Classifying Polygons
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The document discusses classifying different types of polygons based on their angles and sides. It defines polygons as closed plane figures with at least three sides that meet at endpoints. Triangles are classified as acute, right, or obtuse based on their angles, and as isosceles, equilateral, or scalene based on their sides. Quadrilaterals like trapezoids, parallelograms, rhombuses, rectangles, and squares are classified based on whether their opposite sides are parallel and if their angles are right angles. Regular polygons have all congruent sides and angles.
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Classifying Polygons
- 2. Polygons Polygons- a closed plane figure with at least three sides and the sides meet at their endpoints. Some examples:
- 3. Triangles, classifying by angles Acute Triangle Right Triangle Obtuse Triangle Has three acute angles Has one right angle Has one obtuse angle
- 4. Triangles, classifying by sides Isosceles Triangle Equilateral Triangle Scalene Triangle All three sides are congruent Two of the sides are congruent No sides are congruent
- 5. Example 1 Classify the triangle by it sides and angles. 8 in 8 in Isosceles right triangle Equilateral acute triangle
- 6. You try some now Classify each triangle by its sides and angles. Scalene right triangle Isosceles obtuse triangle Scalene obtuse triangle
- 7. Classifying Quadrilaterals Trapezoid Exactly one pair of parallel sides Parallelogram Both pairs of Opposite sides parallel Rhombus Four congruent sides Rectangle Four 90 angles Square Four 90 angles and Four congruent sides Quadrilateral Shape with four sides
- 8. Example 2 Name the types of quadrilaterals that have both pairs of opposite sides parallel. All parallelograms. Parallelograms include rectangles, rhombuses and squares.
- 9. Now your turn Name the types of quadrilaterals that have four right angles. Name the types of quadrilaterals that have at least one pair of parallel sides. Rectangles and squares Parallelograms, rectangles, rhombuses, squares, and trapezoids.
- 10. Regular polygon Regular polygon- has all sides congruent and all angles congruent. Some examples: Triangle Square Pentagon Hexagon Octagon