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write down the coordinates of each point shown. point a b c d e f coord…

Question

write down the coordinates of each point shown.
point a b c d e f
coordinates

Explanation:

Step1: Determine the x - coordinate

For a point \((x,y)\), the x - coordinate is the horizontal distance from the origin. If the point is to the right of the origin, \(x>0\); if to the left, \(x < 0\).

  • For point \(A\): It is 5 units to the right of the origin, so \(x = 5\).
  • For point \(B\): It is 4 units to the right of the origin, so \(x = 4\).
  • For point \(C\): It is 2 units to the left of the origin, so \(x=-2\).
  • For point \(D\): It is 5 units to the left of the origin, so \(x = - 5\).
  • For point \(E\): It is on the y - axis, so \(x = 0\).
  • For point \(F\): It is 1 unit to the right of the origin, so \(x = 1\).

Step2: Determine the y - coordinate

For a point \((x,y)\), the y - coordinate is the vertical distance from the origin. If the point is above the origin, \(y>0\); if below, \(y < 0\).

  • For point \(A\): It is 2 units above the x - axis, so \(y = 2\).
  • For point \(B\): It is 2 units below the x - axis, so \(y=-2\).
  • For point \(C\): It is 5 units below the x - axis, so \(y=-5\).
  • For point \(D\): It is 4 units above the x - axis, so \(y = 4\).
  • For point \(E\): It is 6 units above the x - axis, so \(y = 6\).
  • For point \(F\): It is on the x - axis, so \(y = 0\).

Answer:

PointCoordinates
\(B\)\((4,-2)\)
\(C\)\((-2,-5)\)
\(D\)\((-5,4)\)
\(E\)\((0,6)\)
\(F\)\((1,0)\)