HONORS GEOMETRY 7.5: Parts of Similar Triangles

Do Now:

Homework Questions? Comments? Confusions? ASK ASK ASK!

Reminders: What is an altitude? What are angle bisectors? What is a median?

Triangle Parts: Altitude: From vertices to the opposite side at a right angle Angle Bisector: From vertices to the opposite side in such a way where the line cuts the angle of the triangle in half. Medians: From vertices to the midpoint of the opposite sides.

Theorem #1:

Theorem #2:

Theorem #3:

Example One Find x. Justify your answer. What theorem proves that these two triangles are similar?

Example Two: Find x. Justify your answer

Example Two: Find x. Justify your answer.

Example Three: Find x. Justify your answer.

You Try! Find AD – Justify your answer

Triangle Angle Bisector Theorem: An angle bisector in a triangle separates the opposite side into two segments that are proportional to the lengths of the other two sides.

Example Four: Find x

Example Five: Find y:

Example Six:

You Try!

Example Six: What can we say about this triangle?

Practice Problems Try some on your own/in your table groups As always if you have any questions, don’t hesitate to ask!

Exit Ticket: Find x– why can you claim this?