 # Polygons Not Polygons.

## Presentation on theme: "Polygons Not Polygons."— Presentation transcript:

Polygons Not Polygons

What is the definition of a polygon?
Answer A closed flat  figure with at least  three straight  sides

What is the definition of a quadrilateral?
Answer A polygon with  four sides

Parallelograms Not Parallelograms

What is the definition of a parallelogram?

Rectangles Not Rectangles

What is the definition of a rectangle?
Answer A quadrilateral  with four right  angles and two  pairs of parallel  sides

Square Not Squares

What is the definition of a square?
Answer A quadrilateral  with four right  angles, two pairs  of parallel sides,  and all sides equal

Rhombus Not Rhombus

What is the definition of a rhombus?
Answer A quadrilateral  with two pairs of  parallel sides and  all sides equal

Trapezoids Not Trapezoids

What is the definition of a Trapezoid?

What is the definition of a regular polygon?
Answer A polygon with all  sides and angles  congruent What is the definition of  a regular polygon? What do we call a regular triangle? Equilateral triangle What do we call a regular quadrilateral? Square

Classify each quadrilateral in as many ways as  possible by dragging the terms and placing them  on top of the shape. Terms may be used more  than once. trapezoid quadrilateral trapezoid square quadrilateral square rhombus quadrilateral rhombus parallelogram parallelogram parallelogram quadrilateral rectangle rectangle rhombus rectangle quadrilateral parallelogram

A polygon is convex if any two interior points can be connected  with a segment that lies completely with in the polygon. A polygon is concave if any two interior points cannot be  connected with a segment that lies completely with in the polygon. B.) Draw an example of a concave polygon A.) Draw and example of a convex polygon.

The sum of the angles of a quadrilateral is 360 .
Sum of the Interior Angles of a Quadrilateral If you draw a diagonal of a quadrilateral, you will get two triangles. 1.) Use this information to find the sum of the interior angles of a  quadrilateral. The sum of the angles of a quadrilateral is

Write an equation to find the value of x and then find the value of each missing angle.
xo (2x + 1)o