Free Printable Congruent Figures

1.

a)

B

b)

A

c)

D

d)

C

2.

a)

A

b)

B

c)

C

d)

D

3.

∠A ≅

a)

∠M

b)

∠N

c)

∠L

4.

Remember order matters. Which of the following is true?

a)

∆FGH ≅ ∆VHW

b)

∆HFG ≅ ∆HWV

c)

∆HGF ≅ ∆VHW

d)

∆FGH ≅ ∆VWH

5.

What does x equal?

a)

9

b)

11

c)

17

6.

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

a)

angle E

b)

angle F

c)

angle G

d)

angle H

7.

The figures are congruent. Name one pair of corresponding angles.

a)

Q and W

b)

R and Z

c)

S and Z

d)

T and P

8.

a)

A

b)

B

c)

C

d)

D

9.

$\overline{JK}\ \cong\ ?$

a)

$\overline{KX}$

b)

$\overline{JK}$

c)

$\overline{XJ}$

d)

$\overline{KI}$

10.

$\overline{CB}\ \cong\ ?$

a)

$\angle I$

b)

$\overline{GI}$

c)

$\overline{IB}$

d)

$\overline{BG}$

11.

$\overline{LK}\ \cong\ ?$

a)

$\overline{JE}$

b)

$\overline{JF}$

c)

$\overline{EF}$

d)

$\overline{KJ}$

12.

$\overline{ML}\ \cong\ ?$

a)

$\overline{CL}$

b)

$\overline{LD}$

c)

$\overline{DC}$

d)

$\overline{NL}$

13.

$\overline{BC}\ \cong\ ?$

a)

$\overline{XW}$

b)

$\overline{XY}$

c)

$\overline{YW}$

d)

$\overline{BC}$

14.

$\angle D\ \cong\ ?$

a)

$\angle X$

b)

$\angle W$

c)

$\angle Y$

d)

$\angle C$

15.

$\angle NLM\ \cong\ ?$

a)

$\angle DLC$

b)

$\angle D$

c)

$\angle N$

d)

$\angle C$

16.

$\angle EJF\ \cong\ ?$

a)

$\angle L$

b)

$\angle E$

c)

$\angle LJK$

d)

$\angle F$

17.

$\angle I\cong\ ?$

a)

$\angle X$

b)

$\angle XKJ$

c)

$\angle KJX$

d)

$\angle IJK$

18.

a)

Figures 1 and 4

b)

Figures 2 and 5

c)

Figures 2 and 3

d)

Figures 3 and 5

19.

a)

4m

b)

5m

c)

3m

d)

4.5m

20.

Congruent figures are the _______ shape and _______ size.

a)

Different, Same

b)

Same, Same

c)

Same, Different

d)

Different, Different

21.

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.

22.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

23.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

24.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

25.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

26.

Polygon FGH is congruent to polygon MNB. What side corresponds with line segment HF?

a)

MN

b)

NB

c)

BM

d)

MM

27.

Which of the following statements is true?

a)

∆BCA ≅ ∆DEF

b)

∆EFD ≅ ∆BAC

c)

∆ABC ≅ ∆FED

d)

∆EDF ≅ ∆BAC

28.

a)

3 inches

b)

5 inches

c)

90 inches

d)

4 inches

29.

1. Given the congruent polygons
DFGH ≅ QRST, If FG =12, DH = 15 and
m ∠ T = 110° then find the following…
QT = ___________ RS = ___________ and m∠ H = _______________

a)

QT = 15 RS = 12 and m∠ H =110°

b)

QT = 12 RS = 15 and m∠ H =110°

c)

QT = 15 RS = 12 and m∠ H =70°

d)

QT = 12 RS = 15 and m∠ H =70°

30.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

31.

Use the congruence statement and figure to find the missing part of the statement

a)

∠U

b)

∠RUT

c)

∠UTR

d)

∠R

32.

Use the congruence statement to find the missing part of the statement

a)

WV

b)

UW

c)

VU

d)

WB

33.

a)

30 degrees

b)

45 degrees

c)

105 degrees

34.

$If\ \Delta MPQ\cong\Delta ABC$ then which of the following are corresponding parts?

a)

$\overline{PQ}$ and $\overline{AB}$

b)

$\angle M\ and\ \angle P$

c)

$\angle M\ and\ \angle B$

d)

$\overline{QM\ }and\ \overline{CA}$

35.

∆ABC ≅ ∆LMN. What is the value of t?

a)

11

b)

5/2

c)

5

d)

30/7

36.

Given $\Delta ABC\ \cong\ \Delta DEF$ , find the value of x.

a)

17

b)

18

c)

19

d)

20

37.

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

(a)

38.

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

(a)

39.

$\Delta ABC\cong\Delta DEF.$ What is the $m\angle F$ ?

(a)

40.

These triangles are congruent. If ∠E is 45^o and ∠B is 55^o what is the measure of ∠C?

a)

45^o

b)

55^o

c)

80^o

d)

100^o

Congruent Figures

Total questions: 40

Worksheet time: 43mins

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