Midpoint Theorem in a triangle

In the figure, [i]ABC[/i] is a triangle. [br][i]D[/i] is a point on [[i]AB][/i] and [i]E[/i] is a point on [[i]AC][/i].
Question 1
Observe the length of segments [[i]AD][/i], [[i]DB][/i], [[i]AE][/i] and [[i]EC][/i].[br][br]What does represent the point [i]D for the segment [AB][/i] and point [i]E for segment [AC][/i]?
Question 2
Observe the value of the angles <ADE and <A[i]BC. [br][br][/i]What can you say about the lines (DE) and (BC)?
Question 3
Observe the length of [[i]DE][/i] and [[i]BC][/i]. [br][br]What can you say about the length of [[i]DE][/i] and [[i]BC][/i]?
Drag points [i]A[/i], [i]B[/i] and [i]C[/i] randomly.[br][br]Reflect if the observations made in Question 1 to 3 are still the same after points [i]A[/i],[i] B[/i] and [i]C[/i] are moved.
Question 4
Complete the following sentence to suggest what Midpoint Theorem is.[br][br]"In △[i]ABC[/i], if [i]D[/i] midpoint of [AB] and [i]E[/i] midpoint of [[i]AC][/i], then ..."[br][br][br]
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