Question

The midpoint of KL is M(14, 3). One endpoint is L(15, 3). Find the coordinates of the other endpoint K.

a) (13, 3)
b) (16, 3)
c) (14, 3)
d) (15, 3)

Answer 1

The coordinates of the other endpoint, K, are (13, 3).

Step-by-step explanation:

To find the coordinates of the other endpoint, K, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint (M) are the average of the x-coordinates and the average of the y-coordinates of the endpoints.

Given that the midpoint is M(14, 3) and one endpoint is L(15, 3), we can plug in the values into the formula:

x-coordinate: (x1 + x2) / 2 = (15 + x2) / 2 = 14

Simplifying the equation, we get: 15 + x2 = 28

x2 = 28 - 15 = 13

So the x-coordinate of the other endpoint, K, is 13.

Since the y-coordinate of K is the same as the y-coordinate of L, which is 3, the coordinates of K are (13, 3).