The midpoint of C is (-3,4). One endpoint D is (2,5). The coordinate of the other endpoint are (-6,3).
Given that,
The midpoint of C is (-3,4).
Endpoint D is (2,5).
We have to find the other endpoint.
What are coordinates?
In geometry, a coordinate system is a system that uses one or more integers, or b coordinate, to specify where points or other geometrical elements are located on a manifold, such Euclidean space.
Let the coordinates of the point B as other endpoint be represented by B(a,b).
Given the Ratio from CD to CB is 1:1.
Using ratios, the line segment will be internally divided into,
CD\CB = 1/1
D = B
(2,5) = (a, b)
Now,
The endpoint of B can be written as,
(2+a/1+1,5+b/1+1)=(-3,4)
(2+a/2,5+b/2)=(-3,4)
(2+a)/2=-3
2+a=-2×2
2+a=-4
a=-4-2
a=-6
And,
(5+b)/2=4
5+b=4×2
5+b=8
b=8-5
b=3
Therefore, The coordinate of the other endpoint are (-6,3).
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