Final answer:
The location of the point V, which is the endpoint of a line segment with midpoint T, can be found using the midpoint formula. By substituting the x-coordinate of the midpoint into the formula and solving for the x-coordinate of V, we can determine the location of V. In this case, the location of V is (0, -14).
Step-by-step explanation:
The point V can be found by using the midpoint formula, which states that the coordinates of the midpoint of a line segment are the averages of the coordinates of its endpoints. In this case, the coordinates of the midpoint T are given as (-14, ?). Since T is the midpoint of bar SV, we can find the location of V by substituting the x-coordinate of T into the equation for the x-coordinate of V. If the x-coordinate of V is -14, then the equation becomes:
-14 = (x-coordinate of S + x-coordinate of V) / 2
Since T is the midpoint, the x-coordinate of S is equal to -14. Therefore, we have:
-14 = (-14 + x-coordinate of V) / 2
Multiplying both sides of the equation by 2, we get:
-28 = -14 + x-coordinate of V
Subtracting -14 from both sides of the equation, we obtain:
x-coordinate of V = -14 - (-14) = 0
Therefore, the location of V is (0, -14).