Question

The midpoint of CD is (-3,4) and one endpoint is (2,5). What is the coordinate of the other

Answer 1

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).

To learn more about coordinates visit: brainly.com/question/27749090

#SPJ9