Let's solve the worksheet titled
"Parallel, Perpendicular or Intersecting Lines". The task is to classify each pair of lines as
parallel,
perpendicular, or
intersecting.
Here’s a breakdown of each problem:
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1.
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Lines: Two diagonal lines crossing at an angle (not 90°).
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Analysis: They cross each other but not at a right angle.
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Answer: Intersecting
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2.
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Lines: One vertical line and one horizontal line crossing.
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Analysis: They form a "T" shape — they meet at a right angle (90°).
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Answer: Perpendicular
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3.
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Lines: Two diagonal lines crossing each other at an angle.
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Analysis: They intersect but do not form right angles.
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Answer: Intersecting
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4.
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Lines: Two horizontal lines with arrows on both ends, same direction, equal distance apart.
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Analysis: Never meet; always the same distance apart.
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Answer: Parallel
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5.
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Lines: One vertical line and one horizontal line crossing.
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Analysis: They form a cross ("+"), meeting at a right angle.
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Answer: Perpendicular
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6.
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Lines: Two diagonal lines slanting in the same direction, same distance apart.
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Analysis: They never meet and are equidistant — parallel.
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Answer: Parallel
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7.
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Lines: Two diagonal lines that cross at an angle (not 90°).
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Analysis: They intersect but not perpendicularly.
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Answer: Intersecting
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8.
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Lines: One vertical line and one horizontal line crossing.
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Analysis: Forms a "T" shape, meeting at a right angle.
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Answer: Perpendicular
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✔ Final Answers:
1.
Intersecting
2.
Perpendicular
3.
Intersecting
4.
Parallel
5.
Perpendicular
6.
Parallel
7.
Intersecting
8.
Perpendicular
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🔍 Definitions Recap:
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Parallel lines: Lines that never meet and are always the same distance apart.
-
Perpendicular lines: Lines that intersect at a
90-degree angle.
-
Intersecting lines: Lines that cross each other at any angle (not necessarily 90°).
This worksheet helps reinforce basic geometry concepts about line relationships.
Parent Tip: Review the logic above to help your child master the concept of perpendicular parallel lines worksheet.
