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Interactive video lesson plan for: Transformation-Reflection on a Coordinate Plane

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In this video you will learn how to create a simple reflection on a coordinate plane.

In this video I would like to talk about reflection on a coordinate plane.
A reflection is when an object is moved across the
line of axis. It is like a mirror­ image, and the axis is the line of symmetry.
Steps for setting up a reflection
1st Identify each ordered pair.
2nd ­Identify which axis you are reflecting over.
If you reflect across the x­ axis, the y ­ coordinate changes!
If you reflect across the y ­axis, the x ­ coordinate changes!
3rd ­Look at the ordered pairs and determine which number will become its opposite and which one stays the same.
4th ­Plot the new ordered pairs
5th ­Connect the points to create a REFLECTION or Mirror ­IMAGE.
Let’s look at an example of creating a reflection.
Let’s set up this first reflection and I already have the shape drawn in.
The coordinates are 2,-1 4,-1 5 -4, 1 -4 and I'm going to reflect over the x axis.
Therefore the x axis will stay the same and the y axis will change.
I will rewrite the coordinates and then we will plot them.
Since we are reflecting over the x it will remain the same so we will have 2,4 4 1 1 4 and 5 4
Now all I have to do is plot the numbers.
I will go 2 positive 1 the x is always first.
Then 4 positive 1
Then 1, 4, and finally 5 4 and then connect the dots.
You will see a nice reflection.
This is reflecting over the x, x stays the same and y changes.
Now what if we switch it up and reflect across the y axis?
We have a simple reflection.
We have 1, 2 and this time the y stays the same.
-1, 2, and then -1 and 4, and finally -3 and 3
Now we will graph these so now we have negative 1 and 2
Negative 1 and 4, and negative 3 and 3
I will connect the dots and you will see it is a reflection of that shape.
I'm reflecting over the y and the y coordinates stay the same, and the x coordinates change, and here is a reflection on the coordinate plane.

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Tagged under: reflection,transformation,coordinate plane,axis, axis, axis,graphing,plot

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