IM Geo.3.11 Lesson: Splitting Triangle Sides with Dilation, Part 2

What do you notice? What do you wonder?

Create several examples. Decide if the conjecture is true or false. If it’s false, make a more specific true conjecture.

Find any additional information you can be sure is true. Label it on the diagram below.

Write an argument that would convince a skeptic that your conjecture is true.

Segments

and

are parallel.

Segments

and

are parallel. Segment

is 12 units long. Segment

is 2.5 units long.

Find the lengths of sides , , and in terms of , , and in the applet below. Explain or show your reasoning.