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Chapter 3: Q33 (page 77)

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

Two lines parallel to a third line are parallel to each other

Short Answer

Expert verified

Two lines parallel to a third line are always parallel to each other.

Step by step solution

01

Step 1. Definition

Parallel lines are those lines which do not intersect.

02

Step 2. State the explanation

Draw a diagram depicting three lines a→,b→and localid="1637653201636" c→such thata→∥b→and b→∥c→.

03

Step 3. State the Conclusion

Parallel lines are those lines which are coplanar but do not intersect each other

anywhere. So, if the two lines are parallel to a third line then both the lines must also be parallel to each other.

Thus, it is clear that two lines parallel to a third line are always parallel to each other.

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