A line segment between the midpoints of the legs of a trapezoid

Also known as midline or midsegment

Also known as midline or midsegment

Try this Drag the orange dots on each vertex
to reshape the trapezoid. Notice the behavior of the red median line.

The median line is always parallel to the bases. Adjust the trapezoid above by dragging any vertex and convince yourself this is so.

The length of the median is the average length of the bases, or using the formula:

If one of the bases is zero length, the result is a triangle. and is identical to the triangle midsegment case. The median line will then be half the remaining base. Try this out in the figure above by moving A to overlap B.

The median line is halfway between the bases. Adjust the trapezoid above by dragging any vertex and convince yourself this is so.

The median divides the trapezoid into two smaller trapezoids each with half the altitude of the original.

The area of a trapezoid is the ** altitude × median**. See Area of a trapezoid

- In the figure above, click 'hide details'.
- Adjust the points A,B,C,D to create a new trapezoid.
- Calculate the length of the median
- Click 'show details' to check your answer.

- Polygon general definition
- Quadrilateral
- Regular polygon
- Irregular polygon
- Convex polygons
- Concave polygons
- Polygon diagonals
- Polygon triangles
- Apothem of a regular polygon
- Polygon center
- Radius of a regular polygon
- Incircle of a regular polygon
- Incenter of a regular polygon
- Circumcircle of a polygon
- Parallelogram inscribed in a quadrilateral

- Square
- Diagonals of a square
- Rectangle
- Diagonals of a rectangle
- Golden rectangle
- Parallelogram
- Rhombus
- Trapezoid
- Trapezoid median
- Kite
- Inscribed (cyclic) quadrilateral

- Regular polygon area
- Irregular polygon area
- Rhombus area
- Kite area
- Rectangle area
- Area of a square
- Trapezoid area
- Parallelogram area

- Perimeter of a polygon (regular and irregular)
- Perimeter of a triangle
- Perimeter of a rectangle
- Perimeter of a square
- Perimeter of a parallelogram
- Perimeter of a rhombus
- Perimeter of a trapezoid
- Perimeter of a kite

- Exterior angles of a polygon
- Interior angles of a polygon
- Relationship of interior/exterior angles
- Polygon central angle

- Tetragon, 4 sides
- Pentagon, 5 sides
- Hexagon, 6 sides
- Heptagon, 7 sides
- Octagon, 8 sides
- Nonagon Enneagon, 9 sides
- Decagon, 10 sides
- Undecagon, 11 sides
- Dodecagon, 12 sides

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All rights reserved