Orthocenter in Geometry: Definition & Properties

Instructions:

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?

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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?

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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
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