
To find the coordinates of the midpoint and then distance between each pair of points

Answer to Problem 8MCQ
Coordinates L (−52,12)
Distance between
JK = 7.07
JL = 3.53
KL = 3.53
Explanation of Solution
Given information:
Coordinates J (-2, 4) and K (-3,-3)
Formula used:
To calculate coordinate
x=x1+x22, y=y1+y22
To calculate the distance
Distance= √(x2 −x1)2+(y2−y1)2
Calculation: calculating the coordinates
Let the coordinates of J (-2, 4) be x1 , y1 and K (-3, -3) be x2, y2
Substituting values in the formula
x=−2−32, y=4−32
Solving it further
x=−52, y=12
Therefore the coordinates of the midpoint are
Coordinates of midpoint L (−52,12)
Now calculating distance between each of the points
First take J (-2, 4) and K (-3, -3)
Substituting values in the formula
Distance = √(−3+2)2+(−3−4)2
Solving further
Distance = √(1)2+(−7)2
Solving further
Distance = √1+49
The distance is
√50=7.07
Now, take J (-2, 4) and L (−52,12)
Substitute values in the formula
Distance = √(−52+2)2+(12−4)2
Solving it further using lower common factor method
Distance = √(−5+42)2+(1−82)2
Solving it further
Distance = √(−12)2+(−72)2
Solving further
√14+494=√504
The distance is
3.53
Now, take K (-3, -3) and L (−52,12)
Substitute the values in the formula
Distance = √(−52+3)2+(12+3)2
Solving using lowest common factor inside the bracket
√(−5+62)2+(1+62)2
Solving further
√14+494=√504
The distance is
3.53
Chapter 1 Solutions
Geometry, Student Edition
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