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Chapter 3: Q1CUR. (page 114)

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

If AB鈫�intersects CD鈫�, then AB鈫�_______ intersects CD鈫�.

Short Answer

Expert verified

The sentence is:

If AB鈫� intersects CD鈫�, then AB鈫� sometimes intersects CD鈫�.

Step by step solution

01

Step 1. Define a line and a line segment. 

A line is a straight path of points that has no beginning or end.

Whereas a line segment is a portion of a line that has two end points.

02

Step 2. State the explanation.

Consider the ray if AB鈫�intersects CD鈫�.

The segment AB is the subset of the ray AB鈫�.

So, AB sometimes intersects the segment CD.

03

Step 3. State the conclusion.

Therefore, the statement is:

If AB鈫� intersects CD鈫�, then AB鈫� sometimes intersects CD鈫�.

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