Triangle Inequality, Hinge, Mids, & More

Travis Poland, Feb 26, 2018

Table of Contents

  1. Lesson 2 Geogebra Applets
    1. Triangle Angle Theorems
    2. Exterior Angle Theorem - YL U4L3
    3. Triangle Inequality (II)
    4. Right, Obtuse, or Acute
  2. Lesson 3
    1. Hinge Theorem
    2. Inequalities in 1 Triangle
    3. Triangle Midsegment Action!
    4. Medians and Centroid Dance
    5. Altitudes and orthocenter
    6. Circumcenter & Circumcircle Action!
    7. Incenter Exploration (A)
    8. Explore circumcenters, incenters, centroids and orthocenters

1.

Lesson 2 Geogebra Applets

  • 1. Triangle Angle Theorems
  • 2. Exterior Angle Theorem - YL U4L3
  • 3. Triangle Inequality (II)
  • 4. Right, Obtuse, or Acute

1.1.

Triangle Angle Theorems

Interact with the app below for a few minutes.  [br]Then, answer the questions that follow.  [br][br]Be sure to change the locations of this triangle's vertices each time [i]before[/i] you drag the slider!
What is the [b]sum of the measures of the interior angles of this triangle? [/b]
What is the [b]sum of the measures of the exterior angles [/b]of this triangle?
– Tim Brzezinski

1.2.

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1.3.

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1.4.

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2.

Lesson 3

  • 1. Hinge Theorem
  • 2. Inequalities in 1 Triangle
  • 3. Triangle Midsegment Action!
  • 4. Medians and Centroid Dance
  • 5. Altitudes and orthocenter
  • 6. Circumcenter & Circumcircle Action!
  • 7. Incenter Exploration (A)
  • 8. Explore circumcenters, incenters, centroids and orthocenters

2.1.

Hinge Theorem

Hinge THeorem
– mrsknappmonster

2.2.

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2.3.

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2.4.

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2.5.

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2.6.

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2.7.

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2.8.

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