The reflection of the orthocentre of the triangle formed by the points (2,3),(2,4) and (5,4) in x-axis is.

The given points are A(2,3),B(2,4),C(5,4) Since the x-coordinates of two points A(2,3),B(2,4) are same, the line joining A,B is verticale line Since y-coordinates of two points B(2,4),C(5,4) are same. the line joining B,C is  horizontal line, so that the triangle ABC is right angled triangle with vertex at right angle is B2,4In right angled triangle, the ortho centre is vertex at right angle. Hence, the ortho centre is  2,4 .The reflection of a point x,y in x− axis is   x,−yTherefore, the reflection of 2,4 in x−  axis is   2,−4