Given the endpoint (0,6) and midpoint (4, 8), what is the other endpoint?The endpoint is:

Answered: Given the endpoint (0,6) and midpoint…

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

Given the endpoint (0,6) and midpoint (4, 8), what is the other endpoint?
The endpoint is:

Expert Solution

Step 1

We have to find coordinates of endpoint where one endpoint is $(0, 6)$ and midpoint is $(4, 8)$ .

We know the formula of midpoint for given endpoints as $(x_{1}, y_{1})$ and $(x_{2}, y_{2})$ ,

$m i d p o i n t o f t h e e n d p o i n t = (\frac{x_{1} + x_{2}}{2}, \frac{y_{1} + y_{2}}{2})$

Given that,

$\begin{array}{rcl} m i d p o i n t o f t h e e n d p o i n t & = & (4, 8) \\ (x_{1}, y_{1}) & = & (0, 6) \end{array}$

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Given the endpoint (0,6) and midpoint (4, 8), what is the other endpoint? The endpoint is: