The coordinates of point T are (-3,-4). The midpoint of ST is (1,-8). Find the coordinates of S. It would be rlly nice if someone could help me out within the next 30 minutes!! Please and thank you.
If M is the midpoint,
S = M + (M-T) = (1,-8) + (4,-4) = (5,-12)
1.M(-1,-3) is the midpoint of ST. If the coordinates of A are (-3,2), find the coordinates of T.
Find the perimeter of a quadrilateral whose vertices are M(-2,2),I(5,2),L(4,-3) and K(-3,-3). What kind of a quadrilateral is MILK?
To find the coordinates of point S, we can use the formula for the midpoint of a line segment. The midpoint is the average of the x-coordinates and the average of the y-coordinates of the two endpoints.
Given that the coordinates of point T are (-3, -4) and the midpoint of ST is (1, -8), we can set up the following equations:
Midpoint formula for x-coordinate: (x1 + x2) / 2 = x-coordinate of midpoint
(x1 + 1) / 2 = 1
Simplifying the equation:
x1 + 1 = 2(1)
x1 + 1 = 2
x1 = 2 - 1
x1 = 1
Midpoint formula for y-coordinate: (y1 + y2) / 2 = y-coordinate of midpoint
(-4 + y2) / 2 = -8
Simplifying the equation:
-4 + y2 = 2(-8)
-4 + y2 = -16
y2 = -16 + 4
y2 = -12
Therefore, the coordinates of point S are (1, -12).