3D Midpoint

Find the midpoint of the segment whose endpoints are (0, 0, 0) and (3, 4, 12).

Find the midpoint of the segment whose endpoints are (5, 12, 10) and (3, 0, -1).

Find the midpoint of the segment whose endpoints are (4, -3, 6) and (1, 0, 17).

The midpoint of a segment is (8, 7, 6) and one endpoint is (10, 9, 8). What are the coordinates of the other endpoint?

The midpoint of a segment is (6, 6, 6) and one endpoint is (1, 1, 1). What are the coordinates of the other endpoint?

The midpoint of a segment is (2, -1, -3.5) and one endpoint is (-4, -5, -19). What is the length of the segment? Give your answer to three significant figures.

Find the midpoint of the line segment from P1(−10, 10, 5) to P2(2, 8, 3).

• (−4, 9, 4)

• (6, 0, −1)

• (−6, 0, 1)

• (4, −9, −4)

• (1, 9, −4)

Find the midpoint of the line segment from P1(8, 10, -3) to P2(-2, 10, 7).

• (-5, 0, 5)

• (-3, -10, -2)

• (5, 0, -5)

• (3, 10, 2)

• (-3, 10, 2)

Describe how to find the midpoint of a line segment in 3D space.

• The midpoint of a line segment in 3D space is found by averaging the x, y, and z coordinates of the two endpoints.

• The midpoint is determined by connecting the endpoints with a straight line.

• The midpoint is located at the endpoint with the highest z-coordinate.

• The midpoint is found by multiplying the coordinates of the two endpoints.

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property