Let’s go through each pair of lines one by one and decide if they are
parallel,
perpendicular, or
intersecting.
Remember:
-
Parallel lines never meet — they stay the same distance apart, like train tracks.
-
Perpendicular lines cross at a perfect right angle (like the corner of a square).
-
Intersecting lines cross each other at any angle that’s not 90 degrees.
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Row 1:
1. First image (top left): Two slanted lines going in the same direction, never touching →
Parallel
2. Second image (top middle): Lines crossing straight up/down and left/right → forms a plus sign →
Perpendicular
3. Third image (top right): Two lines crossing but not at right angles →
Intersecting
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Row 2:
4. Fourth image (middle left): Two lines going almost the same way but slightly different slopes → they will eventually meet →
Intersecting
5. Fifth image (middle center): Two slanted lines side by side, same slope →
Parallel
6. Sixth image (middle right): Two lines crossing diagonally, forming an X → not right angles →
Intersecting
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Row 3:
7. Seventh image (bottom left): Two lines crossing to form an X with equal angles → looks like right angles? Wait — actually, it’s symmetric but not necessarily 90°. Let’s check: if you rotate your head, it still looks like a tilted X. But in geometry, unless marked, we assume only obvious right angles count. This is just two lines crossing →
Intersecting
*(Note: Some might think it’s perpendicular, but without a square corner mark, we don’t assume it. In this worksheet, only the clear “plus” shape is perpendicular.)*
Wait — let me double-check #7. Actually, looking again: the lines cross at what appears to be 90 degrees — vertical and horizontal? No, they’re diagonal. But if they form four equal angles, then yes — it *is* perpendicular. Hmm… Actually, in many worksheets, if it looks like a perfect X with symmetrical arms, it’s meant to be perpendicular. Let’s compare to #2 — that was clearly perpendicular. #7 also has symmetry. I think it’s intended to be
Perpendicular.
But wait — no! Look closely: in #2, one line is perfectly vertical, one perfectly horizontal. In #7, both are diagonal — so even if they cross at 90°, they’re still perpendicular. Yes — perpendicular doesn’t require vertical/horizontal — just 90° between them. So if the X is symmetric, it’s likely 90°. So
#7 = Perpendicular
Actually, let’s be safe. In most elementary worksheets, if it’s drawn as a perfect X (equal angles), it’s considered perpendicular. So I’ll go with
Perpendicular.
8. Eighth image (bottom middle): One line going down-left, another going up-right — they cross, but not at 90° →
Intersecting
9. Ninth image (bottom right): Two lines very close together, same slope →
Parallel
Wait — let me recheck all for consistency.
Final decision per item:
1. Parallel
2. Perpendicular
3. Intersecting
4. Intersecting (they’re converging)
5. Parallel
6. Intersecting
7. Perpendicular (symmetric X = 90°)
8. Intersecting
9. Parallel
Yes, that makes sense.
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Final Answer:
Row 1: Parallel, Perpendicular, Intersecting
Row 2: Intersecting, Parallel, Intersecting
Row 3: Perpendicular, Intersecting, Parallel
Parent Tip: Review the logic above to help your child master the concept of worksheet parallel and perpendicular lines.