1. Write section formula and midpoint formula.
Answers
Answer:
The section formula tells us the coordinates of the point which divides a given line segment into two parts such that their lengths are in the ratio m : n m:n m:n. The midpoint of a line segment is the point that divides a line segment in two equal halves.
Answer:
A special case of this is the midpoint of a line segment, which divides the line segment in two parts in the ratio 1:1.
Step-by-step explanation:
Internal Divisions with Section Formula
Given two end points of line segment A(x1, y1) and B (x2, y2) you can determine the coordinates of the point P(x, y) that divides the given line segment in the ratio m : n internally using Section Formula.
The point P divides the line joining the points A and B in the ratio m1 : m2 such that APPB = m1m2
The coordinates of the point P (x, y) = ⟨m1x2+m2x1m1+m2,m1y2+m2y1m1+m2⟩
Alternative method
To find the ratio in which the join of two given points is divided by a third point, take m1 : m2 = k : 1
We can now find k by using the relations x = kx2+x1k+1 and y = kx2+y1k+1