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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

Copy what is shown for Theorem 3-3 on page 79. Then write a proof in two-column form.

Name the two lines and the transversal that form each pair of angles.

and

Use two lines of notebook paper as parallel lines and draw any

transversal. Use a protractor to measure

Measure one pair of same side interior angles. Repeat the experiment with another transversal. What appears to be true?

Find the values of xand y

If m鈭�1=130what are the measures of the other numbered angels?
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