1. GEOMETRY – DO NOW DRAW EACH FIGURE Name each polygon based on the number of sides: a) b) c)

2. Geometry – Do Now a) Name each polygon based on the number of sides. b) Tell whether the shape is concave or convex. *use your notes 1. 2. 3.

3. Geometry – Do Now a) Name each polygon by its number of sides. b) Then classify as convex or concave and regular or irregular. 1. 2. 3. 4.

4. GEOMETRY – Do Now a) Name each polygon based on the number of sides. b) Tell whether the shape is concave or convex. 1. 2. 3.3. 4. 5. 6.

5. SUBMIT Notes: Pg 45 vocabulary + key concept box Pg 46 polygon chart + key concept box Assn: Pg 48 #1-24 (all – draw the figures)

6. Section 1.6

8. Vocabulary A polygon is a closed two-dimensional shape with straight sides.

9. Vocabulary A polygon is convex if no line that contains a side of the polygon contains a point in the interior of the polygon. A polygon that is not convex is called concave.

10. Vocabulary In an equilateral polygon, all sides are congruent. In an equiangular polygon, all angles in the interior of the polygon are congruent. A regular polygon is a convex polygon that is both equilateral and equiangular.

11. Polygon Chart 3 sidesTriangle 4 sidesQuadrilateral 5 sidesPentagon 6 sidesHexagon 7 sidesHeptagon 8 sidesOctagon 9 sidesNonagon 10 sidesDecagon 11 sidesUndecagon 12 sidesDodecagon n sidesn-gon

12. The term n-gon, where n is the number of a polygon’s sides, can also be used to name a polygon. - A polygon with 14 sides is a 14-gon

13. EXAMPLE 1 Identify polygons SOLUTION Tell whether the figure is a polygon and whether it is convex or concave. Some segments intersect more than two segments, so it is not a polygon. a. b. The figure is a convex polygon. d. The figure is a concave polygon. Part of the figure is not a segment, so it is not a polygon. c. b.c.a.d.

14. EXAMPLE 3 Find side lengths SOLUTION First, write and solve an equation to find the value of x. Use the fact that the sides of a regular hexagon are congruent. Write equation. Subtract 3x from each side. Add 2 to each side. 3x + 6 4x – 2 = 6 = x – 2 8 = x A table is shaped like a regular hexagon.The expressions shown represent side lengths of the hexagonal table. Find the length of a side. ALGEBRA

15. Assignment Textbook Notes: Pg 45 vocabulary + key concept box Pg 46 polygon chart + key concept box Assn: Pg 48 #1-24 (all – draw the figures) ^^ DUE NOW ^^ DUE NOW ^^ DUE NOW ^^ Worksheet Assn: 1.6 Wksh Polygon Wksh Polygon Analyze Wksh

16. Distance Formula What is the distance formula? Why do we use the distance formula?

17. Distance Formula Used to find the distance between two points

18. Example Find the distance between A(4,8) and B(1,12) A (4, 8)B (1, 12)

19. Distance Formula TRY THESE! Find the distance between: a) C(5,9) and D(0,10) b) E (1, 4) and F (-1, 6) c) G (-5, -3) and H (7, -5) d) J (-8, 11) and K (-2, 7) e) L (-8, -9) and M (-4, -13)

20. EXAMPLE 2 Classify polygons SOLUTION Classify the polygon by the number of sides. Tell whether the polygon is equilateral, equiangular, or regular. Explain your reasoning. a.b. The polygon has 6 sides. It is equilateral and equiangular, so it is a regular hexagon. a. The polygon has 4 sides, so it is a quadrilateral. It is not equilateral or equiangular, so it is not regular. b.