Explore the concept of similar polygons, where shapes look alike but vary in size, and practice calculating the side lengths of hexagons. Complete Section 7.3 assignments online at BCMath.ca.
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SIMILAR POLYGONS Two polygons are similar if they look the same but have different sizes One can be bigger than the other, but all the lengths must be proportional Ex: Given the following shapes, indicate which ones are similar polygons: The two circles are similar The two squares are similar
Two shapes are similar if all corresponding angles are equal and all corresponding sides are equal in RATIO!! The top angles are equal y v a b The left angles are equal The right angles are equal c e w x The bottom angles that correspond are equal d z a v= b= c= w d= z e y x Note: All squares & circles are similar to each other because corresponding sides are always in ratio
EX: GIVENTHEDIMENSIONSOFTHELARGER HEXAGON, FINDTHELENGTHOFEACHSIDE: 10 v 5 6 3.5 8 y x 9 6 6 z 10 6 10 z 10 5 = 8 = 10y = 48 x = z = Now suppose the 5 became 6 = 6 3.5 3.5 = = 6 z = 2 2 6 12 v v 10 10 6 v 10 5 = 5 = 10x = 45 x = x = = 6 = 10 10 5 6 10x = 54 10 10 9 9 9 9 z = y y 8 = 3.5 7 v = 35 = 6v 5.833 = 6 6 2 2 x x x x 10 10 10 5 =8 y = 2 2 y 4 4.8 v 4.5 5.4
