6-2 Similar Polygons NOTES called the scale factor.
6-2 Similar Polygons NOTES called the scale factor.
6-2 Similar Polygons NOTES called the scale factor.
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6-2 <strong>Similar</strong> <strong>Polygons</strong> <strong>NOTES</strong>Two polygons are similar if <strong>the</strong> following 2 conditions are true.The symbol ~ means "is similar to"Are each pair of polygons similar? Why or why not?E 9 r12EH 15 GX 3 YR 5 UW 5 ZIf two polygons are similar, <strong>the</strong>n <strong>the</strong> ratio of <strong>the</strong> lengths of <strong>the</strong> corresponding sides is<strong>called</strong> <strong>the</strong> <strong>scale</strong> <strong>factor</strong>.In example #1above, <strong>the</strong> common ratio of 3/1 is <strong>the</strong> <strong>scale</strong> <strong>factor</strong> of EFGH to XYZW.
The polygons in each pair ~re similar. Find <strong>the</strong> value of each variable.1(XyqOUse <strong>the</strong> similar figures at <strong>the</strong> right to answer <strong>the</strong> following.7) Find <strong>the</strong> <strong>scale</strong>’<strong>factor</strong> of ABCD to PQRS.18) Find <strong>the</strong> length of ~-~. i~9) Find <strong>the</strong> perimeter of each figure and find <strong>the</strong> ratio of<strong>the</strong> perimeters of ABCD to PQRS. 5/~Make a conclusion about <strong>the</strong> <strong>scale</strong> <strong>factor</strong> of <strong>the</strong> sidesof <strong>the</strong> polygons and <strong>the</strong> ratio of <strong>the</strong>ir perimeters.P I~ QS 23 R