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Chapter 3: Q4CUR. (page 114)

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

If two parallel lines are cut by a third plane, then the lines of intersection are _______ coplanar.

Short Answer

Expert verified

The sentence is:

If two parallel lines are cut by a third plane, then the lines of intersection are always coplanar.

Step by step solution

01

Step 1. Consider the diagram.

Here, X and Y are two parallel lines.

02

Step 2. State the explanation.

From the diagram,

The two parallel lines x and y are cut by a third plane, then the lines of intersection l and n are always coplanar.

Here, the correct word is always.

03

Step 3. State the conclusion.

Therefore, the statement is:

If two parallel lines are cut by a third plane, then the lines of intersection are always coplanar.

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Most popular questions from this chapter

Name two coplanar segments that do not intersect and yet are not parallel.

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name five lines that appear to be parallel toAG炉.

The blue line is a transversal.

a. Name four pairs of corresponding angles.

b. Name two pairs of alternate interior angles.

c. Name two pairs of same-side interior angles.

d. Name two pairs of angles that could be called alternate exterior angles.

e.

Find the values of xand y

Copy and complete the proof of Theorem 3-4. Given: Transversal tcuts Iand n;

t鈯�l;l鈭�n

Prove: t鈯�n
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