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Chapter 3: Q10 (page 86)

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�APL+m鈭�PAR=180

Short Answer

Expert verified

The required segments are PL炉and AR炉.

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 180掳if they are added.

02

Step 2. Make an observation from the provided figure

The provided figure consists of only two angles 鈭�APLand 鈭�PARalong with this according to the provided measurement these angles are positioned on the same side and are supplementary because the provided measurement satisfies the theorem.

03

Step 3. Make the conclusion

Using the theorem 3-6 determine the lines that are having a parallel relation between them. These lines are related to the provided angles.

PL炉AR炉

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Most popular questions from this chapter

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

and

Complete each statement with the word always, sometimes, or never.

Lines in two parallel planes are ?parallel to each other.

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

If m鈭�5=m鈭�6+20, find m鈭�1

Alan tried to prove Postulate 10 as shown below. However, he did not have valid proof. Explain why not.

If two parallel lines are cut by a transversal, then corresponding angles are congruent.

Given k鈭�l; transversal tcuts kand I

Prove: 鈭�1鈮�鈭�2

Statement

Reason

1.k鈭�l

Given

2.鈭�3鈮�鈭�2

If two parallel lines are cut by transversal then alt. int. 鈭�sare鈮�

3.鈭�1鈮�鈭�3

Vert. 鈭�sare鈮�

4.鈭�1鈮�鈭�2

Transitive Property
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