Grade 10 Academic (MPM2D) · Analytic Geometry

Midpoint and length of a line segment

Find the midpoint of a line segment, its length using the distance formula, or a missing endpoint given the midpoint. Unlimited questions, five difficulty levels, and a full worked solution every time — free.

Practice this skill Curriculum: MPM2D-AG2.1

Try one

Find the midpoint of the segment with endpoints A(4, -2) and B(12, -20).

Answer: (8, -11)

See one solved, step by step

Find the length of the segment with endpoints A(-3, 1) and B(3, -7).

📘 Worked solution
1A = (−3, 1), B = (3, −7)These are the two endpoints.
2d = √((x2-x1)2 + (y2-y1)2) = √((6)2 + (−8)2)The length formula comes from the Pythagorean theorem applied to the horizontal and vertical legs.
3d = √(36 + 64) = √(100) = 10(6, 8, 10) is a Pythagorean triple, so the square root is a whole number.

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