Question

9. Find the coordinates of the points which divide the line segment joining A(-2, 2) and
B(2,8) into four equal parts.​

Answer 1

Answer:

ANSWER

Let

P,Q,R be the points that divide the line segment joining A(−2,2) and B(2,8) into four equal parts.

Since, Q is the mid-point of AB.

∴ Coordinates of Q are (

2

−2+2

,

2

2+8

)

I.e., (0,5)

Now, P divides AQ into two equal parts i.e., P is the mid-point of AQ

∴ Coordinates of P are (

2

−2+0

,

2

2+5

)

I.e., (−1,

2

7

)

Again, R is the mid-point of QB.

∴ Coordinates of R are (

2

0+2

,

2

5+8

)

İe., (1,

2

13

)

Hence, the coordinates of P,Q and R are (0,5),(−1,

2

7

) and (1,

2

13

).

Answer 2

Answer:

(0,5)

Step-by-step explanation:

The midpoint of all four sides.