Let's solve each of the problems on the worksheet step by step. The task is to determine whether each pair of lines is
parallel,
perpendicular, or
intersecting.
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1) Lines XD and RS
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Observation: The lines cross each other at a point.
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Analysis: Since they cross at one point, they are
intersecting.
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Answer:
Intersecting
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2) Lines NK and EC
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Observation: The two lines appear to be going in the same direction and never meet (they are equidistant).
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Analysis: They have the same slope and do not intersect — this means they are
parallel.
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Answer:
Parallel
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3) Two lines forming a right angle (one vertical, one horizontal)
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Observation: One line goes up/down (vertical), the other left/right (horizontal). They meet at a corner.
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Analysis: When a vertical and horizontal line meet, they form a 90° angle →
perpendicular.
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Answer:
Perpendicular
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4) Lines QX and JW
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Observation: Line QX is diagonal, and line JW is vertical.
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Analysis: They cross at a point but are not at a right angle. They are not parallel (different slopes), and they cross →
intersecting.
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Answer:
Intersecting
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5) Horizontal and vertical arrow lines
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Observation: One arrow points left (horizontal), the other points down (vertical). They meet at a point.
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Analysis: These lines form a 90° angle →
perpendicular.
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Answer:
Perpendicular
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6) Lines TZ and CF
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Observation: Both lines are horizontal and appear to be straight across, with no tilt.
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Analysis: They are both horizontal and do not meet; they are the same distance apart →
parallel.
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Answer:
Parallel
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✔ Final Answers:
1)
Intersecting
2)
Parallel
3)
Perpendicular
4)
Intersecting
5)
Perpendicular
6)
Parallel
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🔍 Summary:
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Parallel: Lines that never meet (same direction, same slope).
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Perpendicular: Lines that meet at a 90° angle.
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Intersecting: Lines that cross at any angle (not necessarily 90°).
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of types of lines worksheet.
