Chapter 4.1, Problem 44E

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Chapter
Section

### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# To test the accuracy of the foundation’s measurements, lines (strings) are joined from opposite corners of the building’s foundation. How should the strings that are represented by A C - and B D - be related?

To determine

To find:

The relationship between the diagonals represented by AC- and BD-.

Explanation

Given:

Two streets meet to form an obtuse angle at point B. On that corner the newly poured foundation for a building takes the shape of a parallelogram.

Corollary:

The diagonals of a parallelogram bisect each other.

Approach:

In the given parallelogram ABCD, AC- and BD- are diagonals

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