Median of a Trapezoid,
Theorems and Problems- Table of Content
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![Trapezoid median, Theorems and Problems, Index](trapezoid_median_index_17.jpg) |
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![Trapezoid Index](trapezoid_170.jpg) |
Trapezoids. Index. |
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![Geometry Problem 1519](../school-college/6/p1519-parallelogram-length-midpoints-parallel-line-1.jpg) |
Geometry
Problem 1519 and a Thematic Poem.
Discover the Length of a Segment in a Parallelogram using Midpoints and Parallel Lines. |
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![Geometry Problem 1515](../school-college/6/p1515-distance-centroid-triangle-median-exterior-line-perpendicular-1.jpg) |
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. |
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![Quadrilateral, midpoints](../problem/p237_quadrilateral_17.jpg) |
Problem 237. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
Median of a Trapezoid. |
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![Quadrilateral, midpoints](http://gogeometry.com/
problem/p236_quadrilateral_17.jpg) |
Geometry Problem 236. Quadrilateral, Midpoints, Exterior line,
Perpendicular lines.
Median of a Trapezoid.
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![Elearn 231: Triangle, Midpoint](http://gogeometry.com/
problem/p231_triangle_midpoint_17.jpg) |
Proposed Problem 231. Triangle, Midpoints, Transversal,
Perpendicular lines.
Median of a Trapezoid.
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![Elearn 230: Triangle, Midpoint, Transversal](../problem/p230_triangle_midpoint_17.jpg) |
Geometry Problem 230. Triangle, Midpoints, Transversal,
Perpendicular lines.
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![Elearn 229: Triangle, Centroid, Transversal](../problem/p229_triangle_centroid_17.jpg) |
Proposed Problem 229. Triangle, Centroid, Transversal, Perpendicular
lines.
Median of a Trapezoid. |
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![Elearn 228: Triangle, Midpoint](../problem/p228_triangle_midpoint_17.jpg) |
Geometry Problem 228. Triangle, Midpoints, Exterior line,
Perpendiculars lines.
Median of a Trapezoid.
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![Elearn 227: Triangle, Centroid](../problem/p227_triangle_centroid_17.jpg) |
Proposed Problem 227. Triangle, Centroid, Exterior line,
Perpendicular lines.
Median of a Trapezoid. |
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![Problem 226: Triangle, Centroid](../problem/p226_triangle_centroid_17.jpg) |
Geometry Problem 226. Triangle, Centroid, Perpendiculars.
Median of a Trapezoid. |
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![Rhombus problem](http://gogeometry.com/
problem/p219_rhombus_mean_17.jpg) |
Proposed Problem 219. Rhombus, perpendiculars, arithmetic mean.
Midpoints. Median of a Trapezoid. |
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![Elearn 218: Right triangle](http://gogeometry.com/
problem/p218_right_triangle_17.jpg) |
Geometry Problem 218. Right triangle, Altitude and Projections.
Midpoints. Median of a Trapezoid. |
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![Elearn 217: Right triangle, Altitude, Projections](http://gogeometry.com/
problem/p217_right_triangle_17.jpg) |
Proposed Problem 217. Right triangle, Altitude and Projections.
Midpoints. Median of a Trapezoid. |
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![Trapezoid](trapezoid_diagonal_01_17.jpg) |
Trapezoid,
Triangle, Diagonals, Midpoints.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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![Trapezoid, Triangle, Area](../problem/p170_trapezoid_triangle_17.jpg) |
Geometry Problem 170. Trapezoid,
Midpoint, Triangle, Area.
Median of a Trapezoid. |
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![Geometry Problem 158](../problem/p158_elearning_triangle_17.jpg) |
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.
![Trapezoid definition](trapezoid_definition.gif)
SCALENE, ISOSCELES, AND RIGHT
TRAPEZOID:
![Scalene, Isosceles, Right trapezoid](trapezoid_isosceles_1.gif)
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.
![Median of a trapezoid](trapezoid_median.gif)
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.
![Midpoints of diagonals of a trapezoid](trapezoid_midpoint_diagonal.gif)
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