Understanding angles and their properties for year 7forms the... Show more
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11
1
Olamide
02/08/2023
Maths
Year 7 Module 8 - Angles
422
•
2 Aug 2023
•
Awesome Year 7 Guide: Angles, Triangles, and Polygons Made Easy
Olamide
@olamide_26
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
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Page 2: Triangles, Quadrilaterals, and Polygons
This page explores triangle properties, polygon classifications, and methods for calculating interior angles in various shapes.
Definition: A polygon is a 2D shape with straight edges only, and it's considered regular when all sides and angles are equal.
Highlight: Triangle interior angles always sum to 180°, while quadrilateral interior angles sum to 360°.
Example: Triangle types include:
- Right-angled triangles (one 90° angle)
- Isosceles triangles (two equal sides and angles)
- Equilateral triangles (all sides and angles equal)
- Scalene triangles (all sides and angles different)
Vocabulary: Polygon names are based on their number of sides:
- Pentagon (5 sides)
- Hexagon (6 sides)
- Heptagon/Septagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides)
- Decagon (10 sides)
Page 3: Quadrilateral Properties
This page details the properties of various quadrilaterals, including squares, rectangles, rhombuses, parallelograms, kites, and trapeziums.
Definition: Each quadrilateral type has unique properties related to:
- Side lengths
- Angle measurements
- Parallel sides
- Diagonal relationships
- Symmetry
- Rotational properties
Example: A square has:
- Four equal sides
- Four right angles
- Opposite sides parallel
- Diagonals bisecting at right angles
- Four lines of symmetry
- Rotational symmetry of order four
Highlight: The properties of special quadrilaterals build upon each other, with squares having the most properties and trapeziums having the least.
Page 4: Scale, Bearings, and Pythagoras' Theorem
This page covers practical applications of geometry, including scale drawings, bearings, and the Pythagorean theorem.
Definition: Scale represents the ratio between model dimensions and actual dimensions, while map scale shows the ratio between map distances and real-life distances.
Vocabulary: Bearings are measured clockwise from North and must be expressed in three digits.
Example: Pythagoras' theorem states that a² + b² = c² in right-angled triangles, where:
- a and b are the shorter sides
- c is the hypotenuse (longest side)
Highlight: The compass direction acronym "Never Eat Shredded Wheat" helps remember the clockwise order: North, East, South, West.
Page 1: Basic Angle Concepts and Parallel Lines
This page introduces fundamental angle concepts and their properties. The content begins with basic angle classifications and notation methods, progressing to more complex angle relationships.
Definition: Angles are classified into four main types based on their measurements: acute (<90°), right (90°), obtuse (>90° but <180°), and reflex (>180° but <360°).
Vocabulary: Angle notation can use either single lowercase letters (e.g., 'a' or 'x') or three uppercase letters (e.g., BAC).
Highlight: Angles around a point sum to 360°, while angles on a straight line sum to 180°.
Example: Parallel line relationships include:
- Vertically opposite angles are equal
- Alternate angles are equal
- Corresponding angles are equal
- Co-interior angles sum to 180°
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The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
Awesome Year 7 Guide: Angles, Triangles, and Polygons Made Easy
Olamide
@olamide_26
Understanding angles and their properties for year 7 forms the foundation of geometry education, covering essential concepts from basic angle types to complex polygon properties.
• The module comprehensively covers angle types (acute, right, obtuse, reflex) and their measurements
•... Show more
Page 2: Triangles, Quadrilaterals, and Polygons
This page explores triangle properties, polygon classifications, and methods for calculating interior angles in various shapes.
Definition: A polygon is a 2D shape with straight edges only, and it's considered regular when all sides and angles are equal.
Highlight: Triangle interior angles always sum to 180°, while quadrilateral interior angles sum to 360°.
Example: Triangle types include:
- Right-angled triangles (one 90° angle)
- Isosceles triangles (two equal sides and angles)
- Equilateral triangles (all sides and angles equal)
- Scalene triangles (all sides and angles different)
Vocabulary: Polygon names are based on their number of sides:
- Pentagon (5 sides)
- Hexagon (6 sides)
- Heptagon/Septagon (7 sides)
- Octagon (8 sides)
- Nonagon (9 sides)
- Decagon (10 sides)
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
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Page 3: Quadrilateral Properties
This page details the properties of various quadrilaterals, including squares, rectangles, rhombuses, parallelograms, kites, and trapeziums.
Definition: Each quadrilateral type has unique properties related to:
- Side lengths
- Angle measurements
- Parallel sides
- Diagonal relationships
- Symmetry
- Rotational properties
Example: A square has:
- Four equal sides
- Four right angles
- Opposite sides parallel
- Diagonals bisecting at right angles
- Four lines of symmetry
- Rotational symmetry of order four
Highlight: The properties of special quadrilaterals build upon each other, with squares having the most properties and trapeziums having the least.
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Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 4: Scale, Bearings, and Pythagoras' Theorem
This page covers practical applications of geometry, including scale drawings, bearings, and the Pythagorean theorem.
