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Triangle Congruence - Missing Information

Total questions: 25

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
What information is missing to determine if the triangles are congruent by SAS?
a)
CA≅ NL
b)
∠C ≅ ∠N
c)
∠A ≅ ∠L
d)
∠B ≅ ∠M
2.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

IKDB\overline{IK}\cong\overline{DB}

b)

IJDC\overline{IJ}\cong\overline{DC}

c)

KB\angle K\cong\angle B

d)

ID\angle I\cong\angle D

3.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

RE\angle R\cong\angle E

b)

QRDE\overline{QR}\cong\overline{DE}

c)

SQFD\overline{SQ}\cong\overline{FD}

d)

SRFE\overline{SR}\cong\overline{FE}

4.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

BCFG\overline{BC}\cong\overline{FG}

b)

DBHF\overline{DB}\cong\overline{HF}

c)

DH\angle D\cong\angle H

d)

BF\angle B\cong\angle F

5.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

EQ\angle E\cong\angle Q

b)

EFDQ\overline{EF}\cong\overline{DQ}

c)

EFDQDF\angle EFD\cong\angle QDF

d)

EDFQFD\angle EDF\cong\angle QFD

6.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

WJ\angle W\cong\angle J

b)

LJWU\overline{LJ}\cong\overline{WU}

c)

UL\angle U\cong\angle L

d)

VJVW\overline{VJ}\cong\overline{VW}

7.

What additional information is required in order to know the triangles are congruent for the reason given?

a)

KBCACB\angle KBC\cong\angle ACB

b)

AK\angle A\cong\angle K

c)

KBAC\overline{KB}\cong\overline{AC}

d)

ABCKCB\angle ABC\cong\angle KCB

8.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not enough information
9.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not enough information
11.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
12.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not enough information
13.
State if the two triangles are congruent.  If they are, state how you know.
a)
A
b)
B
c)
C
d)
D
14.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
15.

IF THESE TRIANGLES ARE CONGRUENT,

WHAT THEOREM PROVES THIS?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

16.

IF THESE TRIANGLES ARE CONGRUENT,

WHAT THEOREM PROVES THIS?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

17.

IF THESE TRIANGLES ARE CONGRUENT,

WHAT THEOREM PROVES THIS?

a)

SSS

b)

SAS

c)

ASA

d)

AAS

18.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
19.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
20.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
21.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
22.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
23.

If ∆PIG ≅ ∆COW, WO≅?

a)

GI

b)

PI

c)

PG

d)

<G

24.

Which angle is included between sides BC and AC

a)

Angle A

b)

Angle B

c)

Angle C

25.

Which of these is a triangle congruence statement?

a)

AB DE\overline{AB\ }\ \cong\ \overline{DE}

b)

<A<D, <B<E, <C<F<A\cong<D,\ <B\cong<E,\ <C\cong<F

c)

ΔABC ΔDEF\Delta ABC\ \cong\Delta DEF

d)

All of the above are triangle congruence statements