midpoint (1,2) and (3,4)

Let's find the midpoint of the points

(1, 2)

and

(3, 4)

For each midpoint coordinate, take the average of the corresponding coordinates of the two points:

M = \frac{A + B}{2}

⇥Let's calculate:

\frac{(1, 2) + (3, 4)}{2}

⇥ⅰ

(1, 2) + (3, 4)

(1 + 3, 2 + 4)

⇥

\frac{(1 + 3, 2 + 4)}{2}

⇥ⅰ

\frac{(1 + 3, 2 + 4)}{2}

(\frac{1 + 3}{2}, \frac{2 + 4}{2})

⇥

(\frac{1 + 3}{2}, \frac{2 + 4}{2})

⇥ⓘ The numerator and the denominator are computed before the division:

1 + 3

4

2 + 4

6

⇥

(\frac{4}{2}, \frac{6}{2})

ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

\frac{4}{2}

2

\frac{6}{2}

3

▶Midpoint:

(2, 3)

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