Distance & midpoint in 2D

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Card 1 of 43.1.1

3.1.1

Question

What is the 2D distance formula between (x1,y1) and (x2,y2)?

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Card 1formula

Question

What is the 2D distance formula between (x1,y1) and (x2,y2)?

Answer

d = sqrt((x2-x1)^2 + (y2-y1)^2)

💡 Hint

Subtract coordinates first, then square.

Card 2definition

Question

What is the midpoint formula in 2D?

Answer

M = ((x1+x2)/2, (y1+y2)/2)

💡 Hint

Average x-coordinates and y-coordinates separately.

Card 3concept

Question

When do we use the 3D distance formula?

Answer

When points have x, y, and z coordinates.

💡 Hint

Add the z-difference squared as well.

Card 4comparison

Question

Common IB trap with distance questions?

Answer

Mixing up subtraction order before squaring and arithmetic slips.

💡 Hint

Squaring removes sign, but arithmetic still matters.

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Full study notes for Distance & midpoint in 2D

Topic 3.1 hub

3D space, volume, angles, and midpoints