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

Question

 explain how to find the PQ.

Answer 1

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!

 

 

Answer 2

Formula of a distance between two points is d = √((x₁ - x₂)² + (y₁ - y₂)²)        

P ( -2 , 4 )     M ( 1 , 0 ) 
      ↑    ↑            ↑   ↑    
     x₁    y₁          x₂   y₂  

d_PM = √((-2 - 1)² + (4 - 0)²) = √25 = 5   

d_PQ = 2d_PM = 2*5 = 10 units