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Transcript
Geometry Formula Sheet LO 1.3 Angles on a straight line add up to 180o Angles at a point add up to 360o (Vertically) Opposite angles are equal. (Parallel lines) Alternate angles (Z angles) are equal. Corresponding angles (F angles) are equal. LO 1.4 The sum of the interior angles of a triangle is 180o. The sum of the interior angles of a quadrilateral is 360o. The sum of the exterior angles of any polygon is 360o. LO 1.6 Pythagoras’ Theorem h2 = a 2 + b 2 where h is the hypotenuse of a right angled triangle. LO 2.1 Area of a triangle = ½ base perpendicular height Area of a rectangle = length width Area of a parallelogram = length perpendicular height Area of a trapezium = ½ (a + b) h Area of a kite = ½ long diagonal short diagonal Area of a circle = π r2 Circumference of a circle = π d Diameter = 2 radius (or C = 2 π r ) LO 2.2 Volume of a cuboid = length depth height Volume of a prism = Area of cross-section length LO 3 Translation: described by a column vector x y Movement to the left / right Movement up / down Reflection: need a mirror line. Rotation: need the centre of rotation, angle of turn and direction of turn. Enlargement: need the centre of enlargement and the scale factor. LO 4.1 Bearings are measured from North in a clockwise direction. The “bearing of A from B” differs from the “bearing of B from A” by 180o.