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.


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 

11 and 12 Grade Math 

From Worksheet on Finding Mid-Point to HOME PAGE

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.