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Parallel & Triangle: Part 2

Overview

Explore the dynamic construction below.
  • Points A, B, and C are the endpoints of a triangle. These endpoints can be moved.
  • The line through D and E is parallel to the line BC. Point D can be moved.

Dynamic Construction

Question 4

What proportional relationship is shown? Can you write the proportion in terms of the side length names?

Question 5

What happens when you change the endpoints of the triangle? How does this affect the side lengths and the proportional relationship you found?