Explanation The differences between similar triangles and congruent triangles is tabulated below. Similar triangles Congruent triangles Two triangles with the same shape but not necessarily the same size are said to be similar. Tw triangles with the same shape and the same size are called congruent triangles. The measure of corresponding angles are equal. These triangles will have same measure of corresponding angles. Their length of the corresponding sides are proportional to each other. The length of the corresponding sides of these triangles are equal. Example: Consider two similar triangles ABC and DEF as shown in Figure 1. Example: Consider two congruent triangles ABC and DEF as shown in Figure 2. From Figure 1, the following observations are made. The corresponding angles of ABC and DEF are: ∠ A and ∠ D , ∠ B and ∠ E , ∠ C and ∠ F . Their corresponding sides are proportional. That is, A B D E = A C D F = B C E F

5th Edition

ISBN: 9780321950970

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 8.7, Problem 49E

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The difference between similar triangles and congruent triangles.

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Chapter 8.7, Problem 48E

Chapter 8.7, Problem 51E

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Chapter 8 Solutions

Basic College Mathematics (5th Edition)

Ch. 8.1 - Prob. 1P Ch. 8.1 - Prob. 2P Ch. 8.1 - Classify each angle as acute, right, obtuse, or...Ch. 8.1 - Find the complement of a 29° angle. Ch. 8.1 - Find the supplement of a 67° angle. Ch. 8.1 - Prob. 6P Ch. 8.1 - Prob. 7P Ch. 8.1 - Prob. 8P Ch. 8.1 - Prob. 1VRV Ch. 8.1 - Prob. 2VRV

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