Let’s go step by step for each pair of lines.
We are to decide if the lines are:
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Parallel → never meet, same direction
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Perpendicular → cross at a right angle (90°)
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Intersecting → cross but not at 90°
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1) Lines XR and DS
They cross each other — so they intersect. But do they form a right angle? Looking at the drawing, it doesn’t look like 90°. So just “intersecting”.
→ Answer: Intersecting
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2) Lines NK and EC
These two lines look like they’re going in the same direction and will never meet — even if extended. That means parallel.
→ Answer: Parallel
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3) One vertical line with arrows up/down, one horizontal line with arrow right. They cross at a corner that looks like an L-shape → that’s 90°.
→ Answer: Perpendicular
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4) Line JW (vertical) and line QX (slanted). They cross — but not at 90°. The slant is obvious.
→ Answer: Intersecting
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5) Horizontal line with left arrow, vertical line with up/down arrows. They meet at a right angle — again, L-shape.
→ Answer: Perpendicular
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6) Lines TZ and CF — both horizontal, same direction, no sign of meeting. Even though they’re on different levels, they’re parallel.
→ Answer: Parallel
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Final Answer:
1) Intersecting
2) Parallel
3) Perpendicular
4) Intersecting
5) Perpendicular
6) Parallel
Parent Tip: Review the logic above to help your child master the concept of free geometry worksheet high school with answers.
