Chapter 3.1, Problem 6E

### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

Chapter
Section

### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that?

To determine

The postulate for the given information.

Explanation

By SAS definition, triangles will be congruent if two corresponding sides and their included angle are congruent in both triangles.

Approach:

Draw two equal right angle triangles as shown below.

Suppose BCÂ¯â‰…B'C'Â¯ and AB

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