Parallel and Intersecting Lines | IT

Question 8

Are line segments OP and QR likely to meet if they are extended?

Solution

Parallel lines never meet, even when extended indefinitely.

Step 1 — Examine the lines We look at line segment OP. We also look at line segment QR. They are shown in the diagram. They appear to be parallel. This means they run in the same direction. They also seem to be always the same distance apart.

Diagram 1

Step 2 — Apply the rule for parallel lines Parallel lines never intersect. They will never meet. This is true even if we extend them. So, if OP and QR are parallel, they will not meet.

Answer

Line segments OP and QR are likely to not meet if they are extended.

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