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Triangle Congruence Missing Information

Total questions: 10

Worksheet time: 18mins

Name
Class
Date
1.
Which of the following cannot be used to prove triangles congruent?
a)
HL
b)
AAA
c)
SSS
d)
SAS
2.
What information is missing to determine if the triangles are congruent by HL?
a)
∠G ≅ ∠X
b)
∠H ≅ ∠W
c)
GI ≅ XV
d)
GH ≅ XW
3.
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
4.

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

5.

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}

6.

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

7.

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

8.

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}

9.

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

10.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible