If Q is the midpoint of PR, then what would PQ equal?

Asked on by natalie649

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durbanville | High School Teacher | (Level 2) Educator Emeritus

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When a point is the midpoint of a line, then the distance from (in this case) P to the midpoint Q is half the distance from P to R. To find the relevant co-ordinates, use the formula:

`M = ((x_(1) + x_(2))/2`  ;    `(y_(1)+y_(2))/2)` where M is the midpoint.

Care not to confuse the formula with m(slope or gradient) formula. Midpoint uses a capital M and slope/gradient a lower case m.  

Substitute the values of the co-ordinates at P and at R and it will render the co-ordinates at Q.

Ans: If Q is the midpoint of PR, PQ= `(PR)/2`

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