   Chapter 2.2, Problem 19E ### Elementary Geometry for College St...

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

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

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

# In Exercise 19 and 20, state a conclusion for the argument.Statements 1 and 2 are true. 1. If the areas of two triangles are not equal, then the two triangles are not congruent. 2. Triangle A B C is congruent to triangle D E F . C . ∴ ?

To determine

To find:

The conclusion C.

Explanation

Given:

(1) If the areas of two triangles are not equal, then the two triangles are not congruent.

(2) Triangle ABC is congruent to triangle DEF.

Approach:

The first given statement is,

If the areas of two triangles are not equal, then the two triangles are not congruent.

Consider the above statement in the contrapositive form QP.

P: Two triangles are congruent.

Q: The triangles have same areas

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