If M (1,1) is the midpoint of a line segment joining origin and point P, find the coordinates of P.

The correct answer is: (2, 2)

• Step by step explanation:

○        Given:
End point of the line is (0, 0).
Midpoint of the line is M(1, 1)
○        Step 1:
○        Let the coordinates of point P be (x₂, y₂)
○        As we know, the midpoint divides the line segment in two equal parts, and midpoint of line are given by 
So,
Midpoint of line segment is given by:

x₂ = 2  1  ,  y₂ = 2  1
(x₂, y₂) = (2, 2)

• Final Answer:

Hence, the coordinates of the point P of the line segment is (2, 2).