Exploring.  Figures can be identified, described, compared and classified in different ways.

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Exploring Polygons.

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Presentation transcript:

Exploring

 Figures can be identified, described, compared and classified in different ways.

 Polygons are many-sided figures, with sides that are line segments. Polygons are named according to the number of sides and angles they have.  Can be “regular” – all sides and all angles are equal to each other

 Two sides of equal length  Three acute angles  Sum of angles = 180°

 All sides equal length  Three acute angles  Sum of angles = 180°  Is a regular polygon

 No sides are equal  No angles are equal  May have obtuse angle  Sum of angles = 180 °

 Opposite sides are parallel  Opposite side are equal in length  Each angle equals 90°  Sum of angles = 360°

 All sides equal  All angles equal and are 90 ° each  Sum of angles = 360 °  Is a regular polygon

 Two sides are parallel  Has obtuse and acute angles  Sometimes has a right angle  Sum of angles = 360 °

 All four sides of equal length  Opposite angles are equal – 2 acute angles, 2 obtuse angles  Sum of angles = 360 °  Can be a regular polygon

 Opposite sides parallel  Opposite sides equal in length  Opposite angles equal  Sum of angles = 360 °

 5 sides  Sum of angles = 540 °  Regular polygon

 6 sides  Sum of angles = 720 °  Can be regular polygon

 8 sides  Sum of angles = 1080 °  Can be regular polygon

 10 sides  Sum of angles = 1440°  Can be regular polygon

RegularIrregularTriangleAcute Angle QuadrilateralPentagonsHexagonsRight angle Parallel sidesEqual sidesReflex angleObtuse angle Convex polygonConcave polygon

 Each of these polygons has all angles less than 180 degrees. These are convex polygons

 Each of these polygons has at least one reflex angle (greater than 180 degrees). These are concave polygons.

RegularIrregularTriangleAcute Angle QuadrilateralPentagonsHexagonsRight angle Parallel sidesEqual sidesReflex angleObtuse angle Convex polygonConcave polygon

RegularIrregularTriangleAcute Angle QuadrilateralPentagonsHexagonsRight angle Parallel sidesEqual sidesReflex angleObtuse angle Convex polygonConcave polygon

1. Read pages Complete q’s 1, 2 on pg 88.