Question

The midpoint of UV is M(-4.5, -1.5). One endpoint is U(6, 8). Find the coordinates of the other endpoint V. Write the coordinates as decimals or integers. V=​

Answer 1

To find the coordinates of endpoint V given the midpoint M(-4.5, -1.5) and one endpoint U(6, 8), we use the midpoint formula and solve for V, yielding V(-15, -11).

Step-by-step explanation:

The coordinates of the midpoint M are the averages of the coordinates of the endpoints U and V. Since one endpoint U(6, 8) is known and M(-4.5, -1.5) is given as the midpoint, we can find the coordinates of the other endpoint V using the midpoint formula: M = ((Ux + Vx) / 2, (Uy + Vy) / 2). Thus, we need to solve for Vx and Vy.

• Calculate Vx: -4.5 = (6 + Vx) / 2 → Vx = -4.5 * 2 - 6 = -15.
• Calculate Vy: -1.5 = (8 + Vy) / 2 → Vy = -1.5 * 2 - 8 = -11.

Therefore, the coordinates of the other endpoint V are V(-15, -11).