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Chapter 3: Q1CUR. (page 114)

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

If AB↔intersects CD↔, then AB↔_______ intersects CD↔.

Short Answer

Expert verified

The sentence is:

If AB↔ intersects CD↔, then AB↔ sometimes intersects CD↔.

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↔intersects CD↔.

The segment AB is the subset of the ray AB↔.

So, AB sometimes intersects the segment CD.

03

Step 3. State the conclusion.

Therefore, the statement is:

If AB↔ intersects CD↔, then AB↔ sometimes intersects CD↔.

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