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Packages and Polygons

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<strong>Polygons</strong><br />

C<br />

a<br />

c<br />

b<br />

d<br />

Susanne must find lids for these<br />

cartons. Use Student Activity<br />

Sheet 5 to cut out the lids Suzanne<br />

selected.<br />

6. Reflect Compare the four<br />

lids. How are the polygons the<br />

same? How are they different?<br />

The lid for carton D is a special type<br />

of polygon; it is a regular polygon.<br />

7. What do you think makes<br />

polygon D “regular”?<br />

8. In how many different ways<br />

can Suzanne place the lid on<br />

each of the cartons A to D?<br />

Figure A<br />

Four Equal Angles<br />

Figure B<br />

9. The two quadrilaterals at the<br />

left are not regular polygons.<br />

a. What is irregular (not<br />

regular) about Figure A?<br />

b. What is irregular about<br />

Figure B?<br />

c. In how many ways can<br />

Figure A be folded in half<br />

so that it fits onto itself?<br />

Figure B?<br />

Four Equal Sides<br />

10. a. Draw a quadrilateral that can be folded in half in four<br />

different ways.<br />

b. What is the name of this quadrilateral?<br />

c. Is the quadrilateral you drew in part a regular?<br />

Why or why not?<br />

Section C: <strong>Polygons</strong> 25

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