Given the midpoint and one of the endpoints of a line segment, find the other endpoint. Midpoint: (0,3) Endpoint: (6,-3)

Step-by-step explanation:

Midpoint: (0,3)

Endpoint: (6,-3)

Use the midpoint formula:

Since you already have the midpoint and you need an endpoint, let the unknown endpoint be (x,y). Take the midpoint formula apart:

and are the coordinates of the midpoint. Enter the known values of the midpoint into the equations:

Now enter the known endpoint values:

Solve for x. Multiply both sides by 2:

Subtract 6 from both sides:

Now solve for y. Multiply both sides by 2:

Add 3 to both sides:

Now take the values of x and y and turn into a point:

Finito.

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answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.