 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Reflect the triangle A,B,C having coordinates A-2 to B-1,7 and C-6,5 over x axis graph A-B-C We know that in reflection the point and its image are at the same distance from the line of reflection With this key idea let us proceed to the solution. In this question we are given a triangle A,B,C having coordinates A-2 to B-1,7 and C-6,5 We have to reflect it in x axis. First we plot these coordinates on the graph. So here we have point A with the coordinates minus 2 to point B with the coordinates minus 1,7 and point C with the coordinates 6,5 And here is the given triangle A,B,C and we need to reflect this triangle over x axis. And from the key idea we know that in reflection the point and its image are at the same distance from the line of reflection And we know that any coordinate x,y on reflection axis becomes x minus y that is on reflection over x axis the y coordinate changes its sign. Now let us find the coordinates of the image points using this rule. Point A has coordinates minus 2 to which on reflection over x axis becomes A- with the coordinates minus 2 minus 2 That is on reflection over x axis the x coordinate remains same and y coordinate changes sign. Similarly point B with the coordinates minus 1,7 on reflection over x axis becomes B- with the coordinates minus 1 minus 7 Similarly point C with coordinates 6,5 on reflection over x axis becomes C- with the coordinates 6 minus 5 Now let us plot points A- B- and C- on the graph And here we have the points A- with the coordinates minus 2 minus 2 B- with the coordinates minus 1 minus 7 and C- with the coordinates 6 minus 5 And we have joined A- to B- B- to C- and C- to A- so we get the triangle A- B- C- as reflected image of triangle ABC over x axis This completes our session. Hope you enjoyed this session.