 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that draw triangle A, B, C with vertices A with the coordinates 1 minus 1, B with the coordinates 3, 2 and C with the coordinates 4 minus 3. Reflect a triangle in y-axis, find the coordinates of the image formed. We know that in reflection the point, its image at the same distance from the line of reflection we also know that any coordinates x, y on reflection in y-axis becomes minus x, y. With this key idea let us proceed to the solution. In this question we are given a triangle A, B, C and we have to reflect it in y-axis. Here we will first draw the given triangle and here we have vertex A with the coordinates 1 minus 1, vertex B with the coordinates 3, 2 and vertex C with the coordinates 4 minus 3. Now we will plot these points on the graph. Here we have vertex A having coordinates 1 minus 1. So we place a dot here and label it as A, vertex B has coordinates 3, 2. So we place it here in the first quadrant and label it as B. Then we have vertex C having coordinates 4 minus 3. So we place our dot here and label it as C. Now we join A to B, B to C to A and we get the triangle A, B, C. Now we need to draw its reflected image in y-axis. For this we use the key strategy which says in reflection the point and its image are at the same distance from the line of reflection. Here point C lies at a distance of 4 units from y-axis. So its image will lie at the same distance of 4 units from y-axis in opposite direction and exactly on the same line on which point C lies. So we put our dot here and label it as C prime. Similarly point A is one unit away from y-axis so its image will lie at the distance of one unit from y-axis and exactly on the same line where point A lies. So we put our dot here and label it as A prime. Lastly point B is 3 units away from y-axis so its image B prime will also be at the same distance from y-axis in opposite direction and will lie exactly in the line of point B. So we put our dot here and label it as B prime. Now we join A prime to B prime, B prime to C prime and C prime to A prime and we get the required reflection of the given triangle. So reflection of triangle A B C is a triangle A prime, B prime, C prime. We can find the coordinates of the vertices A prime, D prime, C prime from the coordinate plane. As we say that the coordinates of the point A prime is minus 1, minus 1. The coordinates of the point B prime is given by minus 3, 2 and the coordinates of the point C prime is given by minus 4, minus 3. Also from the key idea we know that any coordinates say x, y on reflection in y-axis becomes minus x, y. Therefore in triangle A prime, B prime, C prime the coordinates of the vertices A prime is given by minus 1, minus 1. B prime is given by minus 3, 2 and C prime is given by minus 4, minus 3. Hence we get the required reflection of the triangle A B C as triangle A prime, B prime, C prime. The vertices A prime with the coordinates minus 1, minus 1. B prime with the coordinates minus 3, 2. C prime with the coordinates minus 4, minus 3. This completes our session. Hope you enjoyed this session.