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High School Mathematics - 2
9.8 Mid Point of the Segment Joining Two Points

If A(x1 , y1) and B(x2 , y2) are two points, then the mid-point of the segment joining AB is [(x1 + x2)/2 , (y1 + y2)/2]
i.e., (Sum of x-coordinates/2 , Sum of y-coordinates/2).

Example:
Find the mid point of (5,6) and (7,8).
Solution:
Formula for mid point of the segment joining two points is [(x1 + x2)/2 , (y1 + y2)/2]
= [(5 + 7)/2 , (6 + 8)/2]
= (12/2 , 14/2)
= (6,7)
Therefore, the mid point of (5,6) and (7,8) is (6,7).

Showing the above problem in the Graph as below.


Directions: Find the mid point of the segment joining two points and draw a graph each of the following questions. Also write at least 5 examples of your own.

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Date:___________________

High School Mathematics - 2
9.8 Mid Point of the Segment Joining Two Points

Q 1: Find the mid point of the segment joining the points (3,4) and (7,8).
(6,4)
(6,5)
(5,6)
(4,6)

Q 2: Find the mid point of the segment joining the points (3,4) and (4,5).
(3,4)
(3.5,4.5)
(4,5)
(4.5,5.5)

Q 3: Find the mid point of the segment joining the points (7,8) and (11,12).
(9,8)
(9,10)
(10,9)
(8,9)

Q 4: Find the mid point of the segment joining the points (4,8) and (2,4).
(2,4)
(4,2)
(3,6)
(6,3)

Q 5: Find the mid point of the segment joining the points (7,8) and (15,16).
None of these
(11,12)
(13,14)
(12,13)

Q 6: Find the mid point of the segment joining the points (15,16) and (17,18).
(16,17)
(15,16)
None of these
(17,18)

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Question 8: This question is available to subscribers only!


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