Happy Thursday! Do Now: Recall that a complete rotation around a point is 360°. Find the angle measure represented by each letter (x, y, and z).

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Presentation transcript:

Happy Thursday! Do Now: Recall that a complete rotation around a point is 360°. Find the angle measure represented by each letter (x, y, and z).

What is a Polygon? Polygon: “A closed figure in a plane, formed by connecting line segments endpoint to endpoint with each segment intersecting exactly two others.” Each line segment id called a side of the polygon Each endpoint where the sides meet is called a vertex of the polygon.

Names of Polygons Sides Name 3 Triangle 4 Quadrilateral 5 Pentagon 6 Hexagon 7 Heptagon 8 Octagon 9 Nonagon 10 Decagon 11 Undecagon 12 Dodecagon n n-gon Polygons are classified by the number of sides it has:

Naming Polygons To name a polygon, start at any vertex, and list the vertices in consecutive order: Observe the special notation for triangles (why?)

Consecutive Things Consecutive Angles: Angles that share a common side. Consecutive Vertices: Vertices that share a common side Consecutive Sides: Sides that share a common vertex.

Diagonals A diagonal of a polygon is a line segment that connects two nonconsecutive vertices. Convex Polygons Concave Polygons A polygon is convex if no diagonal is outside the polygon A polygon is concave if at least one diagonal is outside the polygon

“Equi” Polygons Equilateral Polygon: Equiangular Polygon: All sides have equal length. Equiangular Polygon: All angles have equal measurements Regular Polygon: Polygon that is both equilateral and equiangular

Practice Draw the odd regular polygons from 3 to 11!

Review (Quiz Tomorrow!) Name a pair of complementary angles and a pair of vertical angle in the figure to the left. Is it possible for four lines in a plane to intersect in exactly zero points? 1 pt? 2 pts? 3 pts? 4 pts? 5 pts? 6 pts? Draw sketches to support your answers.

Review (Quiz Tomorrow!)