0˚90˚ 180˚ < acute < < obtuse < reflex complete turn 360˚ These words describe the kind of angle. right angle straight angle M May.

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Presentation transcript:

0˚90˚ 180˚ < acute < < obtuse < reflex complete turn 360˚ These words describe the kind of angle. right angle straight angle M May

Naming a pointA different points have different names B P Q R line is PQ S T SRT is the angle ^ ) or TRS ^ K L M KLM is a name for the triangle KLM is the angle ^ ) with vertex L M May

Angles of triangle add to 180˚ x o o Angles, which fit together to make a straight line, add to 180˚ x x x x Corresponding angles in parallel lines Vertically opposite angles are equal x x [ Z - shape ] [ F - shape ] Alternate angles in parallel lines x x M May

360˚ regular polygons 360 ÷ 5 = 72˚ 360 ÷ 6 = 60˚ 360 ÷ 10 = 36˚ pentagon hexagon 360 ÷ 8 = 45˚ 45˚ 72˚ 60˚ x x 360 A = π r 2 C = π d r M May

90˚ Angle in semicircle is 90˚ 90˚ Tangent meets radius at right angles. Right angled triangles Pythagoras’ theroem Soh Cah Toa M May

x x x o x x x x o o oo Remember to state the reasons why you know angles are equal : Corresponding angles F - shape Alternating angles Z - shape Vertically opposite X - shape straight angle180˚ 90˚ right angle Triangle angles add to 180˚ M May