passpadi

2011

Mathematics

JAMB

The midpoint of P(x, y) and Q(8, 6) is (5, 8). Find x and y.

A.

(2, 10)

B.

(2, 8)

C.

(2, 12)

D.

(2, 6)

Correct Answer: (2, 10)

Explanation

P(x, y) Q(8, 6) midpoint = (5, 8) x + 8 = 5 y+6/2 = 8 x + 8 = 10 x = 10 - 8 = 2 y + 6 = 16 y + 16 - 6 = 10 therefore, P(2, 10)

P(x, y) Q(8, 6) midpoint = (5, 8) x + 8 = 5 y+6/2 = 8 x + 8 = 10 x = 10 - 8 = 2 y + 6 = 16 y + 16 - 6 = 10 therefore, P(2, 10)
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