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Chapter 3: Q3 (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.

m∠1≅m∠8=90

Short Answer

Expert verified

The required segments areAB¯andFC¯.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The postulate 11 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 that are corresponding will be congruent .

02

Step 2. Observe the provided figure

A separate line AE¯travels through the lines AB and FC.

03

Step 3. Make the conclusion

According to the postulate 11 the measurement of angles related to the lines OI, OX and IZ is already given.

The provided measurement for both the angles is the same which means that these angles are also congruent so according to the postulate 11 the lines AB and FC are having a relation that is parallel.

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