 Hello and welcome to the session. In this session we will discuss a question which says that translate the coordinates A, 3-3, B, 3, 2 and C, 6, 1 of a triangle moving 5 units left and 3 units up, draw the figure on coordinate plane. Now before starting the solution of this question, we should know a search. Now in translation for moving up and down, we add and subtract respectively in Y coordinate and secondly for moving right and left we add and subtract respectively in X coordinate. Now let us see an example. Now this is a coordinate plane and in this coordinate plane a point A with coordinates 3, 4 is given to us. Now suppose if we have to move this point 3 units right and 2 units up, now here X coordinate is 3, Y coordinate is 4. Now here we have to move 3 units right and 2 units up. It means we have to add 3 to the X coordinate and we have to add 2 to the Y coordinate and the new point will be A dash with coordinates 6, 6. So here this is the point A dash with coordinates 6, 6. From here you can see that starting from the point A we have moved 3 units right and then 2 units up and we have reached at this point which is A dash with coordinates 6, 6. So this result will work out as a key idea for solving out the given question. Now let us start with the solution of the given question. Now in the question vertices of triangle are given to us, so given vertices of a triangle are A with coordinates 3 minus 3, B with coordinates 3, 2 and C with coordinates 6, 1. Now we have to translate the coordinates of triangle moving 5 units left and 3 units up. For this we will use the results which are given to us in the key idea. Now moving 5 units left means we have to subtract 5 from X coordinate of all the vertices and moving 3 units up means we have to add 3 to the Y coordinate of all the vertices. Now let's new vertices of the triangle be A dash, B dash and C dash. Now let us draw a table in which we will write the vertices of triangle ABC and then we will write the vertices of the new triangle A dash, B dash, C dash. Now here we have drawn a table in the first column we have written vertices of triangle ABC. Then in the second column we will subtract 5 from the X coordinate and add 3 to the Y coordinate of the vertices A, B and C and then in the last column we will get the new vertices A dash, B dash, C dash. Now subtracting 5 from the X coordinate and adding 3 to the Y coordinate of vertex A we have the new vertex A dash with coordinates minus 2, 0. Then again subtracting 5 from X coordinate and adding 3 to Y coordinate of vertex B we get the new vertex B dash with coordinates minus 2, 5. Similarly we get the vertex C dash with coordinates 1, 4. First of all we will plot the vertices A, B and C in the coordinate plane. So here we have plotted the original vertices A, B and C in the coordinate plane. Now joining all these points we get the triangle ABC and now let us plot the vertices A dash, B dash, C dash. And now we have plotted the vertices A dash, B dash and C dash. Now on joining these points we get the new triangle A dash, B dash, C dash. From here you can see that when we move the point A 5 units left and 3 units up then we get the point A dash. Similarly if we move the points B and C 5 units left and 3 units up then we get the points B dash and C dash respectively. So we have transmitted the coordinates A, B and C of this triangle moving 5 units left and 3 units up and here the triangle A dash, B dash, C dash is required image after translation. And this is the solution of the given question. That's all for this session. Hope you all have enjoyed the session.