Answer No, two similar polygons may not be congruent. Explanation Given information :Polygons are similar A polygon refers to a flat or plane, two-dimensional closed shape that has straight sides. Two polygons are similar if it satisfies both of the following conditions: 1. Corresponding sides of two polygons are in same proportion 2. Corresponding angles of two polygons are equal. Two polygons are congruent if it satisfies the following two conditions: 1. Corresponding sides of two polygons are equal 2. Corresponding angles of two polygons are equal. So, if the two polygons are similar then corresponding sides of two polygons are in same proportion but necessarily equal. Therefore, Two similar polygons may or may not congruent. No, two similar polygons may not be congruent.

McDougal Littell Jurgensen Geometry: Student Edition Geometry

5th Edition

ISBN: 9780395977279

Author: Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

Publisher: Houghton Mifflin Company College Division

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Question

Chapter 7.3, Problem 7CE

To determine

To find: whether polygons are congruent if they are similar

Expert Solution & Answer

Answer to Problem 7CE

No, two similar polygons may not be congruent.

Explanation of Solution

Given information:Polygons are similar

A polygon refers to a flat or plane, two-dimensional closed shape that has straight sides.

Two polygons are similar if it satisfies both of the following conditions:

1. Corresponding sides of two polygons are in same proportion

2. Corresponding angles of two polygons are equal.

Two polygons are congruent if it satisfies the following two conditions:

1. Corresponding sides of two polygons are equal

2. Corresponding angles of two polygons are equal.

So, if the two polygons are similar then corresponding sides of two polygons are in same proportion but necessarily equal.

Therefore,

Two similar polygons may or may not congruent.

No, two similar polygons may not be congruent.

Chapter 7.3, Problem 6CE

Chapter 7.3, Problem 8CE

Chapter 7 Solutions

McDougal Littell Jurgensen Geometry: Student Edition Geometry

Ch. 7.1 - Prob. 1CE Ch. 7.1 - Prob. 2CE Ch. 7.1 - Prob. 3CE Ch. 7.1 - Prob. 4CE Ch. 7.1 - Prob. 5CE Ch. 7.1 - Prob. 6CE Ch. 7.1 - Prob. 7CE Ch. 7.1 - Prob. 8CE Ch. 7.1 - Prob. 9CE Ch. 7.1 - Prob. 10CE

Ch. 7.1 - Prob. 11CE Ch. 7.1 - Prob. 12CE Ch. 7.1 - Prob. 13CE Ch. 7.1 - Prob. 14CE Ch. 7.1 - Prob. 15CE Ch. 7.1 - Prob. 16CE Ch. 7.1 - Prob. 17CE Ch. 7.1 - Prob. 18CE Ch. 7.1 - Prob. 1WE Ch. 7.1 - Prob. 2WE Ch. 7.1 - Prob. 3WE Ch. 7.1 - Prob. 4WE Ch. 7.1 - Prob. 5WE Ch. 7.1 - Prob. 6WE Ch. 7.1 - Prob. 7WE Ch. 7.1 - Prob. 8WE Ch. 7.1 - Prob. 9WE Ch. 7.1 - Prob. 10WE Ch. 7.1 - Prob. 11WE Ch. 7.1 - Prob. 12WE Ch. 7.1 - Prob. 13WE Ch. 7.1 - Prob. 14WE Ch. 7.1 - Prob. 15WE Ch. 7.1 - Prob. 16WE Ch. 7.1 - Prob. 17WE Ch. 7.1 - Prob. 18WE Ch. 7.1 - Prob. 19WE Ch. 7.1 - Prob. 20WE Ch. 7.1 - Prob. 21WE Ch. 7.1 - Prob. 22WE Ch. 7.1 - Prob. 23WE Ch. 7.1 - Prob. 24WE Ch. 7.1 - Prob. 25WE Ch. 7.1 - Prob. 26WE Ch. 7.1 - Prob. 27WE Ch. 7.1 - Prob. 28WE Ch. 7.1 - Prob. 29WE Ch. 7.1 - Prob. 30WE Ch. 7.1 - Prob. 31WE Ch. 7.1 - Prob. 32WE Ch. 7.1 - Prob. 33WE Ch. 7.1 - Prob. 34WE Ch. 7.1 - Prob. 35WE Ch. 7.1 - Prob. 36WE Ch. 7.2 - Prob. 1CE Ch. 7.2 - Prob. 2CE Ch. 7.2 - Prob. 3CE Ch. 7.2 - Prob. 4CE Ch. 7.2 - 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