Topics
3. Geometry
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United States of AmericaFL
Grade 8

3.01 Translations on the coordinate plane

Lesson
Worksheet
Practice
Worksheet
Translations
1

Translate the given flag 1 unit up and 2 units to the right on the coordinate plane:

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4
x
1
2
3
4
y
2

Describe the translation involved in each of the following:

a

Moving from square A to square B.

b

Moving from square A to square C.

c

Moving from square A to square D.

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6
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3

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

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

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

a
1
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9
x
1
2
3
4
5
y
b
1
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7
8
9
x
1
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3
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5
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7
y
c
1
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3
4
5
6
7
8
x
1
2
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4
5
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7
8
9
y
d
1
2
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4
5
6
7
8
x
1
2
3
4
5
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7
8
9
10
11
y
e
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
f
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
y
g
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
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11
y
h
1
2
3
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5
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x
1
2
3
4
5
6
y
5

For each of the following, describe the translation from triangle ABC to triangle A'B'C':

a
-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
b
-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
c
-10
-8
-6
-4
-2
2
4
6
8
10
x
-10
-8
-6
-4
-2
2
4
6
8
10
y
d
-6
-4
-2
2
4
6
8
10
x
1
2
3
4
5
6
7
8
9
y
6

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

a
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
b
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
c
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
d
-8
-6
-4
-2
2
4
6
8
x
-8
-6
-4
-2
2
4
6
8
y
7

The point indicated on the coordinate plane is translated 4 units up.

Determine the coordinates of its new position.

-4
-3
-2
-1
1
2
3
4
x
-4
-3
-2
-1
1
2
3
4
y
8

Quadrilateral ABCD is to be translated 2 units up and 4 units to the left.

Determine the coordinates of the vertex A' of the translated rectangle.

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

A rectangle has been translated 8 units down. The translated rectangle is shown.

Draw the rectangle in its original position.

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10

A point has been translated 2 units left. The translated point is shown.

Plot the starting position of this point before it was translated.

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9
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11

A triangle has been translated 3 units left. The translated triangle is shown.

Draw the triangle in its original position.

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9
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12

A triangle has been translated 3 units up, then 2 units to the left. The translated triangle is shown.

Draw the triangle in its original position.

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9
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13

Point A is translated 3 units down and 4 units to the right, resulting in the image A'\left(5, - 2 \right).

Determine the coordinates of point A.

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Outcomes

MA.8.GR.2.1

Given a preimage and image generated by a single transformation, identify the transformation that describes the relationship.

MA.8.GR.2.3

Describe and apply the effect of a single transformation on two-dimensional figures using coordinates and the coordinate plane.

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