 Hello and welcome to the session. In this session we will discuss similarity as size transformation. We know that two figures that the figures relation the given figure or reduced k factor the resulting figure is similar to the given figure. If a given figure is enlarged by a scale factor k then the resulting figure which would be similar to the given figure besides of the given figure. On same with the k when the given figure is reduced by a scale factor k in that case also the resulting figure would have size of the given figure. The given figure is enlarged or reduced is greater than 1. The scale factor is less than the size transformation equal to 1. This includes the scale factor and the center of enlargement or reduction. Now as enlargement of a given figure contracted triangle P2R now let the center of enlargement. Now we have to have to draw triangle P dash Q dash R dash under transformation about the center of enlargement O with the scale factor given as 1 upon 2. It is 1 upon 2 so this means that is 1 upon 2 O2 dash upon O2 would be equal to 1 upon 2 R would be equal to 1 upon 2. And so here we have O P dash would be equal to 1 upon 2 into O P would be equal to 1 upon 2 into O Q O R dash would be equal to 1 upon 2 into O R. We have the points P Q half of O P so we will use O P so as to get the point P dash O Q dash is equal to half of O Q that the scale Q dash is in the dash which is the image of the point Q is equal to is equal to R P is equal to over greater than 1 or equal to 1 or less than there are 7 points to be noted P image that the ratio of the distance on the map to the corresponding distance on the ground. So this means that one unit denotes the distance on the map and P units denotes the distance on the ground which would be denoted by K would be equal to 1 upon P so drawn or you can say the length of the model so drawn would be that we have or the model would be that the volume in which a model of a third K is equal to be equal to 1 upon 2 meters or you can say 0.5 meters would be the length of the model the length, the area and the volume have a volume of the landscape maps.