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Chapter 3: Q4 (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.

∠5≅∠9

Short Answer

Expert verified

The required segments are FB¯and EC¯.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The theorem 3-5 can be used which states that the relation between two lines is parallel only when a separate line travels through these two lines and the angles which are positioned on the alternate interior side represents the congruent angles.

02

Step 2. Make an observation from the provided figure

The provided figure consists of two lines FB¯and EC¯and the separate line that travels through these lines is FC¯. Use the relation between provided angles and make an equation that represents another relation.

m∠5=m∠9

03

Step 3. Make the conclusion

Using the theorem 3-5 determine the lines that are having a parallel relation between them.

FB¯EC¯

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