The ratio of the lengths of corresponding sides B C ¯ b c bar and Y Z ¯, y z bar, comma or more simply stated, the ratio of corresponding sides, is B C Y Z = 20 8 = 5 2. Find the scale factor of the given pairs of similar polygons. fraction eh d, over g j end fraction is an extended proportion.Ī scale factor is the ratio of corresponding linear measurements of two similar figures. The proportion A B G H = B C H I = C D I J = A D G J fraction eh b, over g h end fraction.
When three or more ratios are equal, you can write an extended proportion. You write a similarity statement with corresponding vertices in order, just as you write a congruence statement. ∠ A ≅ ∠ G angle, eh approximately equal to, angle g ∠ B ≅ ∠ H angle, b approximately equal to, angle h ∠ C ≅ ∠ I angle, c approximately equal to, angle i ∠ D ≅ ∠ J angle, d approximately equal to, angle j A B G H = B C H I = C D I J = A D G J fraction eh b, over g h end fraction. ISBN 10: 0133281159 ISBN 13: 978-0-13328-115-6 Chapter 7 - Similarity - 7-2 Similar Polygons - Lesson Check - : 2 Answer side JT Work Step by Step The answer is side JT because the statement states that JDRT is similar to WHYX and the problem states RT/YX ( )/WX. Two polygons are similar polygons if corresponding angles are congruent and if the lengths of corresponding sides are proportional.Ī B C D ∼ G H I J eh b c d tilde operator g h i j NPOM TQRS P Q Determinewhetherthepolygonsaresimilar. By definition, similar polygons have equal corresponding angles, making (K) the. Take note Key Concept: Similar Polygons Define Practice7-2 SimilarPolygons FormG List thepairsofcongruent anglesandtheextendedproportionthat relatesthecorrespondingsidesfor thesimilarpolygons. 8 Practice Tests + Content Review + Strategies The Princeton Review.
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