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Polygons

Polygons. Triangles and Quadrilaterals. What is a polygon?. Closed figure. At least 3 sides. Line segments are sides. Sides meet is call a vertex. More Polygon Terms. Diagonal – connects two non consecutive vertices Concave – at least one diagonal outside polygon, dented in

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Polygons

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  1. Polygons Triangles and Quadrilaterals

  2. What is a polygon? Closed figure At least 3 sides Line segments are sides Sides meet is call a vertex

  3. More Polygon Terms Diagonal – connects two non consecutive vertices Concave – at least one diagonal outside polygon, dented in Convex – no diagonals outside polygon Perimeter – distance around polygon Area – space polygon covers up

  4. Define these types of Polygons pg 56 All the sides of the polygon are congruent Equilateral Equiangular Regular All the interior angles of the polygon are congruent All sides are congruent and all angles are congruent

  5. Types and prop of polygons

  6. Triangles – define the following pg 60 Right Acute Obtuse Has only one right angle In some case why can it have only one of that type of angle? All 3 angles are acute angles Triangles interior angles add up to 180 and has 3 angles, if it had 2 right angles it is already at 180 and if it had 2 obtuse angles it would be over 180 Has only one obtuse angle Notice the names of all these triangles deal with the type(s) of angle the triangle has

  7. More triangles pg 61 Scalene Isosceles Equilateral No sides congruent 2 congruent sides, also has two congruent base angles All sides are congruent Notice all these triangles are named based on sides congruent When naming a triangle you need to use both the name for type of angle and number of congruent sides

  8. Classify vs Naming Classify is what we use the angles and sides for Naming we use the vertices of the triangle Naming Polygons you need to go in order of vertices – either clockwise or counter clockwise, you can not skip over a vertex Consecutive vertices means one right after the other

  9. Congruent Polygons Polygons can be congruent but corresponding parts need to be congruent Corresponding – same location in the two polygons Congruent angles and sides Congruency Statement – name the polygons congruent in the correct order of congruent vertices

  10. Examples Naming and Congruency Statements

  11. Quadrilaterals define and list properties pg 64 Parallelogram Rectangle 2 pairs of parallel sides Opposite sides congruent Opposite angles congruent Consecutive angles supplementary Diagonals All properties of a parallelogram and All angles 90 degrees

  12. All properties of a parallelogram and all sides congruent Rhombus Square Trapezoid Kite All properties of a parallelogram and all sides congruent and all angles 90 degrees 1 pair of parallel sides, there are 3 types we will discuss later 2 pairs of congruent consecutive sides, 1 pair of congruent angles

  13. Quadrilaterals We will go into more depth with these shapes and come up with some additional properties as well

  14. Homework Due by end of class Wkst Aliens Wkst Airlines In your notes Pg 57 15,16,17 Pg 63 15 and 16 Pg 66 9 and 10

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