Median of a Trapezoid,
Theorems and Problems- Table of Content
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Trapezoids. Index. |
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Proposed Problem 237. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
Median of a Trapezoid. |
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Proposed Problem 236. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
Median of a Trapezoid.
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Proposed Problem 231. Triangle, Midpoints, Transversal,
Perpendicular lines.
Median of a Trapezoid.
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Proposed Problem 230. Triangle, Midpoints, Transversal,
Perpendicular lines.
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Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular
lines.
Median of a Trapezoid. |
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Proposed Problem 228. Triangle, Midpoints, Exterior line,
Perpendiculars lines.
Median of a Trapezoid.
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Proposed Problem 227. Triangle, Centroid, Exterior line,
Perpendicular lines.
Median of a Trapezoid. |
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Proposed Problem 226. Triangle, Centroid, Perpendiculars.
Median of a Trapezoid. |
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Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.
Midpoints. Median of a Trapezoid. |
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Proposed Problem 218. Right triangle, Altitude and Projections.
Midpoints. Median of a Trapezoid. |
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Proposed Problem 217. Right triangle, Altitude and Projections.
Midpoints. Median of a Trapezoid. |
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Trapezoid,
Triangle, Diagonals, Midpoints.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Proposed Problem 170. Trapezoid,
Midpoint, Triangle, Area.
Median of a Trapezoid. |
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Proposed Problem 158. Relation
between the Circumradius, Inradius and Exradii of a triangle.
Median of a Trapezoid. |
Trapezoid
TRAPEZOID: A trapezoid is a
quadrilateral having two parallel sides called bases.

SCALENE, ISOSCELES, AND RIGHT
TRAPEZOID:

MEDIAN OF A TRAPEZOID (Midline or
Midsegment): Segment joining the midpoints of the two legs.
The median is parallel to the bases and equal to one half of the
sum of the bases.

MIDPOINTS OF THE DIAGONALS:
The segment joining the midpoints of the two diagonals is
parallel to the bases and equal to one half of the difference of
the bases.

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