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### High School Mathematics - 29.8 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.
 Q 1: Find the mid point of the segment joining the points (15,16) and (17,18).(17,18)None of these(15,16)(16,17) Q 2: Find the mid point of the segment joining the points (4,8) and (2,4).(6,3)(3,6)(2,4)(4,2) Q 3: Find the mid point of the segment joining the points (7,5) and (8,6).(7.5,5.5)None of these(7,5)(5,7) Q 4: Find the mid point of the segment joining the points (7,8) and (11,12).(9,10)(9,8)(8,9)(10,9) Q 5: Find the mid point of the segment joining the points (7,8) and (15,16).(12,13)None of these(13,14)(11,12) Q 6: Find the mid point of the segment joining the points (3,4) and (4,5).(4,5)(4.5,5.5)(3,4)(3.5,4.5) Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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