Question

Find the Midpoint of CD?

Answer 1

Add the x-coordinates and divide by 2.

Add the y-coordinates and divide by 2.

x-coordinate of midpoint: (-3 + 5)/2 = 2/2 = 1

y-coordinate of midpoint: (4 - 8)/2 = -4/2 = -2

Answer: (1, -2)

Answer 2

The midpoint of CD is (1, -2)

How to find midpoint of line segment ?

Let, M(x₁, y₁) & N(x₂, y₂) be two points, then the line segment joining this two points is MN.

Now, if we want to find the midpoint of the line segment MN, then we have to add co-ordinates of x-axis and divided it by 2, also add co-ordinates of y-axis and divided it by 2. Now the resultant point with new x & y co-ordinates is the midpoint of MN,

i.e. $(\frac{x_{1}+ x_{2} }{2} ,\frac{y_{1}+ y_{2} }{2})$ be the midpoint of MN.

What is the required midpoint ?

The given points are C(-3, 4) & D(5, -8)

So, The line segment formed by C & D is CD.

Now, midpoint of CD = $(\frac{-3+5}{2} ,\frac{4-8}{2} )$

                                   = $(\frac{2}{2} ,\frac{-4}{2} )$ = (1, -2)

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