The Line (Leaving Cert Mathematics): Flashcards

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Midpoint of a Line Segment
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Midpoint definition

Point exactly halfway between two endpoints of a line segment

Midpoint divides segment into

Two equal parts of the same length

Midpoint formula for points (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)

x-coordinate of midpoint

Average of the two x-coordinates

y-coordinate of midpoint

Average of the two y-coordinates

Midpoint of A(1,3)A(-1, 3) and B(5,7)B(5, 7)

(2,5)(2, 5)

Midpoint of C(0,2)C(0, -2) and D(6,4)D(6, 4)

(3,1)(3, 1)

Midpoint of P(3,1)P(-3, -1) and Q(1,5)Q(1, -5)

(1,3)(-1, -3)

Adding a negative number is the same as

Subtracting

Format for writing midpoint answer

Coordinates in the form (x,y)(x, y)

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