Solving Translation

“Transformation” is the term which is used in advanced and intermediate geometry. Transformation of image is defined as the transforming the shape from one position to another position without any change in the angle or dimension of the image. Study of transformations is applicable in high school. Transformations learning are very interactive and interesting. In online, animated study of transformations is available for the following topics.  There are four types of transformations they are,


1) Translation Transformation

2) Reflection Transformation

3) Rotation Transformation and

4) Dilation Transformation.

Study of Translation:

Translation:

Translation is one of the types of transformation. Translation means shifting the image up or down and shifting the image left or right. In translation, the image is translated or moved in a straight line with respect to the original image. The translated image doesn’t vary from original image. The dimension, shape and angle of the translated image are same as the original image. The translated image and the original image will be facing the same direction. Solving the problems involving the translation is easy when the concept of the translation is known very well.

Problems on solving translation:

Solving translation Example 1:

Move the object 2 units to the right and 4 units up.

Solution:

The given problem is translation.

In this problem, the object is moved up 4 units and then 2 units to the right side i.e. towards the y axis.



Solving translation Example 2:

Move the object 4 units to the right and 2 units up.

Solution:

The given problem is translation.

In this problem, the object is moved up 2 units and then 4 units to the right side i.e. towards the y axis.

Solving translation Example 3:

Move the object 3 units to the left and 5 units down.

Solution:

The given problem is translation.

In this problem, the object is moved up 2 units and then 4 units to the right side i.e. towards the y axis.