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Foundations of Math 11 Chapter 2 – Angles & Triangles Notes Booklet Homework Assignments (Nelson Foundations of Mathematics 11 Workbook) Chapter 2 Properties of Angles and Triangles Section Topic 2.1 2.2 2.3 2.4 Review Exploring Parallel Lines Angles Formed by Parallel Lines Angle Properties in Triangles Angle Properties in Polygons Assignment P38: P42: P47: P51: 1-6 and P40: 1-5 1-2, 4, 6acd, 7-10, 12-13 1-2, 4-5, 7, 8a, 9-12 1-7, 9-11 FOM11 2.1 Exploring Parallel Lines Geometry Review: Different kinds of triangles/quadrilaterals: Symbols: Similar shapes / Congruent shapes: Parallel Line rules and terms: FOM11 2.2 Notes: Angles Formed by Parallel Lines Setting up a two-column proof in Geometry Ex1 Given that CAE, EBD and ECA are 25º, 70º, and 115º respectively, prove that BE and DE are the same length. B C E A D Parallel Line theorems: Other useful and common theorems: Ex2 Given: BID 36 , HFD 63 , EF AB , and EF CD . Prove that EFD is isosceles E G A H C F I B D FOM11 2.3 Notes: Angle Properties in Triangles FOM11 2.4 Notes: Angle Properties in Polygons Sum of the interior angles Ex1 A polygon has 9 sides. What is the sum of the interior angles? Ex2 The sum of the interior angles of a polygon is 1800°. How many sides does the polygon have? Measure of each interior angle in a regular polygon Ex1 What is the measure of the interior angle in a regular octagon? Ex2 A regular polygon has interior angles measuring 108°. How many sides does the polygon have? Exterior angles Tessellation