POLYGONS Math Grade: 6 By: Stephanie Beers Forward

Click on each polygon to learn more! Triangle Quadrilateral Pentagon Hexagon HeptagonOctagonDecagonDodecagon What is a polygon? Polygons in real lifeTypes of polygonsPractice Test Question

Triangle 3 sides 3 angles Each angle and each side do not have to be congruent. (on specific triangles) Return to Main Page

Quadrilateral 4 sides 4 angles Each angle and each side do not have to be congruent. (On specific shapes) Return to Main Page

Pentagon 5 sides 5 angles Interior Angles of 108° Exterior Angles of 72° All sides are the same length (congruent) and all interior angles are the same size (congruent). Return to Main Page

Hexagon 6 sides 6 angles Interior Angles of 120° Exterior Angles of 60° All sides are the same length (congruent) and all interior angles are the same size (congruent). Return to Main Page

Heptagon 7 sides 7 angles Interior angles of ° Exterior Angles of ° All sides are the same length (congruent) and all interior angles are the same size (congruent). Return to Main Page

Octagon 8 sides 8 angles Interior Angles of 135° Exterior Angles of 45° All sides are the same length (congruent) and all interior angles are the same size (congruent). Return to Main Page

Decagon 10 sides 10 angles Interior angles of 144° Exterior Angles of 36° All sides are the same length (congruent) and all interior angles are the same size (congruent). Return to Main Page

Dodecagon 12 sides 12 angles Interior angles of 150° Exterior Angles of 30° All sides are the same length (congruent) and all interior angles are the same size (congruent). Return to Main Page

What is a polygon? A plane figure with at least three straight sides and angles, and typically five or more. 2-dimensional shapes Straight lines, and the shape is "closed" (all the lines connect up). Return to Main Page

Types of polygons: Simple or Complex A simple polygon has only one boundary, and it doesn't cross over itself. A complex polygon intersects itself! Many rules about polygons don't work when it is complex. Click here to see Regular or Irregular polygons!Click here to see Concave or Convex polygons! Return to Main Page

Types of polygons: Regular or Irregular If all angles are equal and all sides are equal, then it is regular, otherwise it is irregular. Click here to see Concave or Convex polygons!Click here to see Simple or Complex polygons! Return to Main Page

Types of polygons: Concave or Convex A convex polygon has no angles pointing inwards. Other words, no internal angle can be more than 180°. If any internal angle is greater than 180° then the polygon is concave. (Think: concave has a "cave" in it). Click here to see Simple or Complex polygons!Click here to see Regular or Irregular polygons! Return to Main Page

Polygons in Real Life Return to Main Page

Multiple Choice Question Draw a diagonal from B to D. Line BC measures 12m and line AB measure 4m. What is the area of right triangle ABD? A. 16 m^2 16 m^2 B. 48 m^2 48 m^2 C. 24 m^2 24 m^2 D. 32 m^2 32 m^2 Return to Main Page

Correct Answer! Finished!

Wrong Answer To find the area of a right triangle you must use the formula: Return to Question

End of Lesson! Return to Main PageReturn to Title Slide