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Distance and Midpoint Formula Worksheet - Page 4

Distance and Midpoint Formula Worksheet
  • Page 4
 31.  
Find the midpoint of a line segment whose endpoints are (2, - 4) and (2, - 2).
a.
(2, 3)
b.
(3, 2)
c.
(- 2, 3)
d.
(2, - 3)


Solution:

The endpoints of the line segment has coordinates (2, - 4) and (2, - 2).

Midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is (x1+x22, y1+y22).
[Use the midpoint formula.]

Midpoint = (2+22, - 4 + (- 2)2 )
[Substitute the values.]

= (42, - 62)
[Simplify.]

= (2, - 3)
[Write the fractions in the simplest form.]

The midpoint of the line segment is (2, - 3).


Correct answer : (4)

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