Transformations, Reflection, And Rotation

  • 2 months ago
Transcript
00:00Hi kids, today we will learn about two transformations, that is, reflection and rotation.
00:12So let's start!
00:16First of all, we know that transformation is any process which changes the position,
00:22shape or viewing angle of any shape.
00:28There are different types of transformation depending upon the kind of change it's doing
00:33to the 2D shape.
00:37Let's first learn what is reflection.
00:41Reflection is also a type of transformation where a transformed image is flipped image
00:48over the line of reflection.
00:52Here this is the flipped or reflected image of an arrow.
00:59Here we have an E letter, which is reflected.
01:05Reflections are the mirror images as seen across a line or a point.
01:11If you place a mirror on the line of symmetry of an object, you see the other half in its
01:18reflected image.
01:21And if you place mirror on any edge of a 2D figure, you will get its reflected image.
01:29Here are more examples of reflected images.
01:35Reflection is also same as rotating the object 180 degrees like this.
01:45Points on an image and its reflection are equidistant from the line of reflection or
01:53mirror line.
01:55When a point is reflected in a mirror line, the point and the image of the point are equidistant
02:02or same distant from the mirror line.
02:07Let's have a look at example.
02:10A is the point on actual image and A dash is the point on reflected image.
02:19Both the points are equidistant from the mirror line.
02:24Let's have a look at another example.
02:28A dash B dash C is a reflected triangle then.
02:33A and A dash are equidistant from the line of reflection.
02:40B and B dash are equidistant from the line of reflection.
02:46C and C dash are equidistant from the line of reflection.
02:54A figure and its reflected image are always concurrent to each other.
03:01That is, they have same shape as well as same size.
03:07A figure and its reflected image are congruent but face in opposite directions.
03:15Here are examples.
03:18Now let's learn another type of transformation.
03:22It is rotation.
03:26Rotation turns the figure clockwise or anticlockwise but doesn't change the figure anyhow.
03:35Its shape and size of the image are not changed.
03:40It is turning an object from left to right.
03:43It is called turning clockwise.
03:47Let's have a look at some examples.
03:50This is image A after transformation of 90 degree clockwise turn or rotation.
03:59This is image A after transformation of 180 degree clockwise turn or rotation.
04:09This is image A after transformation of 270 degree clockwise turn or rotation.
04:21This is image A after transformation of 360 degree clockwise turn or rotation.
04:30We see that on rotation of 360 degree, we get the same image.
04:39Now let's see counterclockwise rotation, that is, turning counterclockwise.
04:47Turning counterclockwise is turning right to left.
04:53This is image A after 90 degree counterclockwise turn or rotation.
05:01This is image A after 180 degree counterclockwise turn or rotation.
05:09This is image A after 270 degree counterclockwise turn or rotation.
05:18This is image A after 360 degree counterclockwise turn or rotation.
05:27That is on 360 degree counterclockwise turn, we get the same image.
05:36So kids, we learned about transformations, that is, reflection and rotation.
05:44Now you may go ahead and take a quiz to learn more.
05:47Bye-bye!