Math Problem Statement

Pentagon JKLMN is similar to pentagon ABCDE .

What is the length of BC¯¯¯¯¯¯¯¯ in centimeters? A.10 cm B.12 cm C.20 cm D.21 cm

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Similarity of Polygons
Proportionality of Sides

Formulas

Ratio of corresponding sides in similar polygons: \( \frac{a_1}{a_2} = \frac{b_1}{b_2} \)
Proportion formula for solving unknown side lengths: \( \frac{JK}{AB} = \frac{BC}{BC} \)

Theorems

Similarity Theorem
Proportionality Theorem in Similar Figures

Suitable Grade Level

Grades 8-10