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Corresponding Parts of Congruent Figures

Total questions: 51

Worksheet time: 3hrs 31mins

Name
Class
Date
1.

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.

2.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side XY?

a)

TR

b)

RS

c)

ST

3.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side YZ?

a)

TR

b)

RS

c)

ST

4.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side ZX?

a)

TR

b)

ST

c)

SR

5.

What angle corresponds to Angle E?

a)

Angle S?

b)

Angle T?

c)

Angle R

6.

What angle corresponds to Angle D?

a)

Angle S?

b)

Angle T?

c)

Angle R

7.

What side corresponds to side EF?

a)

Side TR

b)

Side ST

c)

Side RS

8.

What side corresponds to side DE?

a)

Side TR

b)

Side ST

c)

Side RS

9.

Write the congruence statement. Triangle EFD is congruent to...

a)

Triangle TRS

b)

Triangle STR

c)

Triangle RST

10.

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  

11.

Which congruency statement is NOT true?

a)

LM QP\overline{LM\ }\cong\overline{QP}

b)

NP NM\overline{NP\ }\cong\overline{NM}

c)

LN PQ\overline{LN\ }\cong\overline{PQ}

d)

QN LN\overline{QN\ }\cong\overline{LN}

12.

Quadrilateral MNOPQuadrilateral TSVU.Quadrilateral\ MNOP\cong Quadrilateral\ TSVU.  What is the length of  TU\overline{TU}  ?

a)

16 km

b)

39 km

c)

51 km

d)

21 km

13.

Quadrilateral MNOPQuadrilateral TSVU.Quadrilateral\ MNOP\cong Quadrilateral\ TSVU.  What is the  mVm\angle V  ?

a)

43°43\degree  

b)

69°69\degree  

c)

136°136\degree  

d)

112°112\degree  

14.

Quadrilateral MNOPQuadrilateral TSVU.Quadrilateral\ MNOP\cong Quadrilateral\ TSVU.  What is the length of  NO\overline{NO}  

a)

51 km

b)

21 km

c)

39 km

d)

16 km

15.

Quadrilateral MNOPQuadrilateral TSVU.Quadrilateral\ MNOP\cong Quadrilateral\ TSVU.  What is the length of  ST\overline{ST}  ?

a)

51 km

b)

21 km

c)

16 km

d)

39 km

16.

ΔMNPΔVTS.\Delta MNP\cong\Delta VTS.  What is the value of x?

a)

24

b)

38

c)

14.5

d)

40

17.

ΔMNPΔVTS.\Delta MNP\cong\Delta VTS.  What is the value of y?

a)

11

b)

23

c)

12

d)

20

18.
ΔEDF ≅ Δ____
a)
ABC
b)
CAB
c)
BAC
19.
ΔEDF ≅ Δ____
a)
ABC
b)
CAB
c)
BAC
20.

If the measure of Q\angle Q = 30°30\degree   what other angle is 30°30\degree  

a)

U\angle U  

b)

V\angle V  

c)

W\angle W  

d)

S\angle S  

21.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
22.

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.

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 YZ?

a)

TR

b)

RS

c)

ST

25.

ΔXYZΔTRS\Delta XYZ\cong\Delta TRS  

Which side corresponds to side ZX?

a)

TR

b)

ST

c)

SR

26.

What angle corresponds to Angle E?

a)

Angle S?

b)

Angle T?

c)

Angle R

27.

What angle corresponds to Angle D?

a)

Angle S?

b)

Angle T?

c)

Angle R

28.
∠E ≅ ∠ __
a)
A
b)
B
c)
C
d)
D
29.
Which statement is always true about two congruent polygons?
a)
Corresponding sides are always congruent.
b)
Corresponding angles are always right angles.
c)
Corresponding sides are always parallel.
d)
They are the same shape but different size.
30.
Which statement is always true about two congruent polygons?
a)
The number of angles & sides is always the same.
b)
Corresponding sides are always parallel.
c)
Corresponding angles are always right angles.
d)
They can be different sizes.
31.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

32.

In quadrilateral ABCD angle C corresponds with with angle in quadrilateral EFGH?

a)

angle E

b)

angle F

c)

angle G

d)

angle H

33.
Matching sides are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Sides
34.
Matching angles are called
a)
Corresponding Sides
b)
Corresponding Angles
c)
The Same
d)
Congruent Angles
35.

CB  ?\overline{CB}\ \cong\ ?  

a)

I\angle I  

b)

GI\overline{GI}  

c)

IB\overline{IB}  

d)

BG\overline{BG}  

36.

LK  ?\overline{LK}\ \cong\ ?  

a)

JE\overline{JE}  

b)

JF\overline{JF}  

c)

EF\overline{EF}  

d)

KJ\overline{KJ}  

37.

What does it mean for figures to be congruent?

a)

The number of sides must be the same.

b)

The figure must be exactly the same shape and size.

c)

The figures must be turned all in one direction.

d)

The name of the shape must be the same but they can be different sizes.

38.
Which is NOT true of congruent shapes?
a)
They have the same area.
b)
They can face different directions. 
c)
Their interior angles can be different. 
d)
They can have different coordinates. 
39.

Write congruence statements comparing the corresponding parts in the congruent figures shown.

a)
b)
c)
d)
40.

Write congruence statements comparing the corresponding parts in the congruent figures shown.

a)
b)
c)
d)
41.

Write congruence statements comparing the corresponding parts in the congruent figures shown.

a)
b)
c)
d)
42.

Which figure(s) is/are congruent to B?

a)

all

b)

none

c)

D

d)

D,E

43.
a)
4m
b)
5m
c)
3m
d)
4.5m
44.
Identify the corresponding parts
a)
Side JL and Side ST
b)
Angle L and Angle S
c)
Side JK and Side UT
d)
All of the above
45.

Two figures or objects are congruent if they have the same size and shape.

a)

True

b)

False

46.
Complete the congruence statement.
a)
CRP
b)
PCR
c)
RPC
d)
PRC
47.

∠E ≅ ∠ __

a)

A

b)

B

c)

C

d)

D

48.

Congruent polygons have an equal number of sides, and all the corresponding sides and angles are ________.

a)

different

b)

congruent

49.

Congruent figures have exactly the same (a)   and the same shape.

50.

Line segments are congruent if they have the same (a)   .

51.

Angles are congruent if they have the same?

a)

length

b)

width

c)

measure

d)

height