Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole
ISBN 10: 9781285195698
ISBN 13: 978-1-28519-569-8

Chapter 8 - Section 8.1 - Area and Initial Postulates - Exercises - Page 348: 1

Answer

Two triangles with equal areas are not necessarily congruent. Two squares with equal areas must be congruent because the sides are congruent.

Work Step by Step

Given, Two triangles are having same areas, we need to find that the triangles are congruent or not. Two triangles are not congruent, if two triangles having same areas than it is not necessarily that they are congruent. Given, two square having same area, we need to find that the square are congruent or not. Yes, two square having same area are congruent because the sides are congruent.
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