Quadrilaterals mid point theorem
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The document discusses the midpoint theorem, which states that the line segment joining the midpoints of two sides of a triangle is parallel to the third side and half its length. It provides examples of using the midpoint theorem, such as proving that the line segments connecting the midpoints of opposite sides of a parallelogram trisect the parallelogram's diagonal. The midpoint of a line segment is the average of the coordinates of the segment's endpoints. The midpoint theorem has applications in fields like construction that involve measuring heights and areas.
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Quadrilaterals mid point theorem
- 2. A mid point of a line segment is average ofA mid point of a line segment is average of the coordinates of both beginning and endthe coordinates of both beginning and end points.points. In real life the construction of certain buildingsIn real life the construction of certain buildings depend on its height and to easily find thedepend on its height and to easily find the areas.areas.
- 3. IntroductionIntroduction Mid point theorem was found by EricMid point theorem was found by Eric Wolfgang Weisstein. He is also famous for finding the ThalesWeisstein. He is also famous for finding the Thales theorem.theorem.
- 4. What mid pointWhat mid point theorem states?theorem states? The line segment joining the mid pointsThe line segment joining the mid points of two sides of a triangle is parallel to theof two sides of a triangle is parallel to the third side and is half of it.third side and is half of it.
- 5. ExampleExample In a parallelogram ABCD, E and F areIn a parallelogram ABCD, E and F are the mid points of sides AB and CDthe mid points of sides AB and CD respectively. Prove that the linerespectively. Prove that the line segments AF and EC trisect the diagonalsegments AF and EC trisect the diagonal BD.BD.