3D Midpoint

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

Tags

CCSS.HSG.GPE.B.6

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

Tags

CCSS.HSG.GPE.B.6

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

Tags

CCSS.HSG.GPE.B.6

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

Tags

CCSS.HSG.GPE.B.6

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

Tags

CCSS.HSG.GPE.B.6

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.

Tags

CCSS.HSG.GPE.B.6

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)

Tags

CCSS.HSG.GPE.B.6

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)

Tags

CCSS.HSG.GPE.B.6

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.

Tags

CCSS.HSG.GPE.B.6

What is the justification (reason)?

• reflexive property

• definition of segment bisect

• definition of a midpoint

• substitution property

Tags

CCSS.HSG.CO.C.10