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Chapter 3: Q1 (page 89)

Two lines that do not intersect are parallel.

Short Answer

Expert verified

The blank should be filled with sometimes.

Step by step solution

01

Step 1. Determine the possibilities

The provided statement does not represent a true statement in all the cases.

02

Step 2. Analyze the possibility

Some lines do not intersect with each but they are not parallel like skew lines these lines because these lines present on the different planes so these lines never intersect with each other along with this these are not parallel.

03

Step 3. Make the conclusion

The word suitable for the blank is sometimes.

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Most popular questions from this chapter

In pentagon PQRST,m鈭�P=60 and m鈭�Q=130.鈭�S and鈭�T are each three times as large as 鈭�R.

  1. Find the measures of 鈭�R,鈭�Sand 鈭�T.
  2. Which pair of sides ofPQRST must be parallel?

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

If a鈭�b, name all angels that must be congruent to 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

Draw each figure described.

Lines d and e are skew, lines e and f are skew, and d鈯�f.
See all solutions

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