explain how to find the PQ.

## geometry: one endpoint of PQ is (-2,4). the midpoint of PQ is M (1,0).

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# 2 Answers

Most everyone knows the Pythagorean Theorem and you can use it to solve this problem. Where is the right triangle? Connect the points (-2,4), (1,0) and (-2,0). One leg measures 3, the other leg measures 4, so the hypotenuse is 5! Five is the length of half PQ, so the whole line segment PQ is 10!

Formula of a distance between two points is d = √((x_{1} - x_{2})^{2}
+ (y_{1} - y_{2})^{2})

P ( -2 , 4 ) M ( 1 , 0 )

↑ ↑ ↑ ↑

x_{1} y_{1} x_{2} y_{2}

d_{PM} = √((-2 - 1)^{2} + (4 - 0)^{2}) = √25 = 5

d_{PQ} = 2d_{PM} = 2*5 = ** 10 **units