
How do you use the midpoint formula to find an endpoint?
Answer
476.4k+ views
Hint: Here, the midpoint formula is used to find the other endpoint if one end point and a midpoint is given. If we assume one endpoint as , midpoint as (a, b) and other endpoint as , then by using midpoint formula we can find the midpoint of a straight line using two endpoints.
Midpoint formula is:
Where ‘a’ and ‘b’ are coordinates of midpoint, and are coordinates of x-axis and, and are coordinates of y-axis.
Complete step by step answer:
Let’s discuss the question now.
If we are given a straight line having two end points and there is one midpoint of that line, we can find the midpoint of that line by using the midpoint formula.
From the figure, let’s understand the concept of midpoint. Here, 2 endpoints and are given. The midpoint of the line is (a, b). So the formula for obtaining the midpoint is:
But as per question, it is said that if we are given one of the end point and the midpoint then how we have to obtain the other end point. Let’s say that and (a, b) is given but we need to find . For that we will obtain the equation from given coordinates.
There are two coordinates of midpoint i.e. a and b. To find , we will use ‘a’ coordinate:
Now, 2 will get multiplied by ‘a’:
Find :
Similarly for , we will use ‘b’ coordinate:
Now, 2 will get multiplied by ‘b’:
Find :
So, for finding , we will use the following equations:
This is the final answer.
Note: Midpoint formula is not only used for straight lines but also used for finding the midpoints of the length of the triangles. Any one of the end points can be obtained by applying the formulae taken out in the final step above. The midpoints can be found just by taking the average of two coordinates of each axis.
Midpoint formula is:
Where ‘a’ and ‘b’ are coordinates of midpoint,
Complete step by step answer:
Let’s discuss the question now.
If we are given a straight line having two end points and there is one midpoint of that line, we can find the midpoint of that line by using the midpoint formula.

From the figure, let’s understand the concept of midpoint. Here, 2 endpoints
But as per question, it is said that if we are given one of the end point and the midpoint then how we have to obtain the other end point. Let’s say that
There are two coordinates of midpoint i.e. a and b. To find
Now, 2 will get multiplied by ‘a’:
Find
Similarly for
Now, 2 will get multiplied by ‘b’:
Find
So, for finding
This is the final answer.
Note: Midpoint formula is not only used for straight lines but also used for finding the midpoints of the length of the triangles. Any one of the end points can be obtained by applying the formulae taken out in the final step above. The midpoints can be found just by taking the average of two coordinates of each axis.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
School Full course for CBSE students
₹41,848 per year
Recently Updated Pages
Master Class 11 Business Studies: Engaging Questions & Answers for Success

Master Class 11 Accountancy: Engaging Questions & Answers for Success

Master Class 11 Computer Science: Engaging Questions & Answers for Success

Master Class 11 English: Engaging Questions & Answers for Success

Master Class 11 Social Science: Engaging Questions & Answers for Success

Master Class 11 Economics: Engaging Questions & Answers for Success

Trending doubts
Which one is a true fish A Jellyfish B Starfish C Dogfish class 11 biology CBSE

State and prove Bernoullis theorem class 11 physics CBSE

1 ton equals to A 100 kg B 1000 kg C 10 kg D 10000 class 11 physics CBSE

In which part of the body the blood is purified oxygenation class 11 biology CBSE

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Difference Between Prokaryotic Cells and Eukaryotic Cells
