GEOMETRIC SHAPES

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GEOMETRIC SHAPES by Mind Map: GEOMETRIC SHAPES

1. General wording

1.1. Polygon

1.1.1. A Polygone is a CLOSED figure which has only STRAIGHT LINE SIDES and DOES NOT CROSS ITSELF

1.1.1.1. CLOSED figures

1.1.1.2. only STRAIGHT LINE SIDES

1.1.1.3. DOES NOT CROSS ITSELF

1.2. REGULAR POLYGON

1.2.1. A REGULAR POLYGON is a Polygon with all sides the same length and all angles the same size

1.2.1.1. Sides= same length

1.2.1.2. Angles = same size

1.2.1.3. EXAMPLES

1.2.1.3.1. Equilateral triangle

1.2.1.3.2. Square

1.2.1.3.3. REGULAR Pentagon

1.2.1.3.4. REGULAR Hexagon

1.2.1.4. Symbols (marking)

1.2.1.4.1. Equal sides?

1.2.1.4.2. Equal angles?

1.2.1.4.3. Parallel sides?

1.3. CIRCLE

1.3.1. Every point in a circle is the same distance from a fixed point called its centre A circle is a closed curve

1.3.1.1. EVERY POINT

1.3.1.2. Fixed point= CENTRE

1.3.1.3. SAME DISTANCE

1.3.2. Radius

1.3.2.1. a radius of a circle or sphere is any of the line segments from its center to its perimeter,

1.3.2.1.1. Line segment

1.3.2.1.2. Centre

1.3.2.1.3. Perimeter

1.3.3. Perimeter or Circumference

1.3.3.1. Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle.

1.3.3.1.1. Boundary

1.3.3.1.2. Measurement

1.4. Angles

1.4.1. Obtuse

1.4.1.1. type of angle that is always larger than 90° but less than 180 degrees

1.4.2. acute

1.4.2.1. measure less than 90 degrees

1.4.3. right

1.4.3.1. 90 degrees

1.4.4. reflex

1.4.4.1. greater than 180 degrees and less than 360 degrees.

1.4.5. straight

1.4.5.1. called 'flat angle" 180 degrees

2. Specific shape 1: TRIANGLEs

2.1. SCALENE

2.1.1. 3 sides have different length

2.2. ISOSCELES

2.2.1. 2 sides have same length

2.3. EQUILATERAL

2.3.1. 3 sides have same length-3 angles have same size

2.4. How to draw a triangle?

2.4.1. Set of information 1: (i) angle + (ii) length of 2 sides

2.4.1.1. Start with the angle

2.4.2. Set of information 2: length of 3 sides

2.4.2.1. Start with the base (longer side) then compass & ruler

2.5. A POLYGON with 3 sides

3. Specific shape 2: QUADRILATERALs

3.1. a POLYGON with 4 sides

3.1.1. Parallelogram

3.1.1.1. Both PAIRs of OPPOSITE sides are PARALLEL OPPOSITE sides are equal in length

3.1.1.1.1. PAIRs of OPPOSITE sides

3.1.1.1.2. Parallel

3.1.1.1.3. Equal in length

3.1.2. Rectangle

3.1.2.1. Parallelogram with right angled corners OPPOSITE sides equal in length

3.1.2.1.1. Parallelogram

3.1.2.1.2. RIGHT ANGLED corners

3.1.2.1.3. Equal in length (opposite sides)

3.1.3. Rhombus

3.1.3.1. Parallelogram with all 4 sides equal in length

3.1.3.1.1. Parallelogram

3.1.3.1.2. 4 sides

3.1.3.1.3. Equal in length

3.1.4. Square

3.1.4.1. A RECTANGLE with all 4 sides equal in length

3.1.4.1.1. RECTANGLE + RHOMBUS

3.1.4.1.2. RECTANGLE

3.1.4.1.3. Sides equal in length

3.1.4.1.4. Both pairs of Opposite sides parallel

3.1.5. Trapezium

3.1.5.1. A quadrilateral with ONE pair (only) of opposite sides PARALLEL

3.1.5.1.1. Pairs of OPPOSITE sides

3.1.5.1.2. Parallel

3.1.6. Kite

3.1.6.1. Two pairs of adjacent sides

3.1.6.1.1. Pairs of ADJACENT sides

3.1.6.1.2. Congruent - equal length