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