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Gennadij [26K]
2 years ago
12

The midpoint of a segment is (4,3) and one endpoint is (10,8) Find the coordinates of the other endpoint.

Mathematics
2 answers:
Oduvanchick [21]2 years ago
4 0

Answer:

(-2,-2).

Step-by-step explanation:

Let us assume that coordinates of other endpoint are (x_1,y_1)

We have been given that the midpoint of a segment is (4,3) and one endpoint is (10,8). We are asked to find the coordinates of the other endpoint.  

We will use midpoint formula to solve our given problem.

x\text{-coordinate of midpoint}=\frac{x_1+x_2}{2}

y\text{-coordinate of midpoint}=\frac{y_1+y_2}{2}

Upon using our given information, we will get:

4=\frac{x_1+10}{2}

4\cdot 2=\frac{x_1+10}{2}\cdot 2

8=x_1+10

8-10=x_1+10-10

x_1=-2

Similarly, we will find y-coordinate.

3=\frac{y_1+8}{2}

3\cdot 2=\frac{y_1+8}{2}\cdot 2

6=y_1+8

6-8=y_1+8-8

y_1=-2

Therefore, the coordinates of other endpoint would be (-2,-2).

Amanda [17]2 years ago
3 0
The answer is: (-2,-2). :)
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