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Chapter 3: Q2 (page 86)

State which segments (if any) are parallel. State the postulate or theorem that justifies your answer.

Short Answer

Expert verified

The required segments areOX炉andIZ炉 along with this the postulate is Postulate 11.

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 OI炉travels through the lines OX and IZ.

03

Step 3. Make the conclusion

Using the postulate 11 determine the measurement of angles related to the lines OI, OX and IZ.

m鈭�POX=m鈭�POW+m鈭�WOX

=50+30

=80

m鈭�OIZ=m鈭�OIY+m鈭�YIZ

=52+28

=80

The obtained measurement for both the angles is the same which means that thse angles are also congruent so according to the postulate 11 the lines OX and IZ are having a relation that is parallel.

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