Geometry Types of angles How to draw an angle Angles around points

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Presentation transcript:

Geometry Types of angles How to draw an angle Angles around points Angles on straight lines Triangles Angles made using parallel lines

Measuring, classifying and drawing angles (3 letter names) H H B B ∠ ∠

Measuring, classifying and drawing angles H H K B B J ∠ ∠

Classifying angles A revolution (or perigon) measures 360° and is shown by the symbol . An acute angle measures less than 90°. A right angle measures 90° and is shown by the symbol .

Classifying angles An obtuse angle measures between 90° and 180°. A straight angle measures 180°. A reflex angle measures between 180° and 360°.

Name the angles and classify each angle Acute ∠ABC Reflex ∠CGH Acute ∠OMN Obtuse ∠NML

Drawing angles Draw an angle of 65° Start at o (use inside scale for this one)

Drawing angles Draw an angle of 145° Start at o (use inside scale for this one)

Drawing angles Draw an angle of 245° 245° - 180 ° = 65 °

Angle rules 1. Angles around a point sum to 360°. 2. Angles on a straight line sum to 180°.

Angle rules 3. Angles in a triangle sum to 180°. ? = 180° – 80° – 40° ? = 60°

Angle rules 4. Corresponding angles are equal. (Made with parallel lines) 4. Corresponding angles are equal.

Angle rules (Made with parallel lines) 5. Alternate angles are equal.

Angle rules (Made with parallel lines) 6. Allied angles sum to 180°.

Types of Triangle 2. Equilateral 1. Isoceles 4. Scalene 2 sides & 2 angles the same 3 sides & 3 angles the same 4. Scalene 3. Right angled No sides & no angles the same (but could be right angled!) (Could also be isoceles!)