Angle Relationships - Yr 7
1. Day 1 - Terminology and Naming Angles
1. Example and Definitions of a Point and Line
2. A Plane
3. Collinear Points Example and Definitions
4. Intersection Point and Concurrent Lines
5. Line segment example and Definition
6. Definition and example of a ray
7. Two rays to form an angle
8. Naming Angles
9. Parallel Lines
10. Perpendicular Lines
11. Markings on Geometric Figures
2. Day 2 - Classifying Angles
1. Acute Angles
2. Right Angles
3. Obtuse Angles
4. Straight Angles
5. Reflex Angle
6. Revolution Angle
3. Day 3 - Drawing and Measuring Angles
1. Measuring Angles with a protractor
2. Angle Guesser
3. Angle Creator - Sprinkler Question
4. Day 4 - Adjacent Angles
1. Adjacent Angles
5. Day 5 - Complementary and Supplementary Angles
1. Complementary Angles
2. Complementary Meaning?
3. Supplementary Angles
4. Supplementary Angles (Quick Exploration)
5. In summary...
6. How to do the practice
6. Day 6 - Angles in a Revolution
1. Simple Revolution
2. Three Ray Revolution - Angles at a point
3. How to do the practice
7. Day 7 - Vertically Opposite Angles
1. Vertically Opposite Angles
2. Perpendicular Lines
8. Day 8 - Constructing with Geogebra

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Angle Relationships - Yr 7

Ryan Smith, Apr 5, 2020

Day 1 - Terminology and Naming Angles
1. Example and Definitions of a Point and Line
2. A Plane
3. Collinear Points Example and Definitions
4. Intersection Point and Concurrent Lines
5. Line segment example and Definition
6. Definition and example of a ray
7. Two rays to form an angle
8. Naming Angles
9. Parallel Lines
10. Perpendicular Lines
11. Markings on Geometric Figures
Day 2 - Classifying Angles
1. Acute Angles
2. Right Angles
3. Obtuse Angles
4. Straight Angles
5. Reflex Angle
6. Revolution Angle
Day 3 - Drawing and Measuring Angles
1. Measuring Angles with a protractor
2. Angle Guesser
3. Angle Creator - Sprinkler Question
Day 4 - Adjacent Angles
1. Adjacent Angles
Day 5 - Complementary and Supplementary Angles
1. Complementary Angles
2. Complementary Meaning?
3. Supplementary Angles
4. Supplementary Angles (Quick Exploration)
5. In summary...
6. How to do the practice
Day 6 - Angles in a Revolution
1. Simple Revolution
2. Three Ray Revolution - Angles at a point
3. How to do the practice
Day 7 - Vertically Opposite Angles
1. Vertically Opposite Angles
2. Perpendicular Lines
Day 8 - Constructing with Geogebra

Day 1 - Terminology and Naming Angles

1. Example and Definitions of a Point and Line
2. A Plane
3. Collinear Points Example and Definitions
4. Intersection Point and Concurrent Lines
5. Line segment example and Definition
6. Definition and example of a ray
7. Two rays to form an angle
8. Naming Angles
9. Parallel Lines
10. Perpendicular Lines
11. Markings on Geometric Figures

Example and Definitions of a Point and Line

Day 2 - Classifying Angles

Acute Angles

In the example, the angle formed is an acute angle. Acute angles are less than 90[math]^\circ[/math]. In this example, the angle can't get smaller than 5[math]^\circ[/math], but in reality, the angle can get much smaller. Slide the slider back and forth to see different examples of an acute angle.

2.2.

2.3.

2.4.

2.5.

2.6.

3.

Day 3 - Drawing and Measuring Angles

1. Measuring Angles with a protractor
2. Angle Guesser
3. Angle Creator - Sprinkler Question

3.1.

Measuring Angles with a protractor

Measuring Reflex Angles

More practice with Measuring Angles

3.2.

3.3.

4.

Day 4 - Adjacent Angles

1. Adjacent Angles

4.1.

Adjacent Angles

5.

Day 5 - Complementary and Supplementary Angles

1. Complementary Angles
2. Complementary Meaning?
3. Supplementary Angles
4. Supplementary Angles (Quick Exploration)
5. In summary...
6. How to do the practice

5.1.

Complementary Angles

Complementary Angles are adjacent angles that have a sum to 90[math]^\circ[/math]. Use the animation below to see Complementary angles in action! Notice that the two Complementary Angles always add to 90[math]^\circ[/math]. If the marking for the 90[math]^\circ[/math] is too distracting, you can remove it to make it easier to see the two complementary angles.

5.2.

5.3.

5.4.

5.5.

5.6.

6.

Day 6 - Angles in a Revolution

When more than two angles combine to form a revolution, it is also known as angles a point.

1. Simple Revolution
2. Three Ray Revolution - Angles at a point
3. How to do the practice

6.1.

Simple Revolution

When a revolution angle is formed the two angles add up to 360[math]^\circ[/math]. Drag the slider to test for this example.

6.2.

6.3.

7.

Day 7 - Vertically Opposite Angles

1. Vertically Opposite Angles
2. Perpendicular Lines

7.1.

Vertically Opposite Angles

Vertically opposite angles are formed when two lines intersect. The opposite angles are equal. The opposite angles must share a vertex and be in opposite positions across the vertex. Click "Animate!" to see this in action.

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