Mathematical PracticesYou will use appropriate tools strategically, look for and make use of structure, and look for and express regularity in...
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Question

Inscribed Circle of a Triangle

This activity will help you meet these educational goals:

  • Mathematical Practices—You will use appropriate tools strategically, look for and make use of structure, and look for and express regularity in repeated reasoning.
  • Inquiry—You will perform an investigation in which you will collect information, make observations, analyze results, communicate your results in tables and written form, and draw conclusions.
  • 21st Century Skills—You will employ online tools for research and analysis, assess and validate information, and communicate effectively.

Directions

Read the instructions for this self-checked activity. Type in response to each question, and check your answers.  

Activity

You will use the GeoGebra geometry tool to construct the inscribed circle of a triangle. Go to triangles and circles, Copy and past into web browser http://contentstore.ple.platoweb.com/content/GeoGebra.v5.0/B3.3_Triangles_and_Circles.html and complete each step below. 


Question 1

  1. Do a triangle ABC of your choice. Using GeoGebra tools, construct the angle bisectors of ∠A  and ∠B. Mark the intersection point of the angle bisectors, and label it point D.
  2. Do a line through point D perpendicular to AC¯
  3. .
  4. Find the intersection of line segment AC¯
  5.  and the perpendicular line, and label it point E. With point as the center, do a circle passing through point E.
  6. Measure and label the radius of the inscribed circle of ΔABC on the diagram.
  7. Take a screenshot of your result, and paste it below.

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