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Parallelograms
Angles
Opposite angles of a parallelogram are equal
The interior angles add up to 360°
Reason:
(Opp angles of parm are equal)
Sides
Opposite sides of a parallelogram are parallel and equal
Reasons:
(Opp sides of parm are equal)
(Opp sides of parm are parallel)
Diagonals
The diagonal lines of a parallelogram bisect each other
Reason:
(Diags of parm bisect)

Acute-angled Triangle
All three interior angles are smaller than 90°

Obtuse-angled Triangle
The largest interior angle is greater than 90°
The other two angles are acute

Right-angled Triangle
The largest interior angle is equal to 90°
The other two angles are acute

Pythagoras Therom
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides
c² = a²+b²
c is the length of the hypotenuse (the side opposite the right angle)
a and b are the lengths of the other two sides

Scalene triangle
No sides or angles are equal

Isosceles Triangle
Two sides are equal and the angles opposite the equal sides are equal
Eg:
AB = AC if B1 = C1 (Sides opp equal angles)
B1 = C1 if AB = AC (Angles opp equal side)
Equilateral Triangle
Three sides are equal and the interior angles are equal to 60°
Triangles
The sum of the interior angles of a triangle is 180°
Eg. A1 + B1 + C2 = 180° (Int angles of a triangle)
The exterior angle of a triangle is equal to the sum of the two interior opposite angles
A1 + B1 = C1

Perimeter & Perimeter formulas
The perimeter of a shape is the total distance around its outer edges. It is found by adding the lengths of all the sides
Formulas:
Rectangles / Squares
Perimeter = Side + Side + Side + Side
Perimeter = Length + Width + Length + Width
Triangles
Perimeter = Side + Side + Side
Circles
Circumference = (Pi or 3.14) x Radius x 2
Circumference = (Pi or 3.14) x Diameter

Area & Area formulas
The area of a shape is the amount of space it covers inside its boundaries
Measured in square units (cm², m², etc)
Formulas:
Rectangles / Squares
Area = Length x Width
Parallelograms
Area = Base x Height
Triangles
Area = Base x Height / 2
Circles
Area = (Pi or 3.14)Radius²
