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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