P, Q, R are the points (0,0), (4,6) and (8,2) respectively. PM is the median of a triangle PQR. Find the coordinates of the image
a) M1 of M under reflection in the x axis.
b) M2 of M under reflection in the y axis.

Dear Student,

Please find below the solution to the asked query :

Since PM is the median to side QR of PQR, thenM is the mid point of QR.Let the coordinates of M are : Mx,yUsing mid-point formula :Now, x = 4+82 = 6   y = 6+22 = 41.Now, reflection of M6,4 in x-axis is M16,-42.Reflection of M6,4 in y-axis is M2-6,4.

Hope this would clear your doubt.

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