Midpoint Formula (Leaving Cert Mathematics): Flashcards

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Midpoint Formula
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What does the midpoint formula find?

Exact centre point of a line segment

Midpoint formula for (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2)

M=(x1+x22,y1+y22)M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)

What does the midpoint formula average?

The xx-coordinates and yy-coordinates of endpoints

Use of midpoint formula: dividing segments

Divide a line segment into two equal parts

Use of midpoint formula: geometric figures

Identify the center of a geometric figure

Why is midpoint equidistant from both endpoints?

It's the average of coordinates of the two points

Midpoint of A(2,3)A(2, 3) and B(4,7)B(4, 7)

(3,5)(3, 5)

Centre of diagonal from (−3,−2)(-3, -2) to (5,6)(5, 6)

(1,2)(1, 2)

Steps to use midpoint formula

Average the xx-coords and yy-coords of the two endpoints

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