Definition: Scale represents the ratio between model dimensions and actual dimensions, while map scale shows the ratio between map distances and real-life distances.
Vocabulary: Bearings are measured clockwise from North and must be expressed in three digits.
Example: Pythagoras' theorem states that a² + b² = c² in right-angled triangles, where:
- a and b are the shorter sides
- c is the hypotenuse (longest side)
Highlight: The compass direction acronym "Never Eat Shredded Wheat" helps remember the clockwise order: North, East, South, West.
Sign up to see the contentIt's free!
Access to all documents
Improve your grades
Join milions of students
By signing up you accept Terms of Service and Privacy Policy
Page 1: Basic Angle Concepts and Parallel Lines
This page introduces fundamental angle concepts and their properties. The content begins with basic angle classifications and notation methods, progressing to more complex angle relationships.
Definition: Angles are classified into four main types based on their measurements: acute (<90°), right (90°), obtuse (>90° but <180°), and reflex (>180° but <360°).
Vocabulary: Angle notation can use either single lowercase letters (e.g., 'a' or 'x') or three uppercase letters (e.g., BAC).
Highlight: Angles around a point sum to 360°, while angles on a straight line sum to 180°.
Example: Parallel line relationships include:
- Vertically opposite angles are equal
- Alternate angles are equal
- Corresponding angles are equal
- Co-interior angles sum to 180°
We thought you’d never ask...
What is the Knowunity AI companion?
Our AI Companion is a student-focused AI tool that offers more than just answers. Built on millions of Knowunity resources, it provides relevant information, personalised study plans, quizzes, and content directly in the chat, adapting to your individual learning journey.
Where can I download the Knowunity app?
You can download the app from Google Play Store and Apple App Store.
Is Knowunity really free of charge?
That's right! Enjoy free access to study content, connect with fellow students, and get instant help – all at your fingertips.
Smart Tools NEW
Transform this note into: ✓ 50+ Practice Questions ✓ Interactive Flashcards ✓ Full Mock Exam ✓ Essay Outlines
Mock Exam
Quiz
Flashcards
Essay
Can't find what you're looking for? Explore other subjects.
Students love us — and so will you.
4.9/5
App Store
4.8/5
Google Play
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user
The app is very easy to use and well designed. I have found everything I was looking for so far and have been able to learn a lot from the presentations! I will definitely use the app for a class assignment! And of course it also helps a lot as an inspiration.
Stefan S
iOS user
This app is really great. There are so many study notes and help [...]. My problem subject is French, for example, and the app has so many options for help. Thanks to this app, I have improved my French. I would recommend it to anyone.
Samantha Klich
Android user
Wow, I am really amazed. I just tried the app because I've seen it advertised many times and was absolutely stunned. This app is THE HELP you want for school and above all, it offers so many things, such as workouts and fact sheets, which have been VERY helpful to me personally.
Anna
iOS user
Best app on earth! no words because it’s too good
Thomas R
iOS user
Just amazing. Let's me revise 10x better, this app is a quick 10/10. I highly recommend it to anyone. I can watch and search for notes. I can save them in the subject folder. I can revise it any time when I come back. If you haven't tried this app, you're really missing out.
Basil
Android user
This app has made me feel so much more confident in my exam prep, not only through boosting my own self confidence through the features that allow you to connect with others and feel less alone, but also through the way the app itself is centred around making you feel better. It is easy to navigate, fun to use, and helpful to anyone struggling in absolutely any way.
David K
iOS user
The app's just great! All I have to do is enter the topic in the search bar and I get the response real fast. I don't have to watch 10 YouTube videos to understand something, so I'm saving my time. Highly recommended!
Sudenaz Ocak
Android user
In school I was really bad at maths but thanks to the app, I am doing better now. I am so grateful that you made the app.
Greenlight Bonnie
Android user
very reliable app to help and grow your ideas of Maths, English and other related topics in your works. please use this app if your struggling in areas, this app is key for that. wish I'd of done a review before. and it's also free so don't worry about that.
Rohan U
Android user
I know a lot of apps use fake accounts to boost their reviews but this app deserves it all. Originally I was getting 4 in my English exams and this time I got a grade 7. I didn’t even know about this app three days until the exam and it has helped A LOT. Please actually trust me and use it as I’m sure you too will see developments.
Xander S
iOS user
THE QUIZES AND FLASHCARDS ARE SO USEFUL AND I LOVE THE SCHOOLGPT. IT ALSO IS LITREALLY LIKE CHATGPT BUT SMARTER!! HELPED ME WITH MY MASCARA PROBLEMS TOO!! AS WELL AS MY REAL SUBJECTS ! DUHHH 😍😁😲🤑💗✨🎀😮
Elisha
iOS user
This apps acc the goat. I find revision so boring but this app makes it so easy to organize it all and then you can ask the freeeee ai to test yourself so good and you can easily upload your own stuff. highly recommend as someone taking mocks now
Paul T
iOS user