Translations

Solve the maze and be prepared to give directions.

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​example direction:

​instead of telling me to move to the left 2 spaces, say:

​move horizontally -2 units

​WARM-UP

Translations

Thursday December 2nd

​Labeling Points by their coordinates

​Always start by moving horizontally on the x-axis. This means going left or right.

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​Then we move vertically on the y-axis. This means going up or down.

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​X is before Y in the alphabet, so always right points as ( x , y )

​(x,y)

​Write your answer for the next slide Exactly like this!

​Translating a single point

​Start by writing the coordinates for point F.

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To Translate is to "slide" a figure around a plane.

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​In this case we need to take point F and slide it 8 units to the right and 2 units down. What are the new coordinates?

​(x,y)

​Write your answer for the next slide Exactly like this!

​Pre-image to Image

​When we perform a transformation on a figure, we start with a pre-image and end with an image.

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​arrow notation

​We have these transformation instructions. It is telling us that we need to slide our point 3 units to the left and 1 unit up.

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​Horizontally: -3

​Vertically: 1

​H:1 , V:2

​Write your answer for the next slide Exactly like this!

​arrow notation

Now we are given a translation and we have to write down the rule it used to slide our point q.

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​how did q (our pre-image) transform into q' ( our image)?

​Write it using arrow notation. Always start with the ordered pair ( x , y ) and then your arrow.

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​( x + 3 , y -1 )

​Write your answer for the next slide Exactly like this!

​Translating a figure

​If we can translate a single point, then we can translate a figure. All we have to do is translate every point we see.

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​Do the same exact transformation for every point. Follow the rules given and move each point one by one. All points are moved using the same rules.

​arrow notation with figures

​Remember that x deals with left and right, and y deals with up and down.

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Positive numbers represent going up or going right. Negative numbers represent going left or going down.

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​Uses the translation rules given to map your image from your pre- image.

Open Ended

Describe in your own words what the translation rule is

Writing translation rule​

​Use what we have learned to write the rule that describes the translation we see happening on our graph.

​( x + 3 , y -1 )

​Write your answer for the next slide Exactly like this!

​Last Question

​You need to give me the following:

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• ​Translate and graph your image

• ​labels for all points

• ​A table with all 8 coordinates

• ​and the rule in arrow notation