![]() ![]() Textbook Authors: Charles, Randall I. Will review the submission and either publish your submission or provide feedback. Geometry: Common Core (15th Edition) answers to Chapter 7 - Similarity - 7-2 Similar Polygons - Practice and Problem-Solving Exercises - 37 including work step by step written by community members like you. You can help us out by revising, improving and updatingĪfter you claim an answer you’ll have 24 hours to send in a draft. Now, let's set up the proportion to find $z$:ĭivide each side by $2$ to solve for $z$: Now, let's set up the proportion to find $y$:ĭivide each side by $2$ to solve for $y$: Ifso, writeasimilaritystatementandgivethescalefactor. NPOM TQRS P Q Determinewhetherthepolygonsaresimilar. Get rid of the fractions by using the cross products property to multiply the numerator of one fraction with the denominator of the other fraction, and vice versa:ĭivide each side by $3$ to solve for $x$: Practice7-2 SimilarPolygons FormG List thepairsofcongruent anglesandtheextendedproportionthat relatesthecorrespondingsidesfor thesimilarpolygons. Let's set up the proportion to find $x$ first: Now we can use this scale factor to set up proportions for the other sides to find the values of $x$, $y$, and $z$. We are given definite values for similar sides in the two quadrilaterals, so let us find the scale factor for the two quadrilaterals:ĭivide both the numerator and denominator by their greatest common factor, $3$, to simplify: Check that the ratios of corresponding sides are equal. Write a proportion with all three pairs of corresponding side lengths. Write the ratios of the corresponding sides in a statement of proportionality. Two polygons are similar if and only if their corresponding angles are. Key Words similar polygons scale factor 7.2 Similar Polygons TPRQ STSTU. If these two quadrilaterals are similar, we would expect the sides to be similar. 7.2 Similar Polygons 365 Goal Identify similar polygons. ![]() Similar polygons have congruent angles and proportional sides. ![]()
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