   # In Exercises 9 to 28, use the drawings as needed to answer the following questions. Consider the figure for Exercise 27. Given that B is the midpoint of A C ¯ and C is the midpoint of B D ¯ , what can you conclude about the lengths of a) A B ¯ and C D ¯ ? c) A C ¯ and CD ¯ ? b) A C ¯ and B D ¯ ? Exercises 27, 28 ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085

#### Solutions

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

7th Edition
Alexander + 2 others
Publisher: Cengage,
ISBN: 9781337614085
Chapter 1.1, Problem 28E
Textbook Problem
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## In Exercises 9 to 28, use the drawings as needed to answer the following questions.Consider the figure for Exercise 27. Given that B is the midpoint of A C ¯ and C is the midpoint of B D ¯ , what can you conclude about the lengths of a) A B ¯   and   C D ¯ ? c) A C ¯   and   CD ¯ ? b) A C ¯   and   B D ¯ ? Exercises 27, 28

To determine

a)

To find:

The relation between the lengths of AB¯andCD¯.

### Explanation of Solution

Given:

The given figure is,

B is the midpoint of AC¯ and C is the midpoint of BD¯.

Approach:

Consider the given figure,

Figure (1)

Since B is the midpoint of AC¯.

AB¯=BC¯... (1)

And, C is the midpoint of BD¯

To determine

b)

To find:

The relation between the lengths of AC¯andBD¯.

To determine

c)

To find:

The relation between the lengths of AC¯andCD¯.

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