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Chapter 3: Q1 (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 are KC炉and DE炉along with this the theorem is Theorem 3-6.

Step by step solution

01

Step 1. Determine which theorem or postulate can be used

The theorem 3-6 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 same side are supplementary which means that their measurement will be equal to if they are added.

鈭�1+鈭�2+鈭�3+鈭�4=180掳

02

Step 2. Make an observation from the provided figure

The provided figure consists of only two angles 鈭�EDKand 鈭�DKCwhich are positioned and are supplementary because:

m鈭�EDK+m鈭�DKC=62+118

=180

03

Step 3. Make the conclusion

Using the theorem 3-6 determine the lines that are having a parallel relation between them.

KC炉DE炉

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Most popular questions from this chapter

Find the values of x and y that make the red lines parallel and the blue lines parallel.

Complete: If ED炉AC炉, EB炉DC炉, and m鈭�2=65, then m鈭�8 and m鈭�EDC .

In each exercise some information is given. Use this information to name the segments that must be parallel. If there are no such segments, say so.

m鈭�1=m鈭�8

A pair of same-side interior angles are trisected (divided into three congruent angles) by the red lines in the diagram. Find out what you can about the angles of ABCD.

Find the values of x,yand z
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