Question

Segment YZ has an endpoint Y(2, 5) and a midpoint coordinate M(5, 1). What are the coordinates of the endpoint Z?

Answer 1

Explanation:

To find the coordinates of endpoint Z, we can use the midpoint formula.

The midpoint formula states that the coordinates of the midpoint (M) of a line segment with endpoints (x1, y1) and (x2, y2) can be found by taking the average of the x-coordinates and the average of the y-coordinates.

Given information:

Endpoint Y: Y(2, 5)

Midpoint M: M(5, 1)

Using the midpoint formula, we can calculate the coordinates of endpoint Z:

x-coordinate of Z = (x-coordinate of Y + x-coordinate of M) / 2

= (2 + 5) / 2

= 7 / 2

= 3.5

y-coordinate of Z = (y-coordinate of Y + y-coordinate of M) / 2

= (5 + 1) / 2

= 6 / 2

= 3

Therefore, the coordinates of endpoint Z are Z(3.5, 3).