   Chapter 7.2, Problem 3E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

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

Note: Exercises preceded by an asterisk are of a more challenging nature.a) In the figure, are A B ,       ↔           C D , ↔ and         E F ↔ concurrent?b) Are C D , ↔         E F ↔ , and G H ↔           concurrent? To determine

(a)

To find:

In the figure, are AB,CD, and EF concurrent.

Explanation

Definition:

Concurrent:

A number of lines are concurrent if they have exactly one point in common.

Two or more lines in a plane that have a single point in common are known as concurrent lines. When exactly two lines have a point in common, we generally describe them as intersecting lines rather than concurrent lines.

Given:

Calculation:

By the above definition,

In given figure, the three lines are not concurrent even though any pair of lines (such as ABandCD) do intersect

To determine

(b)

To find:

In the figure, are CD,EF, and GH concurrent.

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