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Coordinate Geometry – Distance, midpoint

Question

Find the solutions for the following questions.

  1. If point point X (1,-2) and W (x,1) are 5 unit away from each other. What could be the value of x?
  2. Point A (5,3) and point B has a midpoint Z with coordinate (3,0). What is the coordinate of point B?

 

 

Answer

  1. x = -3, 5
  2. (1,-3)

Note:

  • Distance between two points: Using Pythagoras theorem
  • Midpoint: The average of the x-coordinates and y-coordinates of two points will return the x-coordinate and y-coordinate of a midpoint.

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