Geometry (Its all about lines!) Mr. J. McCarthy

AB AB Points A & B Line AB Line l l AB Line Segment [AB] [AB] AB Line Segment [AB] |AB| = 5cm 5cm AB C Triangle made up of [AB], [AC] and [BC] AB Half-Line or Ray [AB [AB AC B Collinear points A, B & C (All on same straight line)

B A C ∠ ABC ∠ CBA ∠B∠B 1 Complete Revolution 360° ∟ A right angle 90° A straight angle 180° Test – Numeracy Work out 3 – Topic 6 – Target 1 – Task 1 and 2

Types of angles Less than 90° Acute angle More than 90° and less than 180 ° Obtuse angle More than 180 ° Reflex angle Test – Numeracy Work out 3 – Topic 6 – Target 1 – Task 3, 4, 5 & 6

Clock angles

Calculating Angles AB A straight angle 180° ∠ A + ∠ B = 180° 130°B 130 ° + ∠ B = 180° A80° ∠ A + 80° = 180° ∠ B = 180° – 130° ∠ B = 50° ∠ A = 180° – 80° ∠ A = 100° 1 Complete Revolution 360° B 240° 240 ° + ∠ B = 360° ∠ B = 360° – 240° ∠ B = 120° B 170° 170° + 80° + ∠ B = 360° ∠ B = 360° – 170° – 80° ∠ B = 110° 80°

More Calculating Angles A 160° 90° + 40° + 160° + ∠ A = 360° ∠ A = 70° 40° 290° + ∠ A = 360° ∠ A = 360° - 290° B 55° + 30° + 60° + 75° + 105° + ∠ B = 360° ∠ B = 35° 60° 325° + ∠ B = 360° ∠ B = 360° - 325° 30° 55° 105° 75° Test – Numeracy Work out 3 – Topic 6 – Target 3 – Task 1 – 7 Then Target 2

Lines and Angles Vertically opposite angles are equal

Parallel Lines

Corresponding Angles

Corresponding Angles (F Angles)

Alternate Angles

A B C D 130° 70° 75° 125° 126° Which of these Green Lines are Parallel?

A straight angle 180° A 1 Complete Revolution 360° B C Vertically Opposite Angles are Equal D E Corresponding Angles are Equal Alternate Angles are Equal Angle Rules

A B C D Z X 58° V Y 62° W

A B C D Z X 58° V Y 62° W

Parallel and Perpendicular Lines a b cd e f g h a || b e ┴ f g ┴ h c || d