 Hello and welcome to the session. In this session we discuss the following question that says the points A with coordinates 3, 1, B with coordinates 2, 4 and C with coordinates 5, 2 are the vertices of a triangle, draw the points on the graph paper and draw the image of triangle ABC under reflection in the line x equal to 2. Before we move on to the solution, let's discuss the definition of reflection. So we have the reflection of a point A is the point A dash of the segment A dash and this point O is the center of reflection. This is the key idea that we use for this question. Let's move on to the solution. We have the points A with coordinates 3, 1, B with coordinates and C with coordinates. We draw the points A with coordinates 3, 1. So for this we move 3 units to the right of origin and 1 unit above from this point. So this is the point A with coordinates 3, 1. Then next we draw the point B with coordinates 2, 4. We move 2 units to the right of origin and 4 units above from this point to get this point B with coordinates 2, 4. Then we have the point C with coordinates 5, 2. For this we move 5 units to the right of origin and 2 units above from this point to get this point C with coordinates. This is the triangle ABC. We have to draw the image of triangle ABC under reflection in the line X equal to 2. P2 is the line X equal to 2 and the image of triangle ABC under reflection in the line X equal to 2. For this we will find the reflection of the points A, B and the point A with coordinates 3, 1. The reflection of the point A with coordinates 3, 1 in the line X equal to its reflection would lie on the line X equal to 2. So this point would be the midpoint of the segment. So this distance say the point A dash of the point A would be the reflected point A dash with coordinates 1, 1, be equal. So reflection of point A with coordinates 3, 1 in the line X equal to 2 is the point A dash with coordinates 1, 1, be with coordinates would be given by the coordinates of the point B dash. Point B with coordinates 2, 4. Point B in the line X equal to 2 and B lies on the line X equal to 2. The reflection of the center of reflection is the center itself of the point B would be the point B would be the point B dash with coordinates 2, 4 which is the reflection of the point B in the line X equal to plus the point C with coordinates would be given by C dash the segment joining this reflection would lie on the line X equal to 2. So this point would be the required midpoint. This distance is 3 dash with coordinates minus 1, 2 of the point C. This midpoint would be the same as the distance of the midpoint from the point. We have a point C dash with coordinates minus 1, 2 which is the reflection of the point C in the line X equal to 2. In A dash B dash C dash we get this triangle A dash B dash C dash which is the image of triangle ABC under reflection in the line X equal to triangle A dash B dash C dash of triangle ABC in the line X equal to 2. In this session we have understood the solution of this question.