Question

Find the missing end point if H is the midpoint of PS. P(2,5) and H (3,4) find S (endpoint)

Answer 1

Answer:

(4,3)

Step-by-step explanation:

To find the midpoint add the end points and divide by 2

P(2,5)    S ( sx, sy)  and the midpoint is and H (3,4)

X coordinate

( 2+ sx) /2 = 3

Multiply each side by 2

2+sx = 3*2

2+sx = 6

Subtract 2

sx = 4

Y coordinate

( 5+ sy) /2 = 4

Multiply each side by 2

5+sy = 4*2

5+sy = 8

Subtract 5

sy = 3

The end point is

(4,3)

Answer 2

Answer:

$\huge \boxed{\mathrm{S(4,3)}}$

Step-by-step explanation:

We can use the midpoint formula to solve for the endpoint.

$\displaystyle m=(\frac{x_1+x_2 }{2} ,\frac{y_1+y_2}{2} )$

The midpoint of PS is H.

$\displaystyle \frac{2+x_2 }{2} =3 \ \ \ \frac{5+y_2}{2} =4$

$\displaystyle 2+x_2 =6 \ \ \ 5+y_2 =8$

$x_2=4 \ \ \ y_2=3$

S(4, 3)