Take Note Concept Summary: Special Segments and Lines in Triangles

Perpendicular Bisectors

Angle Bisectors

Medians

Altitudes

✓ Lesson Check

Do you know HOW?

Use Δ A B C cap delta eh b c  for Exercises 1–4.

1. Is A P ¯ eh p bar  a median or an altitude?
2. If A P = 18 , eh p equals 18 . comma  what is KP?
3. If B K = 15 , b k equals 15 . comma  what is KQ?
4. Which two segments are altitudes?

Do you UNDERSTAND?

5. Error Analysis Your classmate says she drew H J ¯ h j bar  as an altitude of Δ A B C . cap delta eh b c .  What error did she make?

   

6. Reasoning Does it matter which two altitudes you use to locate the orthocenter of a triangle? Explain.
7. Reasoning The orthocenter of Δ A B C cap delta eh b c  lies at vertex A. What can you conclude about B A ¯ b eh bar  and A C ¯ ? eh c bar , question mark  Explain.