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Worksheets

Tessellation & Congruence

Total questions: 30

Worksheet time: 2hrs 30mins

Name
Class
Date
1.

What is a tessellation?

a)

One shape

b)

Repeated shapes on a Surface

c)

A Pattern

d)

A Painting

2.

Which of these images represents a tessellation?

a)
b)
c)
d)
3.

What animal can be seen in the tessellation in the image?

a)

Elephants

b)

Lizards

c)

Alligators

d)

Chameleons

4.

What shapes make up the tessellation in the image?

a)

Triangles and Squares

b)

Triangles and Rectangles

c)

Triangles and Triangles

d)

Triangles and Hexagons

5.

Can this pentagon shape tessellate?

a)

yes

b)

no

6.

Can a circle tessellate?

a)

yes

b)

no

7.

Can this nonagon shape tessellate?

a)

yes

b)

no

8.

shapes that used to cover a surface with no gaps between them is called ....

a)

tessellation

b)

wall

c)

floor

9.

Is the tiling pattern a tessellation? why?

a)

yes, because there is no gaps

b)

no, because there are gaps

c)

yes, because there are gaps

10.

Is the pattern a tessellation?

a)

yes

b)

no

c)

I do not know

11.

Which of these images represents a tessellation?

a)
b)
c)
12.

Which of these images doesn't represent a tessellation?

a)
b)
c)
13.

What character is in this tessellation?

a)

Daffy Duck

b)

Daisy Duck

c)

Donald Duck

d)

Bugs Duck

14.

Can this be considered a tessellation where figures were reflected?

a)

Yes, of course!

b)

Definitively not.

15.

M.C. Escher was an artist that used rotation, reflection and translation to make art. Are these pieces considered tessellations?

a)

Yes, they fill the gaps with no overlaps.

b)

No, they have gaps and overlaps.

16.
Are the triangles congruent?
a)
Yes
b)
No
17.
How are the triangles congruent?
a)
AAS
b)
SAS
c)
ASA
d)
SSS
18.
How are the triangles congruent?
a)
SAS
b)
SSS
c)
AAS
d)
HL
19.
How are the triangles congruent?
a)
HL
b)
SAS
c)
ASA
d)
AAS
20.
How are the triangles congruent?
a)
Not congruent
b)
AAS
c)
SAS
d)
ASA
21.
How are the triangles congruent?
a)
ASA
b)
AAS
c)
SAS
d)
SSS
22.
How are the triangles congruent?
a)
ASA
b)
SAS
c)
AAS
d)
SSS
23.

How will you represent the two triangles in congruence?

a)

△ABC ≅ △PQR

b)

△BAC ≅ △PQR

c)

△ABC ≅ △RPQ

d)

△ACB ≅ △PQR

24.

Figures that have the same _____ and size are congruent triangles

a)

corresponding

b)

angles

c)

shape

d)

corner

25.
If  Δ ABC ≅ Δ DEF , which angle is congruent to angle B?
a)
∠E
b)
∠D
c)
∠C
26.
Are these triangles similar?
a)
Yes
b)
No
27.
The pair of figures is similar. Find the missing side.
a)
x = 12
b)
x = 3
c)
x = 40
d)
x = 4
28.
What does SAS stand for?
a)
Side-Angle-Side
b)
Super-Awesome-Side
c)
Side-Angle-Supersized
d)
Sensationally Awesome Superman
29.

Find the length of segment PQ.

a)

15

b)

14

c)

60

d)

16

30.
Determine if the two figures below are congruent by using transformations.
a)
yes
b)
no