Grade 4 Geometry Worksheet on Parallel, Perpendicular, and Intersecting Lines

Let’s go step by step to solve this worksheet.

We are given definitions:
- Parallel lines → never touch or cross, always same distance apart.
- Perpendicular lines → cross at a right angle (90°), like the corner of a square.
- Intersecting lines → cross at one point, but not necessarily at 90°.

Now let’s look at each pair in the grid:

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Top row, left box:
Two horizontal arrows pointing left and right, one above the other. They never meet → parallel

Top row, middle box:
One vertical line with up/down arrows, one horizontal line with left/right arrows. They cross and there’s a small square symbol → that means 90° → perpendicular

Top row, right box:
One vertical line, one diagonal line crossing it. They cross at one point, but no right angle mark → so just intersecting

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Bottom row, left box:
Two diagonal lines crossing each other — not at 90°, no special mark → intersecting

Bottom row, middle box:
Two vertical lines side by side, both with up/down arrows. Never meet → parallel

Bottom row, right box:
One horizontal line, one diagonal line crossing it → they cross at one point, not 90° → intersecting

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Now for the drawing part — you’re asked to draw examples. Since we can’t draw here, I’ll describe what to draw:

- Parallel lines: Draw two straight lines that never meet, like train tracks. Can be horizontal, vertical, or slanted — as long as they stay same distance apart.

- Perpendicular lines: Draw one horizontal line and one vertical line crossing them, making a “+” shape. Add a little square where they cross to show 90°.

- Intersecting lines: Draw any two lines that cross at one point, but NOT at 90° — like an “X” that’s tilted, not perfect.

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Final Answer:

Write below each pair:

Top row:
Left: parallel
Middle: perpendicular
Right: intersecting

Bottom row:
Left: intersecting
Middle: parallel
Right: intersecting

For drawings:
- Parallel lines: Two non-crossing lines, same direction, equal spacing.
- Perpendicular lines: Cross at 90°, use a small square at intersection.
- Intersecting lines: Cross at any angle except 90°.