Orthocenter - 2019

Constructing the Orthocenter

Steps to construct orthocenter.

Step 1: Use Toolbar Image to construct the line through A and perpendicular to BC. Step 2: Use Toolbar Imageto construct the line through B and perpendicular to AC. Step 3: Use Toolbar Image to construct the line through C and perpendicular to AB. Each line you constructed above contains an altitude of the triangle. Step 4: Use Toolbar Image to place a point where the altitudes intersect. Step 5: Use Toolbar Image to add a label to this point where the altitudes intersect.
The point where all the altitudes intersect is called the orthocenter. To answer the questions below, it might help to Toolbar Imagemeasure each angle of the original triangle ABC.

1. For what type of triangle is the orthocenter outside the triangle?

Select all that apply
  • A
  • B
  • C

2. Move your triangle around so that the orthocenter is on a vertex. What is true about the triangle when this happens?

Select all that apply
  • A
  • B
  • C

3. Move your triangle so that vertex A is directly above on a vertical line from the orthocenter. What is true about the triangle when this happens?

Select all that apply
  • A
  • B
  • C