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Construct the centroid or orthocenter of a triangle

Free printable Integrated Math 2 math worksheet for "Construct the centroid or orthocenter of a triangle" — practice triangle theorems and quadrilaterals. No-prep, print or assign online.

This worksheet guides students through the geometric constructions of the centroid and orthocenter of triangles, reinforcing their understanding of triangle theorems. Teachers can use this resource to provide hands-on practice with compass and straightedge techniques, enhancing spatial reasoning and precision in geometric constructions. Ideal for Integrated Math 2 classes, it supports mastery of key concepts in triangle centers and quadrilateral properties.

Math
Geometry
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Construct the centroid of a triangle using the intersection of medians.
  • Construct the orthocenter of a triangle by drawing the altitudes and identifying their intersection.
  • Differentiate between the properties and locations of the centroid and orthocenter in various types of triangles.

How to use this worksheet

  1. Click “Download Worksheet” to get the PDF — free with a KiwiBee account (up to 25 downloads a month).
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Hand it out as classwork, homework, or a quick warm-up.

Frequently asked questions

Is the “Construct the centroid or orthocenter of a triangle” worksheet free?

Yes. “Construct the centroid or orthocenter of a triangle” is a free printable Math worksheet. Sign in with a free KiwiBee account to download the PDF — it includes up to 25 downloads a month.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Triangle theorems and quadrilaterals.

Do I need to prep anything?

No. It's a no-prep, print-and-go worksheet — just download and hand it out.

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