Mathematics
Grade6
Easy

Question

Calculate the distance between points (- 7, 8) and (2, 8)?

  1. 4 units    
  2. 5 units    
  3. 3 units    
  4. 9 units    

Hint:

We are given coordinates of two points. We are asked to find the distance between the two points. First, we will see if they are in the same quadrants or adjacent quadrants. And we will see if they have any coordinate same. Then using this information we can find the distance.

The correct answer is: 9 units


    The given points are (-7,8) and (2,8)
    If we see, they have the same y coordinate. And their x coordinate has opposite signs. It means they are in adjacent quadrants.
    We will find the absolute values of both the points. Absolute value means their distance from the respective axis. It is always positive. Here we will be counting the distance from the y axis as it’s y component is same.
    The absolute value of the point (-7,8) = |-7|
    The absolute value of the point (2,8) = |2|
    Now, to find the distance between the points in adjacent quadrants we will add the absolute values
    So distant = |-7| + |2|
    = 7 + 2
    = 9
    Therefore, the distance between the two order pairs is 9 units.

    For such questions, we have to see if the points of the rectangle are in same quadrant or adjacent quadrants. We can use distance formula to find the length of sides of rectangle too.

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