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Geometry

Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen

$Math Studyset Vaia Explanations$ Math

Student Edition · 227 pages

ISBN: 9780395977279

Chapter 3: Q10 (page 87)

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, write none.
$\bar{F C} ⊥ \bar{A E}$ and $\bar{F C} ⊥ \bar{A E}$

Short Answer

Expert verified

The required segments are $\bar{A E}$ and $\bar{B D}$ .

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

Theorem 3-4 can be used which states that if two lines which are having a parallel relation crossed by a separate line which makes a perpendicular relation with one of the line then that separate line will also make perpendicular relation with another parallel line.

02

Step 2. Relate the theorem with the provided information

The two parallel lines are AE and BD because the perpendicular line FC is related to both of the lines AE and BD.

03

Step 3. Make the conclusion

As the obtained lines AE and BD are according to the theorem then these are the required lines.

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