 Hello and welcome to the session. In this session we will discuss the question in which two diagrams are given to us. This is the first diagram and this is the second diagram. Now we have to tell that which of the following figures is a translation and dilation. Describe the translation and dilation in the respective figures. Now let us start with the solution of the given question. Now in the first figure two correlators are given to us. That is the quadrilateral h i j k and the quadrilateral h dash i dash j dash k dash. Here both the correlators are of same size and shape and the figure has not turned. So this type of transformation is called translation. And here the quadrilateral h i j k has transformed to the quadrilateral h dash i dash j dash k dash where the point h has moved to h dash, point i has moved to i dash, point k has moved to k dash and point j has moved to j dash. Now here the point h has moved to h dash moving three units to the left and then six units up as here each block is representing one unit. Similarly i has moved to i dash moving three units to the left and six units up and in the same way j and k have moved three units left and six units up. So we can say the quadrilateral h i j k has been translated to the quadrilateral h dash i dash j dash k dash after a translation of three units left and six units up. Now let us see the figure two. Here the purple image is a dilation of black image with center region and it is an enlargement. Now we find the scale factor. Now here we can see that coordinates of vertices of black figure are three three minus two three minus three minus three to minus three and coordinates of vertices of purple figure are nine nine minus six nine minus nine minus nine minus nine. Now here you can see that if we multiply the coordinates of black figure by three then we get the coordinates of purple figure. For example let us take the coordinates three three and then multiply it by three. It will give us the new coordinates nine nine and these are the coordinates of the purple figure. Similarly if we multiply other coordinates of black figure by three then we will get the coordinates of purple figure. So we can say that each coordinate of black figure is multiplied by three to get the coordinates of purple figure. So here clearly the scale factor is three. Now here as the black figure is enlarged to get a purple figure so here enlargement factor is three and the purple figure is the violation of black figure with center edge origin. So this is the solution of the given question. That's all for this session. Hope you all have enjoyed the session.