Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole
ISBN 10: 1439047901
ISBN 13: 978-1-43904-790-3

Chapter 3 - Section 3.1 - Congruent Triangles - Exercises: 5

Answer

LL is just a special case of postulate SAS.

Work Step by Step

Each of two right triangles has an angle of $90^{\circ}$. Therefore, for any of two right triangles, they already have a congruent pair of $90^{\circ}$ angles. Therefore, if two right triangles $\triangle A$ and $\triangle B$ also have congruent pairs of legs, they now have 2 congruent sides and a congruent included angle, which is the congruent pair of $90^{\circ}$ angles. So, these two right triangles would be congruent with each other according to postuale SAS. In conclusion, LL is just a special case of postulate SAS.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.