1. Polygons, Triangles and Quadrilaterals
Objective: Students will be able to define and identify types of 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
name
sides
sum of interior angles
measure of each interior angle if regular polygon
sum of exterior angles
measure of each exterior angle if a regular poygon
number of diagonals
Triangles 3
180 60
360
120
Quadrilateral 4 90 2
Pentagon 5
540
108 72
Hexagon 6
720 9
Heptagon 7
900 14
Octagon 8
1080
135 45 20
Nonagon
1260
140 40 27
Decagon 10
1440
144 36 35
Undecagon 11
1620 44
Dodecagon 12
1800
150 30 54
N-agon N
180(n-3)
sum/n
360/n
n(n-3)/2
name
sides
sum of interior angles
measure of each interior angle if regular polygon
sum of exterior angles
measure of each exterior angle if a regular poygon
number of diagonals
Triangles
Quadrilateral
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Undecagon
Dodecagon
N-agon

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 when we use the type of angles and number of congruent sides 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. Rhombus Square Trapezoid Kite
All properties of a parallelogram and all sides congruent
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. Objective: Students will be able to define and identify types of polygons, triangles and quadrilaterals. On a scale of 1 to 4 Do you feel we meet the objective for the day. If we did not meet the objective, what did we miss and how could I improve.

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