Grade 8 Unit 8 Part II
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. Each composite shape is made using 4 congruent right triangles. Which shape does not tessellate?
R
P
a. Shape P
____
b. Shape Q
V
K
d. Shape S
a.
b.
c.
d.
T
S
O
P
Q
R
Translation 4 units right and 2 units down
Translation 2 units right and 4 units down
180 rotation about O
90 clockwise rotation about O
3. Triangle MOL is a transformation image of Triangle PON. Describe the transformation.
R
Q
K
P
O
S
L
N
M
a. Reflection in the line SN
b. Reflection in the line RM
____
c. Shape R
2. Triangle OQS is a transformation image of Triangle WKV. Describe the transformation.
W
____
S
Q
c. 90 clockwise rotation about O
d. 90 counterclockwise rotation about O
4. This triangle is reflected in a horizontal line through the point (0, 9).
Graph the image of the triangle on the same coordinate grid.
18
16
Vertical axis
14
12
10
8
6
4
2
0
a.
2
12
14
c.
b.
16
16
14
14
12
12
10
8
10
8
6
6
4
4
2
2
2
4
6
8 10
Horizontal axis
12
0
14
d.
18
16
16
14
14
12
12
10
8
4
4
2
2
4
6
8 10
Horizontal axis
12
14
12
14
2
4
6
8 10
Horizontal axis
12
14
8
6
2
4
6
8 10
Horizontal axis
10
6
0
2
18
Vertical axis
Vertical axis
18
Vertical axis
Vertical axis
18
0
____
4
6
8 10
Horizontal axis
0
5. Quadrilateral QRSL is the transformation image of Quadrilateral HGFK. Describe the transformation.
P
H
G
Q
J
F
M
O
K
W
L
R
S
T
V
a. Reflection in the line JM
b. Reflection in the line PV
____
____
c. Translation 6 units right
d. 180 rotation about O
6. Which shape tessellates?
a.
b.
c.
d.
7. This L-shape below is used to create the design on its right.
Identify the transformations used.
a. Translations only
b. Reflections only
c. Rotations only
d. None of these
____
8. What shapes in this diagram can be obtained by a reflection of Shape X?
X
R
P
Q
T
S
V
W
a. R and S
b. P and W
c. R, S, and W
d. R, V, and T
Short Answer
9. a) Circle the polygons that tessellate.
 Regular octagon

 Regular hexagon  Rectangle
 Equilateral triangle
Regular pentagon


Quadrilateral
Regular heptagon
 Square


BONUS: b)
gaps.
For the polygons that cannot cover a plane without gaps, name a shape that would fill the
.
10. Use this diagram to identify each transformation.
V
P
 Rhombus
Q
R
T
S
a) Triangle R is the image of Triangle V.
b) Triangle R is the image of Triangle P.
11. Draw the image of this shape after each transformation.
a) Translation 4 units right and 6 units down
b) 90 clockwise rotation about point A
A
12. Jodi wants to tile her bedroom floor with octagons. This pattern shows part of the floor.
Does Jodi need another shape to cover the floor with no gaps? If so, what is it?
13. Which of these polygons tessellate?
A
B
C
D
E
14. Show how this polygon tessellates 2 different ways.
15. This is one of the pattern blocks, the trapezoid. Show how this shape tessellates 2 different ways.
Grade 8 Unit 8 Part II
Answer Section
MULTIPLE CHOICE
1. ANS:
LOC:
KEY:
2. ANS:
LOC:
KEY:
3. ANS:
LOC:
KEY:
4. ANS:
LOC:
KEY:
5. ANS:
LOC:
KEY:
6. ANS:
LOC:
KEY:
7. ANS:
REF:
TOP:
8. ANS:
REF:
TOP:
KEY:
C
PTS: 1
DIF: Moderate
8.SS6
TOP: Shape and Space (Transformations)
Conceptual Understanding | Problem-solving Skills
A
PTS: 1
DIF: Moderate
8.SS6
TOP: Shape and Space (Transformations)
Conceptual Understanding | Communication
C
PTS: 1
DIF: Moderate
8.SS6
TOP: Shape and Space (Transformations)
Conceptual Understanding | Communication
A
PTS: 1
DIF: Moderate
8.SS6
TOP: Shape and Space (Transformations)
Conceptual Understanding | Communication
B
PTS: 1
DIF: Difficult
8.SS6
TOP: Shape and Space (Transformations)
Conceptual Understanding | Communication
B
PTS: 1
DIF: Easy
8.SS6
TOP: Shape and Space (Transformations)
Conceptual Understanding
A
PTS: 1
DIF: Easy
8.6 Identifying Transformations in Tessellations
Shape and Space (Transformations)
A
PTS: 1
DIF: Difficult
8.6 Identifying Transformations in Tessellations
Shape and Space (Transformations)
Conceptual Understanding | Problem-solving Skills
REF: 8.5 Constructing Tessellations
REF: 8.4 Identifying Transformations
REF: 8.4 Identifying Transformations
REF: 8.4 Identifying Transformations
REF: 8.4 Identifying Transformations
REF: 8.5 Constructing Tessellations
LOC: 8.SS6
KEY: Conceptual Understanding
LOC: 8.SS6
SHORT ANSWER
9. ANS:
a) Polygons that tessellate are:
 Equilateral triangle
  Square
  Rectangle
  Rhombus
  Regular hexagon
b) A regular pentagon needs a rhombus to fill the gaps.
A regular octagon needs a square to fill the gaps.
PTS: 1
DIF: Difficult
REF: 8.5 Constructing Tessellations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Conceptual Understanding | Communication
10. ANS:
a) 90 counterclockwise rotation about the vertex the triangles share.
b) Translation 2 units right and 2 units down.
PTS: 1
DIF: Moderate
REF: 8.4 Identifying Transformations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Conceptual Understanding | Communication
11. ANS:
A
a)
b)
PTS: 1
DIF: Moderate
REF: 8.4 Identifying Transformations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Conceptual Understanding | Communication
12. ANS:
A square
PTS: 1
DIF: Easy
REF: 8.5 Constructing Tessellations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Conceptual Understanding | Problem-solving Skills
13. ANS:
All polygons except polygon C tessellate.
PTS: 1
DIF: Moderate
REF: 8.5 Constructing Tessellations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Conceptual Understanding | Problem-solving Skills
14. ANS:
Answers may vary. Sample:
PTS: 1
DIF: Difficult
REF: 8.5 Constructing Tessellations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Communication
15. ANS:
Answers may vary. Sample:
PTS: 1
DIF: Difficult
REF: 8.5 Constructing Tessellations
LOC: 8.SS6
TOP: Shape and Space (Transformations)
KEY: Conceptual Understanding | Communication | Problem-solving Skills