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By Satendra Pratap Singh. Brain storming What is a transformation??? In mathematics, a transformation in elementary terms is any of a variety of different.

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Presentation on theme: "By Satendra Pratap Singh. Brain storming What is a transformation??? In mathematics, a transformation in elementary terms is any of a variety of different."— Presentation transcript:

1 By Satendra Pratap Singh

2 Brain storming

3 What is a transformation??? In mathematics, a transformation in elementary terms is any of a variety of different operations from geometry, such as rotations, reflections and translations. Transformation is also known as mappings. A transformation is a translation, reflection or rotation which can change the size, shape or position of an object from one place to another. In mathematics, a transformation in elementary terms is any of a variety of different operations from geometry, such as rotations, reflections and translations. Transformation is also known as mappings. A transformation is a translation, reflection or rotation which can change the size, shape or position of an object from one place to another.

4 Contents The four transformation that I chose are- The four transformation that I chose are- Reflection Reflection What is a reflection. What is a reflection. The object The object The reflection of that object The reflection of that object Translation Translation What is a translation. What is a translation. The object. The object. The translation of that object. The translation of that object.

5 Contents Rotation Rotation What is a rotation. What is a rotation. The object. The object. The reflection of the object. The reflection of the object. Enlargement Enlargement What is a enlargement. What is a enlargement. The object. The object. The reflection of the object. The reflection of the object.

6 Reflection A reflection transforms an object to its mirror image. Example, if d is as an object, then the reflection of this object will be b. This is known as reflection. To reflect an object there should be an axis in the middle and also to reflect any thing you should know that to which axis you are reflecting the object. A reflection transforms an object to its mirror image. Example, if d is as an object, then the reflection of this object will be b. This is known as reflection. To reflect an object there should be an axis in the middle and also to reflect any thing you should know that to which axis you are reflecting the object.

7 Reflection As you can see here that there is a graph and an object, which is a square. I have to reflect this object to the x axis. As you can see here that there is a graph and an object, which is a square. I have to reflect this object to the x axis. Object Object

8 Reflection of the object As you can see that this image is reflected to the x axis of the graph,. This graph shows you that how an object is transformed to its mirror image and also to the axis which is given, this is known as reflection. As you can see that this image is reflected to the x axis of the graph,. This graph shows you that how an object is transformed to its mirror image and also to the axis which is given, this is known as reflection.

9 Another example This example will tell you that how an object is reflected to x=1 axis. So here is the object. This example will tell you that how an object is reflected to x=1 axis. So here is the object.

10 The reflection of the object As I told you that I have to reflect this object to x=1. This graph tells you that how you reflect and object to its image size when these types of axis are given, like x=1 and remember that whenever the axis is given like x=2 then the main point. As I told you that I have to reflect this object to x=1. This graph tells you that how you reflect and object to its image size when these types of axis are given, like x=1 and remember that whenever the axis is given like x=2 then the main point.

11 Translation A translation is a movement of an object or an image in the same line of the graph. Translation also has a vector which helps us to translate the object to line, like a vector (3/-2). So now we know that where we have to translate the object three steps to the right and tow steps to the down. A translation is a movement of an object or an image in the same line of the graph. Translation also has a vector which helps us to translate the object to line, like a vector (3/-2). So now we know that where we have to translate the object three steps to the right and tow steps to the down.

12 Translation This is the object which I am going to translate to the vector of (4/2). It will go up because there is no negative number that’s why. This is the object which I am going to translate to the vector of (4/2). It will go up because there is no negative number that’s why.

13 The translation of the object As you can see in this image that how the translation of the object to the vector of (4/2) took place. For each point we have to do 4 to the right, that’s because its on the x axis, it is positive, that’s why we move it and 2 to the up and through that we can translate the object to the vector (4/2). As you can see in this image that how the translation of the object to the vector of (4/2) took place. For each point we have to do 4 to the right, that’s because its on the x axis, it is positive, that’s why we move it and 2 to the up and through that we can translate the object to the vector (4/2).

14 What is a rotation Rotation is a movement of an object or a image from one place to another. Rotation is also done by the tracing paper. These tracing papers are generally used in both ways anti clockwise and clockwise. Rotation can be done clock wise or anti clockwise. When we have to rotate a object which is in the middle of the graph, there should be a mark from where we have to rotate the tracing paper, this mark is known as the center of the rotation, there should be a point and then it will be easier to rotate the object anticlockwise or clockwise. Rotation is a movement of an object or a image from one place to another. Rotation is also done by the tracing paper. These tracing papers are generally used in both ways anti clockwise and clockwise. Rotation can be done clock wise or anti clockwise. When we have to rotate a object which is in the middle of the graph, there should be a mark from where we have to rotate the tracing paper, this mark is known as the center of the rotation, there should be a point and then it will be easier to rotate the object anticlockwise or clockwise.

15 Rotation This is the object, a triangle and I have to move this object 90 degrees clockwise to the x=1. Here is the object. Lets see how it works for this triangle. This is the object, a triangle and I have to move this object 90 degrees clockwise to the x=1. Here is the object. Lets see how it works for this triangle.

16 The rotation of the object Now as you can see here that how it works how we move an object to 90 degrees clockwise to x=1. Now as you can see here that how it works how we move an object to 90 degrees clockwise to x=1.

17 Enlargement Enlargement increases the size and the shape of an object or an image. Whenever we describe enlargement there are two main things- Enlargement increases the size and the shape of an object or an image. Whenever we describe enlargement there are two main things- The center The center The scale factor The scale factor These are the two main things. When we enlarge an object there should be the scale factor given and also the center through which we are going to enlarge the object. The center is the point from where we enlarge the object to the given scale factor.

18 Enlargement This is the object. The scale factor is 2 and the center point of this object is A, from where I m going to enlarge this object. As you can see that we have to enlarge it by 2, so it should look the double of its size. This is the object. The scale factor is 2 and the center point of this object is A, from where I m going to enlarge this object. As you can see that we have to enlarge it by 2, so it should look the double of its size.

19 The Enlargement of the Object The small one which is colored in yellow is the object and the green one which is he bigger one, the enlargement of the object. The scale factor which I was suppose to use was 2, which I did a you can see in the other image and the center which I was suppose to chose was the A, which I did too, so here is the image of the object when it is enlarged. The small one which is colored in yellow is the object and the green one which is he bigger one, the enlargement of the object. The scale factor which I was suppose to use was 2, which I did a you can see in the other image and the center which I was suppose to chose was the A, which I did too, so here is the image of the object when it is enlarged.

20 Bibliography http://www.nrich.maths.org/public/viewer.php?ob j_id=2067&part=index&refpage http://www.nrich.maths.org/public/viewer.php?ob j_id=2067&part=index&refpage http://en.wikipedia.org/wiki/Transformation_ (mathematics) http://en.wikipedia.org/wiki/Transformation_ (mathematics) The other things I got it from the Math’s Book. The other things I got it from the Math’s Book.

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