8.5 Classifying Polygons.

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Presentation transcript:

8.5 Classifying Polygons

Understanding Polygons and Regular Polygons Polygon - A closed figure with at least 3 sides. Regular Polygon - Polygon with ALL sides congruent and ALL angles congruent. Polygons Regular Polygons # of sides Name Drawing Drawing Name Acute Equilateral 3 Triangle 4 Quadrilateral Square Regular Pentagon 5 Pentagon Regular Hexagon 6 Hexagon

Classifying Triangles Name Acute - All angles less than 90 . Right - Only One angle equal to 90 . Obtuse - Only One angle more than 90 . Side Name - All three sides equal. Equilateral Isosceles - Two sides equal. Scalene - No equal sides.

Angles of a Triangle Every triangle has angles whose sum equals 180 . a b c Solve for x. x

Classifying Quadrilaterals

Quadrilateral A closed figure with four sides that are line segments Parallelogram A quadrilateral with two sets of parallel sides Rectangle A quadrilateral with two sets of parallel sides and four right angles Square A quadrilateral with two sets of parallel sides, four right angles, and all sides congruent Rhombus A quadrilateral with two sets of parallel sides and all sides congruent Trapezoid A quadrilateral with only one set of parallel sides Isosceles Trapezoid A quadrilateral with only one set of parallel sides and a pair of nonparallel sides congruent Kite A quadrilateral with no parallel sides, but with two pairs of sides congruent

Understanding Quadrilaterals A quadrilateral… With TWO pairs of parallel lines With ONE pair of parallel lines With ZERO pairs of parallel lines …and two pairs of congruent sides …and a pair of non-parallel sides congruent …and four right angles …and all sides congruent …and all sides congruent

Homework Page 457 (9-26) all