Polygon review and puzzlers
ÆReview to the classification of polygons:
Is it a Polygon? Polygons are 2-dimensional shapes. They are made of straight lines, and the shape is "closed" (all the lines connect up).
Polygon Not a Polygon Not a Polygon (straight sides) (has a curve) (open, not closed)
Regular polygons have equal length sides and equal interior angles. Polygons are named according to their number of sides.
Name of Degree of Degree of triangle total angles regular angles
Triangle 180 60 In the above, those are names to the polygons: Quadrilateral 360 90 fill in the blank parts. Pentagon
Hexagon
Heptagon 900 129 Names: number of sides: Octagon Nonagon hendecagon, 11 dodecagon, ______Decagon 1440 144 tetradecagon, 13 hexadecagon, 15 Do you see a pattern in the calculation of the heptadecagon, ______total degree of angles of the polygon? octadecagon, ______--- (n -2) x 180° enneadecagon, ______icosagon 20 pentadecagon, ______
These summation of angles rules, also apply to the irregular polygons, try it out yourself !!!
A point where two or more straight lines meet. Corner.
Example: a corner of a polygon (2D) or of a polyhedron (3D) as shown. The plural of vertex is "vertices”
Test them out yourself, by drawing diagonals on the polygons.
Here are some fun polygon riddles; could you come up with the answer?
Geometry polygon riddles I: My first is in shape and also in space; My second is in line and also in place; My third is in point and also in line; My fourth in operation but not in sign; My fifth is in angle but not in degree; My sixth is in glide but not symmetry;
Geometry polygon riddles II: I am a polygon all my angles have the same measure all my five sides have the same measure, what general shape am I?
Geometry polygon riddles III: I am a polygon. I have two right angles. I have only one pair or parallel sides. What shape am I?
Geometry polygon riddles IV: I am a polygon. I have angles that are almost 180 degrees. What shape am I?
Geometry polygon riddles V: A polygon with four sides. Each line is the same not more. Each angle is right. Can you guess with all your might?
Now you know what is polygon, see if you can apply the knowledge:
How many triangle of different size are there on the left?
______
How many equal lateral quadrilaterals of different size are there on the left?
Here is a fun puzzle you can solve by apply the these knowledge previously mentioned on the worksheet, try to decode the message!!!
---- Work purchased from Roxanne Eckenrode @ lulu.com