Median of a Trapezoid,
Theorems and Problems Table of Content






Trapezoids. Index. 


Geometry
Problem 1519 and a Thematic Poem.
Discover the Length of a Segment in a Parallelogram using Midpoints and Parallel Lines. 


Geometry
Problem 1515 and a Thematic Poem.
Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School. 


Problem 237. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
Median of a Trapezoid. 


Geometry Problem 236. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
Median of a Trapezoid.



Proposed Problem 231. Triangle, Midpoints, Transversal,
Perpendicular lines.
Median of a Trapezoid.



Geometry Problem 230. Triangle, Midpoints, Transversal,
Perpendicular lines.



Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular
lines.
Median of a Trapezoid. 


Geometry Problem 228. Triangle, Midpoints, Exterior line,
Perpendiculars lines.
Median of a Trapezoid.



Proposed Problem 227. Triangle, Centroid, Exterior line,
Perpendicular lines.
Median of a Trapezoid. 


Geometry Problem 226. Triangle, Centroid, Perpendiculars.
Median of a Trapezoid. 


Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.
Midpoints. Median of a Trapezoid. 


Geometry Problem 218. Right triangle, Altitude and Projections.
Midpoints. Median of a Trapezoid. 


Proposed Problem 217. Right triangle, Altitude and Projections.
Midpoints. Median of a Trapezoid. 


Trapezoid,
Triangle, Diagonals, Midpoints.
Dynamic Geometry.
StepbyStep construction, Manipulation, and animation.
Prove proposition. 


Geometry Problem 170. Trapezoid,
Midpoint, Triangle, Area.
Median of a Trapezoid. 


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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