8-1.3 Similar Polygons

8-1.3 Similar Polygons - __ __ __ 12in 36in 126in 42in The...

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8.3 Similar Polygons Pg 473
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Similar polygons Similar polygons- 2 polygons that have 2245 corresponding s and proportional corresponding side lengths. A B C D W X Y Z ZW DA YZ CD XY BC WX AB = = = ABCD~WXYZ
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Trapezoid ABCD~ Trapezoid WXYZ. List all the pairs of 2245 s and a statement of proportionality of the ratios of the corresponding sides A 2245 ∠ W B 2245 ∠ X C 2245 ∠ Y D 2245 ∠ Z A B C D W X ZW DA YZ CD XY BC WX AB = = =
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Example decide whether the Δs are ~. A B C X Z Y _ 4 7 12 12 21 36 ) )) Yes, because all corresponding s are 2245 and there is a ratio of 1:3 between all pairs of corresponding sides.
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Example cont. L M P Q R 10.5 18 12 12 4 9 Not ~ because not all the corresponding s are 2245 ( )
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Scale Factor Scale factor- the ratio of the lengths of 2 corresponding sides of ~ polygons.
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Unformatted text preview: __ __ __ 12in 36in 126in 42in The 2 pics are ~, what is the scale factor b/t the 2? 7 2 enlargement painting Example cont. What would the ratios of the perimeters be? 2(12)+2(36)=96 2(42)+2(126)=336 7 2 336 96 = in in Thm 8.1 If 2 polygons are ~ then the ratio of their perimeters is = to the ratio of their corresponding lengths Ratio of perimeters = scale factor Example: parallelogram ABCD ~ parallelogram GBEF. Find the value of y and the ratio of the perimeters. B G E F C Y 12 15 y 12 24 15 = 15y=288 y=19.2 Ratio of Perimeters = 5/8 Assignment Assignment...
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8-1.3 Similar Polygons - __ __ __ 12in 36in 126in 42in The...

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