Altitudes and Orthocenter
DISCOVERY
TASK 1
3 colored segments with a altitudes are given. Try to connect all three segments to form a triangle. Respond to the question once you complete the task.
Response What have you noticed about the altitudes of the segments after a triangle has been constructed? Explain.
========================== PART 2 ========================
TASK 2
Draw All 3 Altitudes of the Triangle
Step 1: Use perpendicular line
to draw the altitudes of the triangle (side, vertex)
Step 2: Use
to locate the intersection of the altitudes (vertex, vertex, vertex)


Response Use the activity to describe in your own words orthocenter of a triangle. Use your own words.
VOCABULARY
Orthocenter
TheĀ orthocenterĀ is the point of concurrency of the altitudes of a triangle.
Simply, the orthocenter is the point where the altitudes of a triangle intersect.
========================== PART 3 ========================
TASK 3
Drag the orange vertex across to change the type of triangle. Observe how the Orthocenter changes its position in regard to a triangle: Inside, Outside, and On.
How does the type of triangle (obtuse, acute, right) relate to the location of its orthocenter?
Question 1 The Orthocenter is Outside in...
Question 2 The Orthocenter is Inside in...
Question 1 The Orthocenter is On in...