
The given triangles are congruent. Identify their common side.
ΔKNJ and ΔKML
JK
NK
LM
There is not a common side
The given triangles are congruent. Identify their common angle.
ΔKNJ and ΔKML
∠J
∠K
∠L
There is not a common angle
The given triangles are congruent. Identify their common side.
ΔUXV and ΔVWU
UV
XV
UW
There is not a common side
The given triangles are congruent. Identify their common angle.
ΔUXV and ΔVWU
∠W
∠V
∠X
There is not a common angle
The given triangles are congruent. Identify their common side.
ΔQTR and ΔSRT
RS
TR
TQ
There is not a common side
The given triangles are congruent. Identify their common angle.
ΔQTR and ΔSRT
∠T
∠R
∠S
There is not a common angle
The given triangles are congruent. Identify their common side.
ΔEGH and ΔEGF
EG
HF
HG
There is not a common side
The given triangles are congruent. Identify their common angle.
ΔEGH and ΔEGF
∠E
∠F
∠G
There is not a common angle
The given triangles are congruent. Identify their common side.
ΔYNI and ΔYPZ
PZ
YP
IN
There is not a common side
The given triangles are congruent. Identify their common angle.
ΔYNI and ΔYPZ
∠Z
∠N
∠Y
There is not a common angle
WHAT THEOREM PROVES THIS?
