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Given: RS= 1/2RT Prove: S is the midpoint of RT

Sagot :

The point S, is the midpoint of the line RT and the proof is as follows.

According to the question; RS= 1/2RT

  • In essence, the line RS is half the length of line RT.

By coordinate geometry;

The midpoint of line RT is given as;

  • S = {(x2 + x1)/2, (y2 + y1)/2}

In essence, the 1/2 factor can be factorised out;

and Ultimately,

RS= 1/2RT

Since the point S is the end point of a line RS which is half the length of line RT.

Therefore, the point, S is the midpoint of line RT.

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