Symmetry Worksheets For Grade 3 - www.eLearning24x7.com - Free Printable

Let's solve the symmetry problem step by step. The task is to draw all lines of symmetry for each of the 8 given shapes.

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🔍 What is a Line of Symmetry?

A line of symmetry is a line that divides a shape into two identical halves, such that one half is the mirror image of the other.

We will analyze each figure and determine how many lines of symmetry it has and where they should be drawn.

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✔ Step-by-Step Analysis:

#### 1) Pear
- Shape: A pear is generally not symmetrical in both directions.
- It has a vertical line of symmetry (from top stem to bottom), but not horizontal.
- ✔ 1 line of symmetry: Vertical line down the middle.

> 💡 Draw a vertical line through the center.

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#### 2) Clover (Three-Leaf)
- This is a three-leaf clover (like a shamrock).
- It has rotational symmetry, but only one line of symmetry — through the center of the stem and the middle leaf.
- The other two leaves are on either side, so only one vertical line works.
- ✔ 1 line of symmetry: Vertical line through the center.

> 💡 Draw a vertical line through the center.

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#### 3) Rainbow
- A rainbow is typically a semi-circle with colors.
- It has one line of symmetry: Vertical line down the center (left and right match).
- ✘ No horizontal symmetry because the top is curved and bottom is flat.
- ✔ 1 line of symmetry: Vertical.

> 💡 Draw a vertical line through the center.

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#### 4) Smiley Face
- A yellow smiley face with two eyes and a curved mouth.
- It has:
- Vertical symmetry: Left and right sides match.
- But no horizontal symmetry: The eyes are above the mouth; flipping vertically won't match.
- ✔ 1 line of symmetry: Vertical line through the center.

> 💡 Draw a vertical line between the eyes and down the center.

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#### 5) Kite-shaped Figure (with colored triangles)
- This is a square divided into four triangles, forming a pinwheel-like pattern.
- The design is rotational but not symmetric across any line unless it's balanced.
- However, observe: the colors are arranged in a way that suggests diagonal symmetry?
- Top triangle: blue
- Right: orange
- Bottom: blue
- Left: orange

Wait — this is not symmetric across diagonals or vertical/horizontal lines.

But let’s check:
- Vertical line? Left vs right: left is orange + blue, right is blue + orange → same color pattern? Let's see:
- Left: top = blue, bottom = orange
- Right: top = orange, bottom = blue → different!

So no vertical symmetry.

- Horizontal? Top vs bottom: top = blue, bottom = blue → but left/right mismatch.

Actually, the only possible symmetry is if the entire figure is rotationally symmetric, but not reflectional.

Wait — look at the coloring:
- Top: blue
- Right: orange
- Bottom: blue
- Left: orange

This is not symmetric across any axis.

But wait — is it symmetric across both diagonals?

Let’s test:
- Diagonal from top-left to bottom-right:
- Top-left triangle: blue
- Bottom-right triangle: blue → matches
- But top-right: orange, bottom-left: orange → also matches?
- Actually, yes! The two opposite corners have the same color.

But does the shape reflect across that diagonal?

No — the shapes are triangles, and their positions are rotated, not mirrored.

Actually, this figure has no lines of reflectional symmetry.

Wait — perhaps it's a diamond with alternating colors.

But in reality, this is a kite-shaped figure made of 4 right triangles.

Let’s suppose it’s a square rotated 45°, with alternating colors.

In such a case, if the coloring is symmetric, then:
- It may have 2 lines of symmetry: along the diagonals.

But here, top and bottom are blue, left and right are orange.

So:
- Vertical line: left (orange) vs right (orange) — but top-left is blue, top-right is orange → doesn’t match.
- So no vertical symmetry.

Wait — actually, the figure is symmetric across the vertical and horizontal axes?

No — top and bottom are both blue, but left and right are orange — so maybe:

- Vertical line: left half (orange + blue) vs right half (orange + blue)? Wait — let’s imagine:

If we split vertically:
- Left side: top-left (blue), bottom-left (orange)
- Right side: top-right (orange), bottom-right (blue)

Not matching → no vertical symmetry.

Similarly, horizontal:
- Top: blue (top-left), orange (top-right)
- Bottom: orange (bottom-left), blue (bottom-right)

No match.

Now check diagonals:
- Diagonal from top-left to bottom-right:
- Top-left: blue
- Bottom-right: blue → match
- Top-right: orange
- Bottom-left: orange → match
- But the shape must be mirrored.

Yes — if the figure is symmetric across the diagonal, then the two triangles on either side of the diagonal must be congruent and same color.

But since the colors are placed such that opposite corners are same, and adjacent are different, this figure has no reflectional symmetry.

✔ Conclusion: 0 lines of symmetry

> 💡 No lines of symmetry can be drawn.

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#### 6) Maple Leaf
- A typical maple leaf has one line of symmetry: vertical down the center.
- The left and right sides are mirror images.
- ✔ 1 line of symmetry: Vertical line through the center.

> 💡 Draw a vertical line down the middle.

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#### 7) Heart
- A heart shape usually has one line of symmetry: vertical.
- The left and right sides are mirror images.
- ✔ 1 line of symmetry: Vertical.

> 💡 Draw a vertical line through the center.

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#### 8) Pineapple
- A pineapple has a crown (leaves) on top and a textured body.
- The body is roughly symmetrical, but the crown has uneven leaves.
- In most depictions, the crown is not perfectly symmetric.
- However, if the crown is centered and symmetric, then:
- The whole shape may have one vertical line of symmetry.
- Assuming the drawing is idealized, we assume vertical symmetry.
- ✔ 1 line of symmetry: Vertical.

> 💡 Draw a vertical line through the center.

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✔ Final Answers:

| Number | Shape | Lines of Symmetry | How to Draw |
|--------|--------------|-------------------|-------------|
| 1) | Pear | 1 | Vertical line down the center |
| 2) | Clover | 1 | Vertical line through center |
| 3) | Rainbow | 1 | Vertical line through center |
| 4) | Smiley Face | 1 | Vertical line through center |
| 5) | Kite (colored)| 0 | No lines of symmetry |
| 6) | Maple Leaf | 1 | Vertical line through center |
| 7) | Heart | 1 | Vertical line through center |
| 8) | Pineapple | 1 | Vertical line through center |

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📝 Summary:

- Most shapes have 1 vertical line of symmetry.
- Only #5 (kite) has no lines of symmetry due to asymmetric coloring and structure.

> ⚠️ Note: If the kite had been colored symmetrically (e.g., opposite colors or same), it might have symmetry, but as drawn, it does not.

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✔ Instructions for Student:

Draw a dashed or solid line through the center of each shape where it splits into mirror-image halves. For #5, write “None” or leave blank.

Let me know if you'd like a visual sketch description or printable version!