Question

HELP!!! GEOMETRY!
Midpoint of ST is (5, -8). Find S if T is:

a) T (0,4)
b) T (5, -15)
c) T (10, 18)
d) T (-2, 8)
e) T (1, 12)

Answer 1

\(x_m,y_m\) is between \((x_1,y_1)\) and \((x_2,y_2)\) if \(x_m=\frac{x_1+x_2}2\) and \(y_m=\frac{y_1+y_2}2\).

Answer 2

can you show me A?

Answer 3

-5, 16 ?? :))

Answer 4

We need to find the coordinates of S. Let them be \((S_x,S_y)\). Let the coordinates of T be \((T_x,T_y)\). They are (0,4). Let rhe coordinates of midpoint be \((ST_x,ST_y)\). Using the formula we get:
\(ST_x=\frac{S_x+T_x}2=\frac{S_x+0}2=5\). So, \(S_x=10\). The same for \(S_y\):
\(ST_y=\frac{S_y+T_y}2=\frac{S_y+4}2=-8\) So, \(S_y=-20\).
Answer: (10,-20).

Answer 5

Did you understand?