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Angles and Shapes - Coggle Diagram
Angles and Shapes
Parallel line angle rules
Corresponding angles are equal
Alternate angles are equal
Co-interior angles equal to 180°
Vertically opposite angles are equal
Sides above 4
All angles sum to
(n-2) x 180
n = number of sides
Pentagon
Regular
Irregular
Hexagon
Regular
Irregular
Heptagon
Regular
Irregular
Octagon
Regular
Irregular
One angle
((n-2) x 180) ÷ n
n = number of sides
Exterior and interior
Exterior and interior angles sum to 180°
All exterior angles sum to 360°
2D Shapes
Polygon
A closed shape that has a finite amount of slides, all straight
Triangles
All angles sum to 180°
Equilateral triangle
All angles are equal
60°
All sides are equal
Isosceles triangle
Two angles are equal
Two sides are the same
Right angled triangle
Pythagoras theorem
a² + b² = c²
One angle is always 90°
Area
Base x height ÷ 2
Quadrilaterals
All angles sum to 360°
Square
All sides are equal
All angles are 90°
Opposite sides are parallel
Area
length x width
Rectangles
All angles are 90°
Opposite sides are equal
Opposite sides are parallel
Area
Length x Width
Parallelogram
Opposite sides are parallel
Opposite angles are equal
Opposite sides are equal
Area
Base x perpendicular height
Rhombus
All sides are equal
Opposite sides are parallel
Opposite angles are equal
Area
Diagonal x diagonal ÷ 2
Trapezium
One pair of parallel sides
0.5 x (a + b) x perpendicular height
Kite
Two pairs of equal sides
One pair of equal angles
Area
Convert it into two triangles
3D Shapes
