Triangle Relationships

Jed Butler, Mar 18, 2014

Looking at different types of triangles. When do segments form a triangle? What kind of triangle does it form? How do you know?

Table of Contents

  1. Triangle Angle Relationships
    1. Angle Pairs (and other groups)
    2. Triangle Angle Relationships
  2. Triangle Classification
    1. Triangle Classification (is it one?, if so what type?)
    2. Classifying Triangles
    3. Pythagorean Theorem Converse
  3. Triangle Congruence
    1. Introduction to rigid transformations (reflection)
    2. Rigid Congruence with Transformations
    3. Rigid Congruence with Transformations Introduction

1.

Triangle Angle Relationships

  • 1. Angle Pairs (and other groups)
  • 2. Triangle Angle Relationships

1.1.

Angle Pairs (and other groups)

Use the slider to change the angle measures. See which groups of angles add up to 90,180, or 360 degrees. Also look for angles that are congruent, or groups of angles that are congruent.

There are 2 answers for each. Find both. There are at least 2 ways to setup/calculate the value for each angle. Do both. [b]1) Which angles add up to 90 degree? 2) Which angles add up to 180 degrees? 3) Which angles are congruent?[/b]
– Jed Butler

1.2.

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2.

Triangle Classification

  • 1. Triangle Classification (is it one?, if so what type?)
  • 2. Classifying Triangles
  • 3. Pythagorean Theorem Converse

2.1.

Triangle Classification (is it one?, if so what type?)

Use the sliders to change the segment lengths. Drag the BLUE points to turn turn or move the segments. Try to create a triangle.

1) Which combinations of lengths a) make it possible form a triangle b) make it impossible to form a triangle 2) What do you notice about the lengths of the triangle when angle BAC is a) obtuse: b) acute: c) right
– Jed Butler

2.2.

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2.3.

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3.

Triangle Congruence

  • 1. Introduction to rigid transformations (reflection)
  • 2. Rigid Congruence with Transformations
  • 3. Rigid Congruence with Transformations Introduction

3.1.

Introduction to rigid transformations (reflection)

Use the slider and checkbox to see how a pre-image can be transformed through reflection.

How would you describe the change?
– Jed Butler

3.2.

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3.3.

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Information