What do the four figures have in common?
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What do the four figures have in common?
Remember that perpendicular lines form a 90-degree angle between them.
Parallel lines are lines that never intersect and do not form any angle between them.
To be able to examine the lines, a line will be drawn at each end of the line, as follows:
We notice that from the drawings it seems that all the lines do not form any angle between them, this is because they do not meet each other.
Therefore, all figures show parallel lines.
All show parallel lines.
What do the four figures below have in common?
Look for lines that maintain the same distance apart along their entire length. Even if they're positioned differently (horizontal, vertical, or diagonal), parallel lines never get closer or farther apart.
Parallel lines never meet and have no angle between them. Perpendicular lines intersect at exactly 90 degrees (right angles). They're completely different relationships!
Absolutely! Lines can be parallel at any angle - horizontal, vertical, or diagonal. The key is that they maintain the same direction and never intersect.
The figures show parallel lines in different orientations (positions). Figure 1 has horizontal parallels, Figure 2 has diagonal parallels, etc. Orientation doesn't change the parallel relationship!
Imagine extending each pair of lines infinitely in both directions. True parallel lines will never intersect no matter how far you extend them - that's what makes them parallel!
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