Geometry and Trigonometry

Worked examples (4)

• 1Find an angle in a triangle
• 2Parallel lines and transversal
• 3Exterior angle of a triangle
• 4Isosceles triangle

Worked examples (4)

• 1Sum of interior angles
• 2Interior angle of a regular polygon
• 3Find number of sides from interior angle
• 4Find missing angle in irregular polygon

Worked examples (5)

• 1Identify a congruence test
• 2Find a length using similarity
• 3Area scale factor
• 4Volume scale factor
• 5Prove triangles are similar

Worked examples (5)

• 1Area of a triangle
• 2Area of a trapezium
• 3Area and circumference of a circle
• 4Sector area and arc length
• 5Compound shape area

Worked examples (5)

• 1Volume of a cuboid
• 2Cylinder volume and surface area
• 3Cone volume and surface area
• 4Sphere
• 5Prism volume

Worked examples (4)

• 1Construct a perpendicular bisector
• 2Construct an angle bisector
• 3Locus equidistant from two points
• 4Locus equidistant from a line

Worked examples (5)

• 1Find the hypotenuse
• 2Find a missing leg
• 3Distance between two points
• 43D Pythagoras
• 5Pythagoras in an isosceles triangle

Worked examples (4)

• 1Find a side using SOH CAH TOA
• 2Find an angle
• 3Angle of elevation
• 4Exact trig values

Worked examples (3)

• 1Read a bearing
• 2Back bearing
• 3Bearing combined with trigonometry

Worked examples (5)

• 1Sine rule — find a side
• 2Sine rule — find an angle
• 3Cosine rule — find a side
• 4Cosine rule — find an angle
• 5Area of triangle — sine formula

Worked examples (3)

• 1Angle between long diagonal and base
• 2Angle in a pyramid
• 3Angle in a cone

Worked examples (5)

• 1Angle at centre = 2 × angle at circumference
• 2Angle in a semicircle
• 3Cyclic quadrilateral
• 4Tangent perpendicular to radius
• 5Alternate segment theorem