Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).
3. Find the coordinates of the midpoint of the line segment joining P(0,6) and Q(12,20).
The given points are P(0,6) and Q(12,20).
Midpoint of PQ \[= \left( \frac{0 + 12}{2}, \frac{6 + 20}{2} \right) = \left( 6, 13 \right)\].
Explanation:-
Given two points P(0,6) and Q(12,20), we can find the midpoint of the line segment PQ using the midpoint formula.
The midpoint formula is:
midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Substituting the values of the given points, we get:
midpoint = ((0 + 12)/2, (6 + 20)/2)
midpoint = (6, 13)
Therefore, the midpoint of the line segment PQ is (6, 13).
Answer:-
The midpoint formula is a formula used to find the midpoint of a line segment given the coordinates of its endpoints. In this case, we are given the coordinates of two points P(0,6) and Q(12,20) and we want to find the midpoint of the line segment PQ.
The midpoint formula is:
midpoint = ((x1 + x2)/2, (y1 + y2)/2)
where (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the line segment.
Substituting the values of the given points into the formula, we get:
midpoint = ((0 + 12)/2, (6 + 20)/2)
Simplifying this expression, we get:
midpoint = (6, 13)
Therefore, the midpoint of the line segment PQ is (6, 13).
Chapter 5. Co-ordinate Geometry – Problem set 5 (Page 122)