[b]Step 1[/b]: Use the "parallel line" tool to construct a line parallel to Segment AC through point D. [br][b]Step 2:[/b] Create point E where the parallel line intersects side BC.[br] [u]Question 1:[/u] Is Triangle BDE similar to Triangle BAC? How do you know? (Measure angles EDB, BED, CAD, and ECA). [br][b]Step 3:[/b] Use the "Distance or Length" tool to measure BD, DA, BE, and EC. [br][b]Step 4:[/b] Set up the following ratios: [br][math]\frac{BD}{AD},\frac{BE}{CE}[/math][br] [u]Question 2:[/u] What do you notice about those ratios? Make a different triangle, and write the two ratios again? Does the relationship still hold?[br][br] [u]Question 3:[/u] All of this was based on line DE being parallel to side AC. If you constructed a line not parallel to AC through point D, would the triangles still be similar? Explain why or why not.