Problem 106 of 7
Prove the triangle midsegment theorem using similarity.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
use similarity, coordinates, or parallelogram construction.
Hidden until you reveal it.
Proof must establish both parallelism and half-length relationship.
Enter your answer
Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Identify the midpoints connected by the midsegment.
2. Use the chosen method to relate the smaller triangle to the original.
3. Conclude the midsegment is parallel to the third side and half its length.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Proving only length or only parallelism when both are required.