Question

Q.1. Find the coordinates of the mid point of the line
segment joining the points (4,3) and (2, 1)​

Answer 1

Answer:

1. Add the two x-coordinates 4 and 2 together then divide it by 2 to get the average the midpoint for the x-value,i.e, 3.

2. Then, do the same thing with the y-coordinates 3 and 1 to get the midpoint for y-coordinates,i.e, 2.

3. Therefore the coordinates of the mid point of the line segment joining the points (4,3) and (2, 1) is ( 3, 2).

I hope this is helpful to you.

Answer 2

Answer :-

The coordinates of the mid-point is (3,7).

Step-by-step Explanation:

To Find :-

• The mid-point of the line segment joining the points (4,3) and (2, 1).

Let P be the mid-point of the line segment joining the points $\bf \underline{A({x}_{1}, {y}_{1})}$ and $\bf \underline{B({x}_{2}, {y}_{2})}$.

So, Required to find the coordinates of P.

• P = (x,y)

As we know that,

• $\: \: \: \: \underline{\boxed{\sf{\dfrac{{x}_{1} + {x}_{2}}{2} \: \: \: , \: \: \: \dfrac{{y}_{1} + {y}_{2}}{2}}}}$

Therefore,

$\\ \longmapsto \: \: \: \sf{ \bigg \{\dfrac{{x}_{1} + {x}_{2}}{2} \: \: \: , \: \: \: \dfrac{{y}_{1} + {y}_{2}}{2} \bigg \}}$

$\\ \longmapsto \: \: \: \sf{ \bigg \{\dfrac{1 + 2}{2} \: \: \: , \: \: \: \dfrac{3 + 4}{2} \bigg \}}$

$\\ \longmapsto \: \: \: \sf{ \bigg \{\dfrac{3}{2} \: \: \: , \: \: \: \dfrac{7}{2} \bigg \}}$

$\\ \longmapsto \: \: \: \sf \{ \red{3,7} \}$

Hence,

The coordinates of the mid-point is (3,7).

________________________

FORMULA USED -

Mid-section formula :-

$\sf{ \bigg \{\dfrac{{x}_{1} + {x}_{2}}{2} \: \: \: , \: \: \: \dfrac{{y}_{1} + {y}_{2}}{2} \bigg \}}$