WAM 10 Ch 5: Angles & Parallel Lines Extra Notes Handout Page 10 Review of Prior Knowledge Perpendicular Lines form a 900 angle The sum of angles in a triangle are always 1800 Angles that create a straight line total 1800 Example 2: Find x and y in the following diagram Example 3: 5 2 Assignment : WORKBOOK
The diagram shows three parallel lines and another line that crosses the parallel lines Find the angles marked a, b, c and d
Lesson 12: Angles Associated with Parallel Lines Student Outcomes Students know that corresponding angles, alternate interior angles, and alternate exterior angles of parallel lines are equal Students know that when these pairs of angles are equal, then lines are parallel
ANGLES: PARALLEL LINES Materials required for examination Items included with question papers Ruler graduated in centimetres and Nil millimetres, protractor, compasses, pen, HB pencil, eraser Tracing paper may be used Instructions Use black ink or ball-point pen
The two parallel lines LM and NP are intersected by the line RS The arrows pointing to the same direction indicate that the lines are parallel (i) The corresponding angles are equal a = e b = f c = g d = h (ii) The alternate angles are equal c = e d = f (iii) The sum of two allied angles is 180o c + f = 180o d + e = 180o
Special angles and Parallel Lines Day 2 notebook 4 September 20, 2011 If two parallel lines are cut by a transversal, then the following pairs of angles are congruent
Sec 2 1 Geometry – Parallel Lines and Angles Name: PARALLEL LINES 1 Give an alternate name for angle ∡ Û using 3 points: (1 answer) 2 Angles ∡ m n q and ∡ o n s can best be described as: (2 answers) 3 Angles ∡ ß and ∡ Ü can best be described as: (2 answers) 4
x+75 = 180 Angles on a straight line x = 105 To find y: y = 85 Vertically opposite angles 2 Angles in parallel lines (7–9) When a line passes through a pair of parallel lines, this line is called a transversal: 2