Parallel & Triangle: Part 1
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 1
What observations do you have about the construction? What questions come to your mind?
Question 2
How do each of the labeled side lengths change as you adjust the position of D?
Question 3
Can you find a proportional relationship in the construction? If so, what proportion can you find? Note: a proportion is an equality statement between two ratios or fractions. Test different ratios to find two that are in proportion to one another.