 Hello and welcome to the session. In this session we are going to discuss the following question and the question says that Reflect the trapezoid PQRS having coordinates P21Q41R54 and S14 over y-axis graph P'Q'R'S'. We know that in reflection the point and its image at the same distance from the line of reflection 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 trapezoid PQRS having coordinates P21Q41R54 and S14. Here is the given trapezoid PQRS with vertices P, Q, R and S. We have to reflect it in y-axis and the key idea we know that in reflection the point and its image are at the same distance from the line of reflection. We also know that any coordinates say x, y on reflection in y-axis becomes minus x, y. Let us now find the coordinates of the image points using the above rule. Now we see that vertex P has coordinates 21, its image P' we have coordinates minus 21 on reflection in y-axis. We see that the x coordinate changes sign whereas the y coordinate remains the same. Similarly vertex Q has two coordinates 41 and its image Q' will have two coordinates minus 41 on reflection in y-axis. Vertex R has coordinates 54 which on reflection in y-axis becomes R' with the coordinates minus 54. And similarly vertex S has coordinates 14 which on reflection in y-axis becomes F' with the coordinates minus 14. Now let us plot points P', Q', R' and F' on the graph. Point P' has two coordinates minus 21. So we label this point as P'. Point Q' has two coordinates minus 41. So we label this point as Q'. Point R' has two coordinates minus 54. So we label this point as R' and similarly point S' has two coordinates minus 14. So we label this point as S'. Now we join P' to Q' Q' to R' R' to S' and S' to P'. So we get the trapezoid P' Q' R' S' as reflected image of trapezoid PQRS in y-axis. We know that in reflection the point and its image are at the same distance from the line of reflection. See here every point is at equal distance from y-axis. Like point Q is four units from y-axis so its image Q' is also four units away from y-axis in opposite direction and lie exactly on the same line as Q. This completes our session. Hope you enjoyed this session.