Orthocenter in Geometry: Definition & Properties


Choose an answer and hit 'next'. You will receive your score and answers at the end.

question 1 of 3

What type of triangle will have an orthocenter located outside of it?

Create Your Account To Take This Quiz

As a member, you'll also get unlimited access to over 79,000 lessons in math, English, science, history, and more. Plus, get practice tests, quizzes, and personalized coaching to help you succeed.

Try it risk-free
Try it risk-free for 30 days. Cancel anytime
Already registered? Log in here for access

1. Find the orthocenter of triangle ABC with A ( 2 , 0 ) , B ( 2 , 4 ) , and C ( 5 , 0 ).

2. The altitudes of a triangle all cross at a point called what?

Create your account to access this entire worksheet
A Premium account gives you access to all lesson, practice exams, quizzes & worksheets
Access to all video lessons
Quizzes, practice exams & worksheets
Certificate of Completion
Access to instructors
Create an account to get started Create Account

About This Quiz & Worksheet

This quiz and worksheet will assess your understanding of the properties of the orthocenter. Topics on the quiz include altitudes of a triangle and the slope of an altitude.

Quiz & Worksheet Goals

Use these tools to assess your knowledge of the following:

  • Type of triangle with an orthocenter located outside of it
  • Finding orthocenter of triangles in the format of an equation
  • Point at which the altitudes of a triangle cross
  • Slope of altitude in given triangles

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related geometry lesson
  • Information recall - access the knowledge you've gained regarding properties of the orthocenter
  • Knowledge application - use your knowledge to answer questions about altitudes and slopes

Additional Learning

To learn more, review the lesson Orthocenter in Geometry: Definition & Properties, which covers the following objectives:

  • Define an orthocenter
  • Understand the altitude and point of concurrency
  • Review the special characteristics of the orthocenter