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The co – ordinates of the mid – point of the line segment joining the points ( – 2, 3) and (4, – 5) are
- a)( – 1, 1)
- b)(1, – 1)
- c)( – 2, 4)
- d)(0, 0)
Correct answer is option 'B'. Can you explain this answer?
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The co – ordinates of the mid – point of the line segment ...
Explanation:
Let the coordinates of midpoint C(x,y)(x,y) of the line segment joining the points A(−2,3) and B(4,−5).
Most Upvoted Answer
The co – ordinates of the mid – point of the line segment ...
The question asks for the coordinates of the midpoint of the line segment joining the points (2, 3) and (4, 5).
To find the midpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) are the average of the coordinates of the endpoints.
Let's calculate the midpoint using the formula:
Midpoint (x, y) = ((x1 + x2)/2, (y1 + y2)/2)
Given points:
Point 1: (2, 3)
Point 2: (4, 5)
Applying the midpoint formula:
Midpoint (x, y) = ((2 + 4)/2, (3 + 5)/2)
= (6/2, 8/2)
= (3, 4)
Therefore, the coordinates of the midpoint of the line segment joining the points (2, 3) and (4, 5) are (3, 4).
Let's check if the given options match the calculated midpoint:
Option A: (1, 1)
The calculated midpoint is (3, 4), which does not match option A.
Option B: (1, 1)
The calculated midpoint is (3, 4), which does not match option B.
Option C: (2, 4)
The calculated midpoint is (3, 4), which does not match option C.
Option D: (0, 0)
The calculated midpoint is (3, 4), which does not match option D.
Therefore, the correct answer is option B: (3, 4), which matches the calculated midpoint.
To find the midpoint of a line segment, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (x, y) are the average of the coordinates of the endpoints.
Let's calculate the midpoint using the formula:
Midpoint (x, y) = ((x1 + x2)/2, (y1 + y2)/2)
Given points:
Point 1: (2, 3)
Point 2: (4, 5)
Applying the midpoint formula:
Midpoint (x, y) = ((2 + 4)/2, (3 + 5)/2)
= (6/2, 8/2)
= (3, 4)
Therefore, the coordinates of the midpoint of the line segment joining the points (2, 3) and (4, 5) are (3, 4).
Let's check if the given options match the calculated midpoint:
Option A: (1, 1)
The calculated midpoint is (3, 4), which does not match option A.
Option B: (1, 1)
The calculated midpoint is (3, 4), which does not match option B.
Option C: (2, 4)
The calculated midpoint is (3, 4), which does not match option C.
Option D: (0, 0)
The calculated midpoint is (3, 4), which does not match option D.
Therefore, the correct answer is option B: (3, 4), which matches the calculated midpoint.
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The co – ordinates of the mid – point of the line segment joining the points ( – 2, 3) and (4, – 5) area)( – 1, 1)b)(1, – 1)c)( – 2, 4)d)(0, 0)Correct answer is option 'B'. Can you explain this answer?
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