Relative Position of ANGLES

Sarah Khaled, Feb 14, 2021

Table of Contents

  1. Adjacent Angles
    1. Characteristics of Adjacent Angles
    2. Angles forming a Straight Angle
  2. Vertically Opposite Angles
    1. Vertically Opposite Angles
    2. Conditions of Vertical Angles
  3. Complementary Angles
    1. Complementary Meaning
    2. Complementary Adjacent Angles
  4. Supplementary Angles
    1. Supplementary Angles
    2. Supplementary Angles

1.

Adjacent Angles

You will explore the relationships between the following angle relationships: [*]adjacent angles

  • 1. Characteristics of Adjacent Angles
  • 2. Angles forming a Straight Angle

1.1.

Characteristics of Adjacent Angles

Check what makes these two angles <CAD and <DAB adjacent:
– Sarah Khaled, Simon Job

1.2.

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2.

Vertically Opposite Angles

You will explore the relationships between the following angle relationships: [*]vertically opposite angles

  • 1. Vertically Opposite Angles
  • 2. Conditions of Vertical Angles

2.1.

Vertically Opposite Angles

<JBD =
– Sarah Khaled, James Monaghan

2.2.

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3.

Complementary Angles

You will explore the relationships between the following angle relationships: [*]complementary angles

  • 1. Complementary Meaning
  • 2. Complementary Adjacent Angles

3.1.

Complementary Meaning

[color=#000000]In the app below, the two colored angles [/color][color=#000000]are said to be [/color][b][color=#000000]complementary angles[/color][/b][color=#000000]. [/color]
Interact with this app for a few minutes. LARGE POINTS are moveable.
In your own words, describe what you think it means for 2 angles to be complementary.
– Sarah Khaled, Tim Brzezinski

3.2.

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4.

Supplementary Angles

You will explore the relationships between the following angle relationships: [*]supplementary angles

  • 1. Supplementary Angles
  • 2. Supplementary Angles

4.1.

Supplementary Angles

[color=#000000]In the applet below, the [/color][b][color=#ff00ff]pink angle[/color][/b][color=#000000] and the [/color][b][color=#1e84cc]blue angle[/color][/b][color=#000000] are said to be [/color][b][color=#000000]supplementary angles[/color][/b][color=#000000]. [br][br]Interact with this applet for a minute or two, and answer the questions that appear below it.[/color]
If the blue angle is 80 degrees, what should be the measure of the pink angle? Knowing that both are supplementary angles.
– Sarah Khaled, Tim Brzezinski

4.2.

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Information