Worksheet on Finding Mid-Point



To get clear concept on how to find the mid-points between two given co-ordinate points student’s can practice the questions given in the worksheet on finding mid-point.



We know that the average distance between the two given points is known as the midpoint. Midpoint can be represented by any letter, for example M, N, O, P etc,.

Let us recall the formula for finding the midpoint between any two given points as follows;

Suppose, (x1, y1) and (x2, y2) be the co-ordinates of the points P and Q respectively and R, the mid-point of the line segment PQ. Then, the co-ordinates of R are ((x1 + x2)/2, (y1 + y2)/2).

To learn more about the formula for finding mid-point Click Here.

Find the co-ordinates of the mid-points of the line-segments joining each of the following pair of points :

(i) (3, 5) and (- 1, - 7)
(ii) (7, - 8) and (-3, 4)
(iii) (a, - b) and (- a, b)
(iv) (l, m) and (l + m, l - m).

2. (i) One extremity of a line-segment is the point (3, - 2) and the middle point of the line-segment is the point (- 2, 3). Find the co-ordinates of the other extremity.
(ii) A diameter of a circle has the extreme points (7, 9) and (- 1, - 3). What would be the co-ordinates of the centre ?
(iii) AB is' a diameter of a circle having centre at C; if the co-ordinates of A and C are (6, - 7) and (5, - 2), find the co-ordinates of B.


Answers for the worksheet on finding mid-point between two given points are given below to check the exact answers of the above questions on mid-point.

Answers:

1. (i) (1, – 1)
(ii) (2, - 2)
(iii) (0, 0)
(iv) (l + m/2, l/2)

2. (i) (- 7, 8)
(ii) (3, 3)
(iii) (4, 3).



Co-ordinate Geometry
  • What is Co-ordinate Geometry?
  • Rectangular Cartesian Co-ordinates
  • Polar Co-ordinates
  • Relation between Cartesian and Polar Co-Ordinates
  • Distance between Two given Points
  • Distance between Two Points in Polar Co-ordinates
  • Division of Line Segment: Internal & External
  • Area of the Triangle Formed by Three co-ordinate Points
  • Condition of Collinearity of Three Points
  • Medians of a Triangle are Concurrent
  • Apollonius' Theorem
  • Quadrilateral form a Parallelogram
  • Problems on Distance Between Two Points
  • Area of a Triangle Given 3 Points
  • Worksheet on Quadrants
  • Worksheet on Rectangular – Polar Conversion
  • Worksheet on Line-Segment Joining the Points
  • Worksheet on Distance Between Two Points
  • Worksheet on Distance Between the Polar Co-ordinates
  • Worksheet on Finding Mid-Point
  • Worksheet on Division of Line-Segment
  • Worksheet on Centroid of a Triangle
  • Worksheet on Area of Co-ordinate Triangle
  • Worksheet on Collinear Triangle
  • Worksheet on Area of Polygon
  • Worksheet on Cartesian Triangle

  • 11 and 12 Grade Math

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