Midpoint in 3D Space Quiz

What is the main difference between finding the midpoint in 2D and 3D space?

• You subtract coordinates in 3D space.

• You add a third coordinate in 3D space.

• There is no difference.

• You multiply coordinates in 3D space.

How do you find the midpoint between two points in 3D space?

• By averaging the coordinates of the points.

• By multiplying the coordinates of the points.

• By subtracting the coordinates of the points.

• By dividing the coordinates of the points.

In the first example, what is the x-coordinate of the midpoint between points P(4, -1, 3) and Q(-2, 2, -8)?

• 2

• 3

• 0

• 1

What is the y-coordinate of the midpoint in the first example?

• 0

• 1

• -1/2

• 1/2

In the second example, what is the x-coordinate of the midpoint between points P(1/2, 0, -5/6) and Q(-7/4, 9/2, 3)?

• -5/8

• -3/8

• -7/8

• -1/8

What is the z-coordinate of the midpoint in the second example?

• 11/12

• 15/12

• 9/12

• 13/12

In the third example, what is the x-coordinate of the midpoint between points P(√2, 4√7, -5√3) and Q(5√2, 3√7, 2√3)?

• 3√2

• 4√2

• 2√2

• 5√2

What is the y-coordinate of the midpoint in the third example?

• 5√7/2

• 7√7/2

• 6√7/2

• 8√7/2

How do you handle radicals when finding the midpoint in 3D space?

• Multiply them by 2.

• Ignore them.

• Treat them as like terms and simplify.

• Add them directly without simplification.

What is the z-coordinate of the midpoint in the third example?

• -3√3/2

• -2√3/2

• -4√3/2

• -5√3/2