Question

plss help me in this answer

Answer 1

let P, Q,R and S are the points which devide seg. AB in 5 congruent parts
Where
A(1,2) ,B(6,7)
here P(x1,y1) divide seg. AB in the ratio 1:4
Bye section formula

$x1 = 1 \times 6 + 4 \times 1 \div 1 + 4$

$= 10 \div 5$
$= 2$
$y1 = 1 \times 7 + 4 \times 2 \div 1 + 4$

$= 7 + 8 \div 5$
$= 15 \div 5$
$= 3$
co-ordinates of point P are (2,3).

P is the midpoint of seg. AQ
Where
A(1,2) ,Q(x2,y2) ,P(2,3)
By midpoint formula

$2 = 1 + x2 \div 2$
$4 = 1 + x2$
$4 - 1 = x2$
$x2 = 3$
$3 = 2 + y2 \div 2$
$6 = 2 + y2$
$6 - 2 = y2$
$y2 = 4$
Co-ordinates of point Q are (3,4)

Q (3,4) is midpoint of seg. PR
Where
P(2,3),Q(3,4),R(x3,y3)
By midpoint formula
$3 = 2 + x3 \div 2$
$6 = 2 + x3$
$6 - 2 = x3$
$x3 = 4$
$4 = 3 + y 3$

$8 = 3 + y3$
$8 - 3 = y3$
$y 3 = 5$
Co-ordinates of point R are (4,5)

I hope it will help you