Translations on the Coordinate Plane

​Chapter 7 - Transformations

Translations

​Performing a Translation

​Identifying a Translation

​Describing a Translation

Example 1

Graphing

Translate ABCD 3 units left and 4 units down. Plot the final 4 points on the graph at the right.

Graphing

Translate MNP (the 3 points on the graph) 6 units right and 3 units down. Plot the final 3 points on the graph at the right.

Graphing

Translate GHJK (the 4 points on the graph) 8 units left and 2 units up. Plot the final 4 points on the graph at the right.

Example 2

Drag and Drop

Describe the translation at the left.



4 units to the​

Placeholder

and 5 units​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

left

down

right

up

Drag and Drop

Describe the translation at the left.



2 units to the​

Placeholder

and 3 units​

Placeholder

Drag these tiles and drop them in the correct blank above

right

up

left

down

Multiple Choice

Identify the translation at the left.

• 9 units right and 4 units down

• 9 units left and 4 units u

• 4 units left and 9 units up

• 4 units right and 9 units down

Let's review some vocabulary

Dropdown

A translation is an operation that maps an original figure called the​

Select answer

onto a new figure called the ​

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Dropdown

On the graph to the left, ​

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is the preimage and ​

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is the image.

Identify the translation at the left:

Write the translation in Coordinate notation:

h represents the:


k represents the:

Example 3

​The arrows below show that the coordinates on the left are mapped to the coordinates on the right. Fill in the blanks to give the coordinates after the translation.

Multiple Choice

Write the rule that describes the translation to the left.

• $$\left(x+4,\ y-2\right)$$

• $$\left(x+2,\ \ y-4\right)$$

• $$\left(x-4,\ \ y+2\right)$$

• $$\left(x-2,\ \ y+4\right)$$

Dropdown

Describe the translation from the primage to the image:

​

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4 and ​

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3



Write the rule:

( x ​

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, y​

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)

Dropdown

Describe the translation from the primage to the image:

​ ​

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1 and ​

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7



Write the rule:

( x ​

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, y​

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)

Dropdown

In the coordinate plane, the point V ( -2, 4) is translated to the point V'( 2, 2) . Plot the points (you may use the graph at the left). Then, describe the translation from the point V to point V'

​ ​

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4 and ​

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2



Write the rule:

( x ​

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, y​

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)

Fill in the Blanks

Under the same translation as the previous question, apply the rule $\left(x,y\right)\rightarrow\left(x+4,\ y-2\right)$ to the point $H\left(-4,7\right)$

Fill in the Blanks

Under the same translation as the previous question, apply the rule $\left(x,y\right)\rightarrow\left(x+4,\ y-2\right)$ to the point $S\left(-5,2\right)$

Open Ended

Describe a Translation in your own words.