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Worksheets

Congruence

Total questions: 28

Worksheet time: 25mins

Name
Class
Date
1.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
2.
Complete the congruence statement.
a)
OEG
b)
OGE
c)
EGO
d)
GOE
3.
Use the congruency statement to answer the following: 
<F = ___
a)
<H
b)
<I
c)
<G
d)
not congruent to another angle
4.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
5.
∆EHG≅∆KFC
Which is a true statement?
a)
EH≅FK
b)
HG≅KF
c)
EG≅KC
d)
∠E≅∠C
6.
∆ABC ≅ ∆LMN. Which statement is NOT true?
a)
LM ≅ AB
b)
∆CAB ≅ ∆NLM
c)
∠C ≅ ∠N
d)
BC ≅ ML
7.
a)
A
b)
B
c)
C
d)
D
8.
 ∠A ≅ ?
a)
∠M
b)
∠N
c)
∠L
9.
∆JIK ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
10.
∆ISR ≅
a)
∆TRS
b)
∆RST
c)
∆STR
d)
∆TSR
11.
If ∆PIG ≅ ∆COW, WO≅?
a)
GI
b)
PI
c)
PG
12.
The triangles are congruent. Which of the following statements must be true?
a)
∠A ≅ ∠D
b)
∠B ≅ ∠E
c)
AB ≅ DE
d)
BC ≅ FD
13.
Given the diagram, which of the following must be true?
a)
∆XSF ≅ ∆XTG
b)
∆SXF ≅ ∆GXT
c)
∆FXS≅ ∆XGT
d)
∆FXS ≅ ∆GXT
14.
This symbol means congruent
a)
b)
c)
d)
Δ
15.
Which statement indicates that the triangles in each pair are congruent.
a)
∆LMK ≅ ∆LMT
b)
∆LMK ≅ ∆TMK
c)
∆LTKM ≅ ∆LMT
d)
∆TMK ≅ ∆TLK
16.

ΔDEFΔJKL.\Delta DEF\cong\Delta JKL.  Which of the following congruency statement is NOT true.

a)

KLDE\overline{KL}\cong\overline{DE}  

b)

EFKL\overline{EF}\cong\overline{KL}  

c)

FDLJ\overline{FD}\cong\overline{LJ}  

d)

JKDE\overline{JK}\cong\overline{DE}  

17.

ΔDEFΔJKL. \Delta DEF\cong\Delta JKL.\  Which of the following congruency statements is NOT true?

a)

KE\angle K\cong\angle E  

b)

LF\angle L\cong\angle F  

c)

JD\angle J\cong\angle D  

d)

EL\angle E\cong\angle L  

18.
What is the correct congruence statement?  ΔDEC ≅________
a)
ΔAEB
b)
ΔEAB
c)
ΔBEA
d)
Not Congruent
19.
∠A ≅∠?
a)
∠B
b)
∠E
c)
∠D
d)
∠F
20.
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.
21.

What are Corresponding Parts

a)

The same triangle.

b)

When two figures are congruent.

c)

Sides or angles that are in the same or matching position.

d)

Another word for perimeter.

22.

What angle corresponds to Angle E?

a)

Angle S?

b)

Angle T?

c)

Angle R

23.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side XY?

a)

TR

b)

RS

c)

ST

24.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side ZX?

a)

TR

b)

ST

c)

SR

25.

Which of the following correctly identifies the 3 congruence statements for the vertices?

a)

LP, MQ, NP\angle L\cong\angle P,\ \angle M\cong\angle Q,\ \angle N\cong\angle P  

b)

NQ, MN, PL\angle N\cong\angle Q,\ \angle M\cong\angle N,\ \angle P\cong\angle L  

c)

LP, MP, NP\angle L\cong\angle P,\ \angle M\cong\angle P,\ \angle N\cong\angle P  

d)


LQ, MP, NN\angle L\cong\angle Q,\ \angle M\cong\angle P,\ \angle N\cong\angle N  

26.
Tell whether the two figures are congruent.
a)
Yes, same size and same shape
b)
No, same shape but different sizes
c)
No, different size and different shapes
27.

Which is the correct way to name ∠q?

a)

∠RPQ

b)

∠QPR

c)

∠PQR

28.

Given: ΔABCΔDEF\Delta ABC\cong\Delta DEF   Select ALL the true statements.

a)

CE\angle C\cong\angle E  

b)

CADFCA\cong DF  

c)

EB\angle E\cong\angle B  

d)

BCDFBC\cong DF  

e)

AD\angle A\cong\angle D