Polygons

Polygons 1. Answer the following questions : a. Define a polygon. How is it different from a circle? b. How many sides does a polygon have? Give examples of polygons with different numbers of sides. c. What is the difference between regular and irregular polygons? Draw an example of each. d. Draw a triangle and a quadrilateral. Count the number of sides and angles in each. e. If a polygon has 12 sides, what is it called? f. A regular polygon has all its sides of the same length and all its angles of the same size. If a regular polygon has an interior angle of 120 degrees, how many sides does it have? g. Can a polygon have curved sides? Explain why or why not. h. Consider a heptagon (a polygon with 7 sides). If one angle measures 128 degrees, and all the other angles are equal, what would be the measure of each of the other angles? i. How many diagonals does a hexagon (6-sided polygon) have? Draw and count. j. What is a convex polygon? Draw an example. k. What is a concave polygon? How is it different from a convex polygon? Draw an example. 2. Fill in the blanks : a. A polygon is a closed figure with ______ straight sides. b. The _______ of a polygon is the total length of its boundary. c. A polygon with three sides is called a _______. d. A polygon with four sides is called a _______. e. A _______ is a polygon with all sides and angles of equal measure. f. A _______ is a five-sided polygon. g. A hexagon has _______ sides. h. An octagon has _______ sides. i. A polygon that has sides of different lengths is called an _______ polygon. j. A polygon with all interior angles less than 180 degrees is called a _______ polygon. 3. True or False: a. A polygon is a 2-dimensional figure. b. All sides of a polygon must be straight. c. A shape with curves can also be classified as a polygon. d. A triangle is considered a polygon. e. A circle is a type of polygon. f. A pentagon has 4 sides. g. The total sum of the interior angles of a quadrilateral is 360 degrees. h. The sum of the exterior angles of any polygon is always 360 degrees. i. A decagon has 12 sides. j. Polygons can only have sides of equal length. 4. Choose the correct option. I. What is a polygon? a) A shape with four sides b) A shape with three or more straight sides and angles c) A shape with curved sides d) A shape with two straight sides II. How many sides does a hexagon have? a) 5 b) 6 c) 7 d) 8 III. Which of the following is not a polygon? a) Square b) Circle c) Triangle d) Pentagon IV. A regular polygon is a polygon: a) That has all sides of the same length b) That has all angles of the same measure c) That has both sides and angles of the same measure d) That has different sides and angles V. A polygon with ten sides is called a: a) Hexagon b) Heptagon c) Decagon d) Nonagon VI. What do you call a polygon with all sides and all angles equal? a) Regular polygon b) Irregular polygon c) Convex polygon d) Concave polygon VII. A polygon with 12 sides is known as: a) Dodecagon b) Undecagon c) Decagon d) Nonagon VIII. In a regular octagon, each interior angle is: a) 90 degrees b) 135 degrees c) 108 degrees d) 120 degrees IX. The sum of the exterior angles of any polygon is: a) 90 degrees b) 180 degrees c) 270 degrees d) 360 degrees