1. 1.4 Polygons

2. Polygon
Definition: A polygon is a closed figure in a plane, formed by connecting line segments endpoint to endpoint. Each segment intersects exactly two others.
Side
vertex

3. Polygons! Sides Name 3 Triangle 4 Quadrilateral 5 6 7 8 9 10 11 12 n
Pentagon
Hexagon
Heptagon
Octagon
Nonagon
Decagon
Undecagon
Dodecagon
n-gon

4. Diagonal
Definition: A diagonal of a polygon is a line segment that connects two non-consecutive vertices.

5. Convex vs. Concave
A polygon is convex if no diagonal is outside the polygon. A polygon is concave if at least one diagonal is outside the polygon.
Convex polygons
Concave polygons

6. Congruent Polygons
If polygons are congruent, then the corresponding sides and angles are congruent.
If the corresponding sides and angles are congruent, then the polygons are congruent.

7. Your task…
Create quality definitions for the three terms on page 56. Add them to your yellow definition pages.
When finished you may begin on today’s assignment: 1.4 #1-10, 12-18, 20-23

8. Equilateral Polygons Equiangular Polygons Regular Polygons
Polygons in which all sides have equal length.
Equiangular Polygons
Polygons in which all angles have equal measure.
Regular Polygons
Polygons that are both equilateral and equiangular.