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musickatia [10]
2 years ago
15

Find the midpoint of the line segment whose endpoints are (3, 10) and (7, 8).

Mathematics
2 answers:
Debora [2.8K]2 years ago
8 0

Answer:

The midpoint of line segment is (5,9).

Step-by-step explanation:

Given : Line segment whose endpoints are (3, 10) and (7, 8).

To find : Find the midpoint of the line segment .

Solution : We have given that endpoints  (3, 10) and (7, 8).

By the midpoint segment formula :

     Midpoint :

(\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}).

Here, the coordinate of x_{1} = 3 ,   x_{2} = 7 ,

                                      y_{1} = 10 ,      y_{2} = 8 ,

Plugging values in formula ,

Midpoint =(\frac{3+7}{2} , \frac{10+8}{2}).

Midpoint =(\frac{10}{2} , \frac{18}{2}).

Midpoint = (5 , 9).

Therefore, the midpoint of line segment is (5,9).

Stels [109]2 years ago
6 0

Answer:

Option 2 is correct.

Step-by-step explanation:

Given the coordinates of lines segment (3, 10) and (7, 8). we have to find the mid-point of given line segment.

Mid-point formula states that if (x_1,y_1) and (x_2,y_2) are the coordinates of end points of line segment then the coordinates of mid-point are

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

∴ Coordinates of mid-point of line segment joining the points          (3, 10) and (7, 8) are

(\frac{3+7}{2},\frac{10+8}{2})=(\frac{10}{2},\frac{18}{2})=(5,9)

Hence, option 2 is correct.

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