Applying the midpoint theorem

Applying the midpoint theorem

Secondary 4
TGM Original Questions

The diagram shows a triangle \(ABC\) with vertices \(A(3,\ 11)\), \(B(-5,\ 3)\) and \(C(9,\ -1)\). \(M\) and \(N\) are the midpoints of \(AB\) and \(AC\) respectively.

(i) Find the coordinates of \(M\) and of \(N\).
(ii) State two facts relating the line segments \(MN\) and \(BC\).

Solution:

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Answer:\(M(-1, 7)\), \(N(6, 5)\); \(MN//BC\) and \(MN=\frac{1}{2}BC\).

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