3rd Grade Geometry Worksheets - Free Printable

Let’s go shape by shape and fill in the missing information.

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Second Shape (Top Middle): Rectangle

- It has 4 sides → Sides: 4
- A rectangle has 2 lines of symmetry: one vertical down the middle, one horizontal across the middle.
→ Lines of symmetry: 2
- Name: rectangle

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Third Shape (Top Right): Arrow-like Pentagon

This shape looks like a house with a pointed roof — it’s a pentagon (5 sides), but not regular. Let’s count:

- Top side (horizontal)
- Right slanted side
- Bottom right short side
- Bottom left short side
- Left slanted side

Wait — actually, looking again: it’s made of a rectangle + triangle on the right? No — let’s trace the outline:

Start at top-left corner → go right → down-right diagonal → down-left diagonal → left → up to start.

That’s 5 sides → Sides: 5

Now, lines of symmetry: if you draw a line horizontally through the middle, does it match? Yes! The top and bottom are mirror images. Vertical? No — because the point is only on the right. So only 1 line of symmetry (horizontal).

Name: This is called a pentagon, but more specifically, since it’s symmetric horizontally and has 5 sides, we can just call it a pentagon. Some might say “arrowhead” or “house shape”, but in math class, we usually go by number of sides unless told otherwise. Since it’s not regular, we still call it a pentagon.

Actually — wait! Looking closely: this shape is often called a “right-pointing arrow” or “pentagonal arrow”, but for elementary level, they expect you to count sides and name based on that. So:

→ Name of shape: pentagon

But let me double-check: some curricula call this a “trapezoid with a triangle attached”, but no — it’s a single polygon with 5 straight sides → definitely a pentagon.

And yes — only 1 line of symmetry: horizontal midline.

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Fourth Shape (Bottom Left): Hexagon

Count the sides: 6 → Sides: 6

It’s a regular hexagon (all sides equal, all angles equal) → so it has 6 lines of symmetry: 3 through opposite vertices, 3 through midpoints of opposite sides.

→ Lines of symmetry: 6

Name: hexagon

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Fifth Shape (Bottom Middle): Triangle

Looks like an isosceles triangle — two sides equal, base different.

Sides: 3 → Sides: 3

Lines of symmetry: Only 1 — from the top vertex straight down to the middle of the base.

→ Lines of symmetry: 1

Name: isosceles triangle — but sometimes they just want “triangle”. However, since it’s not equilateral or scalene (it’s symmetric), best to say isosceles triangle.

Wait — could it be equilateral? No, because the base looks longer than the other two sides. And it’s drawn with a flat base and two equal sloping sides → definitely isosceles.

So: Name of shape: isosceles triangle

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Sixth Shape (Bottom Right): Pentagon

Count sides: 5 → Sides: 5

Is it regular? Looks like all sides and angles are equal → yes, regular pentagon.

Regular pentagon has 5 lines of symmetry: each from a vertex to the midpoint of the opposite side.

→ Lines of symmetry: 5

Name: pentagon (or regular pentagon, but “pentagon” is fine)

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Let me summarize all answers clearly:

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✔ Second Shape (Rectangle):
- Sides: 4
- Lines of symmetry: 2
- Name: rectangle

✔ Third Shape (Arrow/Pentagon):
- Sides: 5
- Lines of symmetry: 1
- Name: pentagon

✔ Fourth Shape (Hexagon):
- Sides: 6
- Lines of symmetry: 6
- Name: hexagon

✔ Fifth Shape (Triangle):
- Sides: 3
- Lines of symmetry: 1
- Name: isosceles triangle

✔ Sixth Shape (Pentagon):
- Sides: 5
- Lines of symmetry: 5
- Name: pentagon

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Final Answer:

Second shape:
Sides: 4
Lines of symmetry: 2
Name of shape: rectangle

Third shape:
Sides: 5
Lines of symmetry: 1
Name of shape: pentagon

Fourth shape:
Sides: 6
Lines of symmetry: 6
Name of shape: hexagon

Fifth shape:
Sides: 3
Lines of symmetry: 1
Name of shape: isosceles triangle

Sixth shape:
Sides: 5
Lines of symmetry: 5
Name of shape: pentagon