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Classifying Polygons

This article delves into the classification of polygons, focusing on triangles and quadrilaterals. Triangles can be categorized based on their angle measures as acute, obtuse, or right triangles, and by their sides as equilateral, isosceles, or scalene. In quadrilaterals, we explore four-sided shapes such as parallelograms (with both pairs of opposite sides parallel), trapezoids (with exactly one pair of parallel sides), rhombuses (with four congruent sides), and rectangles (with four right angles). Understanding these classifications is essential in geometry.

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Classifying Polygons

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  1. Classifying Polygons

  2. Triangles • Triangles are classified by their angle measures or by the number of congruent sides • Acute, Obtuse and Right • Equilateral, Isosceles, and Scalene

  3. Based on Angles 3 Acute Angles Obtuse ACUTE 1 Obtuse Angle Right 1 Right Angle

  4. Based on Sides Equilateral Isosceles Scalene

  5. Quadrilaterals Quadrilateral Four Sided Parallelogram Both pairs of opposite sides parallel Trapezoid Exactly one pair of parallel lines Rhombus Four congruent sides Rectangle Four right angles

  6. Contains the 4 right angles from the rectangle and four congruent sides of a rhombus

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