Awesome Year 7 Guide: Angles, Triangles, and Polygons Made Easy

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Olamide

02/08/2023

Maths

Year 7 Module 8 - Angles

Subjects

Maths

Geometry and measure

Angles, lines and polygons

Awesome Year 7 Guide: Angles, Triangles, and Polygons Made Easy

Name: Knowunity
Brand: Knowunity

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
• Special attention is given to identifying different types of triangles with examples, including right-angled, isosceles, and equilateral triangles
• Students learn about parallel line angles, including corresponding, alternate, and co-interior angles
• The content extends to calculating interior angles in polygons for beginners and understanding regular polygon properties
• Advanced concepts include quadrilateral properties, scale measurements, and Pythagoras' theorem

...

02/08/2023

406

Year 7
Module 8 - Angles
Topic/Skill
1. Types of
Angles
2. Angle
Notation
3. Angles at a
Point
4. Angles on a
Straight Line
5. Opposite
Angl

View

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 $10 sides$

View

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.

View

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.

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Subjects

Maths

Geometry and measure

Angles, lines and polygons

Maths

•

406

•

2 Aug 2023

•

4 pages

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

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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 $10 sides$

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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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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.

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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 $Z-pattern$
Corresponding angles are equal $F-pattern$
Co-interior angles sum to 180° $C-pattern$

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Samantha Klich

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Anna

iOS user

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Thomas R

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Basil

Android user

David K

iOS user

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

Rohan U

Android user

Xander S

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Elisha

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Paul T

iOS user

Awesome Year 7 Guide: Angles, Triangles, and Polygons Made Easy

Page 2: Triangles, Quadrilaterals, and Polygons

Page 3: Quadrilateral Properties

Page 4: Scale, Bearings, and Pythagoras' Theorem

Similar content

Can't find what you're looking for? Explore other subjects.

Knowunity is the #1 education app in five European countries

Knowunity has been named a featured story on Apple and has regularly topped the app store charts in the education category in Germany, Italy, Poland, Switzerland, and the United Kingdom. Join Knowunity today and help millions of students around the world.

4.9+

21 M

#1

950 K+

Still not convinced? See what other students are saying...

I love this app so much, I also use it daily. I recommend Knowunity to everyone!!! I went from a D to an A with it :D

The app is very simple and well designed. So far I have always found everything I was looking for :D

I love this app ❤️ I actually use it every time I study.

Awesome Year 7 Guide: Angles, Triangles, and Polygons Made Easy

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Page 2: Triangles, Quadrilaterals, and Polygons

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Page 3: Quadrilateral Properties

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Page 4: Scale, Bearings, and Pythagoras' Theorem

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Page 1: Basic Angle Concepts and Parallel Lines

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