# 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

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.
 Share this page: What’s this?

## Recent Articles

1. ### Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

May 18, 24 02:59 PM

Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

Read More

2. ### Numbers | Notation | Numeration | Numeral | Estimation | Examples

May 12, 24 06:28 PM

Numbers are used for calculating and counting. These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers. In order to describe the number of elements in a collection with no objects

Read More

3. ### Face Value and Place Value|Difference Between Place Value & Face Value

May 12, 24 06:23 PM

What is the difference between face value and place value of digits? Before we proceed to face value and place value let us recall the expanded form of a number. The face value of a digit is the digit…

Read More

4. ### Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns

May 12, 24 06:09 PM

We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r…

Read More

5. ### Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

May 12, 24 04:59 PM

In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will

Read More