Free Printable HW Practice; Congruent figures

1.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

2.

Are these shapes congruent or not congruent?

a)

congruent

b)

not congruent

3.

Congruent shapes are exactly the same size and shape.

a)

true

b)

false

4.

State 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

5.

Two figures are congruent if they have the _______ shape and _______ size.

a)

Different, Same

b)

Same, Same

c)

Same, Different

d)

Different, Different

6.

Are these figures congruent?

a)

Yes

b)

No

7.

Are these figures congruent?

a)

Yes

b)

No

8.

∠A =

a)

∠M

b)

∠N

c)

∠L

9.

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

a)

$\overline{JE}$

b)

$\overline{JF}$

c)

$\overline{EF}$

d)

$\overline{KJ}$

10.

Which side of $\Delta DWY$ corresponds with side AC in $\Delta ABC$ ?

a)

Side WY

b)

Side DW

c)

Side DW

11.

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

a)

$\overline{CL}$

b)

$\overline{LD}$

c)

$\overline{DC}$

d)

$\overline{NL}$

12.

$\angle D\ \cong\ ?$

a)

$\angle X$

b)

$\angle W$

c)

$\angle Y$

d)

$\angle C$

13.

a)

4m

b)

5m

c)

3m

d)

4.5m

14.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

15.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

16.

a)

∆BCA ≅ ∆DEF

b)

∆EFD ≅ ∆BAC

c)

∆ABC ≅ ∆FED

d)

∆EDF ≅ ∆BAC

17.

Which is NOT a true statement?

a)

FG ≅ GH

b)

AB ≅ DC

c)

BA ≅ GH

d)

XY ≅ WZ

18.

3) This is the 1st level floor plan for an apartment. Which two rooms appear to be congruent?

a)

Family room and laundry

b)

Bath and hallway

c)

Family room and kitchen

d)

Kitchen and laundry

19.

9) Look at the coordinate grid above.

a)

b)

c)

d)

20.

What is true about congruent figures? (choose ALL that apply)

a)

all corresponding sides have the same measure

b)

all sides are equal

c)

all angles are equal

d)

all corresponding angles have the same measure

21.

A rotation is:

a)

A spin

b)

A flip

c)

A slide

d)

A change in size

22.

A reflection is:

a)

A spin

b)

A flip

c)

A slide

d)

A change in size

23.

A translation is:

a)

A spin

b)

A flip

c)

A slide

d)

A change in size

24.

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

a)

MN

b)

NB

c)

BM

d)

MM

25.

What does x equal?

a)

9

b)

11

c)

17

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.

What is the correct congruence statement? ΔDEC ≅________

a)

ΔAEB

b)

ΔEAB

c)

ΔBEA

d)

Not Congruent

28.

What side corresponds to ED?

a)

TA

b)

NA

c)

TN

d)

RD

29.

Solve for x

a)

8

b)

4

c)

12

d)

6

30.

PICK THE CORRECT CONGRUENCE STATEMENT

a)

∆TUV ≅ ∆EUV

b)

∆VUT ≅ ∆UVE

c)

∆TUV ≅ ∆UEV

d)

∆UTV ≅ ∆EUV

31.

Which shape is congruent to 1

a)

4

b)

5

c)

6

d)

7

32.

Which shape is congruent to 10

a)

2

b)

3

c)

11

d)

12

33.

Which shape is congruent to 5

a)

4

b)

9

c)

6

d)

1

34.

Which shape is congruent to 9

a)

1

b)

5

c)

6

d)

none

35.

Which shape is congruent to 12

a)

2

b)

4

c)

8

d)

none

36.

Which shape is congruent to F?

a)

E

b)

H

c)

G

d)

None

37.

What sequence of transformations will get you from shape 1 to shape 3 in two steps?

a)

Reflection, then Translation

b)

Translation, then Rotation

c)

Reflection, then Rotation

d)

Rotation, then Translation

38.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

39.

Tell whether the figures are congruent or not congruent.

a)

Congruent

b)

Not Congruent

40.

Tell whether the two figures are congruent. Explain your reasoning.

a)

Yes, same size and shape

b)

No, not same size

c)

No, not same shape

41.

The fronts of the houses are identical. What is the length of side LM?

a)

12 ft

b)

20 ft

c)

32 ft

42.

The fronts of the houses are identical. Which angle of JKLMN corresponds to angle D?

a)

J

b)

K

c)

L

d)

M

e)

N

43.

Are these two shapes congruent or not congruent?

a)

congruent

b)

not congruent

44.

Are these shapes congruent or not congruent?

a)

congruent

b)

not congruent

45.

Are these figures congruent?

a)

Yes

b)

No

46.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

47.

Congruent means...

a)

The same angles.

b)

The same size and same shape.

c)

Equal to.

d)

The same transformation.

48.

Which side of $\Delta DWY$ corresponds with side AC in $\Delta ABC$ ?

a)

Side WY

b)

Side DW

c)

Side DW

49.

ΔKHA ≅ ΔLED. What is true about the corresponding sides?

a)

KA ≅ LE; KH ≅ LD; HA ≅ ED

b)

KH ≅ LD; KA ≅ LE; HA ≅ ED

c)

KH ≅ LE; KA ≅ LD; HA ≅ ED

d)

HA ≅ LE; KA ≅ LD; KH ≅ ED

50.

Cody has 2 pieces of flooring pictured below.

If △SPR ≅ △ING, what is true about the sides?

a)

SP ≅ IN ; SR = NG ; PR ≅ IG

b)

SR ≅ IG; SP ≅ NG; PR ≅ IN

c)

SP ≅ IN ; SR ≅ IG ; PR ≅ NG

d)

PR ≅ NG; RS ≅ IN; SP ≅ IG

51.

Two figures are congruent if they have the _______ shape and _______ size.

a)

Different, Same

b)

Same, Same

c)

Same, Different

d)

Different, Different

52.

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

a)

∠U

b)

∠RUT

c)

∠UTR

d)

∠R

53.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

54.

How many lines of symmetry does this shape have?

a)

0

b)

1

c)

2

d)

4

55.

How many lines of symmetry does this shape have?

a)

1

b)

2

c)

3

d)

4

56.

Choose congruent, non-congruent, or similar for the image.

a)

Congruent

b)

Non-Congruent

c)

Similar

57.

Which of the following statements is true about congruent quadrilaterals?

a)

Congruent quadrilaterals have the same size and shape.

b)

Congruent quadrilaterals have the same size but different shape.

c)

Congruent quadrilaterals have the same shape but different size.

d)

Congruent quadrilaterals have neither the same size nor the same shape.

58.

Is Shape B congruent to Shape F?

a)

Yes

b)

No

59.

Which rectangle is congruent to rectangle F?

a)

B

b)

C

c)

E

d)

A

60.

Find the perimeter of rectangle B.

a)

10 units

b)

12 units

c)

6 units

d)

14 units

HW Practice; Congruent figures

Total questions: 60

Worksheet time: 2hrs 23mins

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