Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
3. Postulates and Diagrams
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Exercise 32 Page 464

In what circumstance do lines in a plane never intersect?

No
Explanation: See solution.

Practice makes perfect
Your friend is not correct. Just like parallel lines in a plane will never intersect, parallel planes will also never intersect. Plane A and B below are both perpendicular to line l which means they will never intersect.