Topics
7. Geometry
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CanadaON
Grade 8

7.03 Transformations

Lesson
Worksheet
Practice
Worksheet
Rigid transformations
1

State whether the following pairs of triangles are a translation, rotation or reflection of one another:

a
b
c
2

For each of the following, describe the translation from figure A to figure B:

a
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
b
1
2
3
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5
6
7
8
x
1
2
3
4
5
6
7
8
y
c
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
d
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
9
10
y
e
1
2
3
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5
6
7
8
x
1
2
3
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5
6
7
8
y
f
1
2
3
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5
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9
10
x
1
2
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8
y
g
1
2
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6
x
1
2
3
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7
8
y
h
1
2
3
4
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6
7
x
1
2
3
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8
y
3

Determine whether the following diagrams show a reflection across the given line:

a
1
2
3
4
5
6
7
8
9
x
1
2
3
4
5
6
7
8
9
y
b
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
c
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
d
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
e
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
4

Consider the following shape:

Draw the shape after it has been rotated by 180 \degree clockwise about point A.

1
2
3
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6
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10
11
x
1
2
3
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10
11
y
5

For each of the following:

i

Find the clockwise angle of rotation of shape A to shape B about point O.

ii

Find the anticlockwise angle of rotation of shape A to shape B about point O.

a
1
2
3
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x
1
2
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7
8
y
b
1
2
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4
5
6
7
x
1
2
3
4
5
6
7
8
9
y
6

Consider the figures shown:

a

What type of transformation can take triangle A to triangle B?

b

Identify the transformation from triangle A to triangle B.

-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
x
-7
-6
-5
-4
-3
-2
-1
1
2
3
4
5
6
7
y
7

Consider the figures shown:

a

What type of transformation can transform quadrilateral A to quadrilateral B?

b

Identify the transformation from quadrilateral A to quadrilateral B.

-8
-6
-4
-2
2
4
6
8
x
-9
-8
-7
-6
-5
-4
-3
-2
-1
1
y
8

Consider the figures shown:

a

What type of transformation can transform triangle A to triangle B?

b

Identify the transformation from triangle A to triangle B.

-7
-6
-5
-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
5
6
7
y
9

Consider the figures shown.

What are the possible types of transformations that could get rectangle A to rectangle B?

-8
-6
-4
-2
2
4
6
8
x
-1
1
2
3
4
5
6
7
8
9
y
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Outcomes

8.E1.1

Identify geometric properties of tessellating shapes and identify the transformations that occur in the tessellations.

8.E1.4

Describe and perform translations, reflections, rotations, and dilations on a Cartesian plane, and predict the results of these transformations.

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