Add Math: Midpoint Theorem
In the diagram, ABC is a triangle.
D is apoint on AB and E is a point on AC.
measures the gradient of DE and measures the gradient of BC.
Question 1 Observe the length of AD, DB, AE and EC. What can you say about the point D and point E?
Question 2 Observe the value of and . What can you say about the line BE 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 and E are the midpoints of sides AB and AC respectively, then ..."