Equilateral Triangle Size of a Right Angle Acute Angle Size of an angle in an Equilateral Triangle 60 ° Angles at a point add up to this Parallel Lines 90°360° Isoceles Triangle Vertically Opposite Angles y x Angle Facts Game Write down the Coordinates of the Matching Pairs of Facts Example (1,4) and (4, 4) = Acute Angle and Coordinates (1,4) & (4,4) (2,4) & (1,3) (3,4) & (2,2) (2,3) & (3,3) (4,3) & (3,2) (1,2) & (4,2) (1,1) & (3,1) (2,1) & (4,1)
Lesson Objective: To revise Angle Facts relating to Angles on a Line, Angles at a point, Angles in a triangle, Vertically Opposite Angles and Angles between Parallel Lines
ab ANY Angles that are drawn on a straight Line will ALWAYS add up to 180° 130 ° b 50° What is angle b? 35° 145° b b99 ° 81° Now – try to draw some of your own examples…
Angles at a Point always add up to a bc 360° a 130 ° 110 ° What is the size of Angle a ? 120° a 140 ° 70 ° a 145 ° 150° 125° 60 ° 120 ° a 60° Now – try to draw some of your own examples…
When 2 lines cross they form TWO pairs of angles opposite each other that are the same size a b c d So a = and b = c d What are the sizes of Angles c and d ? c d 120 ° 60 ° 75 ° 105 ° c d 130 ° c d 50 ° 120 ° 60 ° 105 ° 75 ° 130 ° 50 ° Now – try to draw some of your own examples…
Angles in a Triangle always add up to 180 ° 65°55° 60° What is the size of Angle c ? c c c 35° 75° 70° 55° 35° Now – try to draw some of your own examples…
If we draw an intersecting line crossing the Parallel lines, several types of angles are formed. Alternate Angles - Z angles Corresponding Angles - F angles Supplementary Angles - C angles a a c c s s These Angles are These Angles add up to e q u a l 180° Lesson Objective: To revise Angle Facts relating to Angles between Parallel Lines c c s s
Alternate Angles - Z angles a a What is the size of Angle a ? a 70° a 87° a 134° Lesson Objective: To revise Angle Facts relating to Angles between Parallel Lines 70° 87° 134°
Corresponding Angles - F angles c c c c What is the size of Angle c ? 140° 115° 140° 115° Lesson Objective: To revise Angle Facts relating to Angles between Parallel Lines
Supplementary Angles - C angles s s What is the size of Angle s ? s s120° 75° Lesson Objective: To revise Angle Facts relating to Angles between Parallel Lines 60 ° 105 °
180 DIAT 180 DIASL 360 DAAP CAAE SAAUT 180 D VOAAE AAAE 180 Degrees In A Triangle 180 Degrees In A Straight Line Alternate Angles Are Equal Vertically Opposite Angles Are Equal Corresponding Angles Are Equal 360 Degrees At A Point Supplementary Angles Add Up To 180 Degrees