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

Question

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

Infinity Learn · Accepted Answer

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   $$2$$,−$$4$$

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

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

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