P, Q, R are the points (0,0), (4,6) and (8,2) respectively PM is the median of a triangle PQR - Maths - Coordinate Geometry

Question

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

Manbar Singh · Accepted Answer

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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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.

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.