6.2 Similar Polygons What you’ll learn: To identify similar figures. To solve problems involving scale factors
Similar Polygons Similar polygons have the same shape (angles) but are different sizes (side lengths) Two polygons are similar iff their corresponding angles are congruent and the measures of their corresponding sides are proportional. Symbol ~ Statement ABC~DEF means that AD, BD, CF and
Scale Factor The scale factor between 2 similar figures is a ratio between 2 corresponding sides. To find a scale factor, find 2 corresponding sides and write as a ratio. Reduce if necessary.
Determine whether each pair of figures is similar. Justify your answer. 1. no – angles are the same 2. K L M R Q P 40 50 A B C R S T 80 60 40 5.2 7 8 3.9 5.25 6
The 2 polygons are similar. B C D E R S T U V 4 y+1 6 x 8 Write a similarity statement. b. Find the scale factor of polygon ABCDE to polygon RSTUV
Rectangle WXYZ is similar to rectangle PQRS with a scale factor of 1.5. If the length and width of PQRS are 10 meters and 4 meters, respectively, what are the length and width of rectangle WXYZ.
Homework p.293, 12-46 even