Symmetry 2 - Geometry (Shape) by URBrainy.com - Free Printable

The task in the image is to complete symmetrical patterns by reflecting the given half across a mirror line. The mirror line is a vertical line that divides each grid into two halves. Your job is to draw the missing half so that the pattern is symmetrical — meaning the left and right sides are mirror images of each other.

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🔍 How to Solve:

1. Identify the mirror line: It's the vertical black line in the middle of each grid.
2. Look at the red squares on one side of the mirror line.
3. For each red square, find its reflection (mirror image) on the opposite side of the mirror line.
- Count how many squares it is from the mirror line horizontally.
- Place a red square the same distance on the other side, in the same row.
4. Repeat for all red squares to complete the full symmetrical shape.

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Let’s go through each pattern one by one:

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✔ Pattern 1 (Top-left)

- Red squares on the left side form an "L" shape: top row (columns 1–3), then one square down in column 3.
- Mirror this:
- Top row: columns 1–3 → reflect to columns 6–8
- Middle square: column 3, row 2 → reflect to column 7, row 2
- Bottom square: column 3, row 3 → reflect to column 7, row 3
- So, fill in red squares in:
- Row 1: columns 6, 7, 8
- Row 2: column 7
- Row 3: column 7

> ✔ Result: A symmetrical "T" or "L" mirrored on both sides.

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✔ Pattern 2 (Top-right)

- Red squares on the left:
- Row 1: column 2
- Row 2: columns 1 and 3
- Row 3: column 2
- This looks like a diamond or cross shape.
- Reflect each:
- Column 2 → column 6
- Column 1 → column 7
- Column 3 → column 5
- So add:
- Row 1: column 6
- Row 2: columns 5 and 7
- Row 3: column 6

> ✔ Result: Symmetrical diamond-like shape.

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✔ Pattern 3 (Middle-left)

- Left side:
- Row 1: column 2
- Row 2: column 3
- Row 3: column 2
- This is a "C" shape opening to the right.
- Reflect:
- Column 2 → column 6
- Column 3 → column 5
- Add:
- Row 1: column 6
- Row 2: column 5
- Row 3: column 6

> ✔ Result: Full "C" shape symmetrically closed on the right.

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✔ Pattern 4 (Middle-right)

- Left side:
- Row 1: column 2
- Row 2: column 3
- Row 3: column 2
- Row 4: column 3
- This is a "Z" or "S" shape?
- Actually, it's a "U" shape rotated.
- Reflect:
- Col 2 → col 6
- Col 3 → col 5
- So:
- Row 1: col 6
- Row 2: col 5
- Row 3: col 6
- Row 4: col 5

> ✔ Result: Symmetrical "U" shape.

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✔ Pattern 5 (Bottom-left)

- Left side:
- Row 2: col 4
- Row 3: col 5
- Row 4: col 4
- Row 5: col 5
- Looks like a diagonal zigzag.
- Reflect:
- Col 4 → col 6
- Col 5 → col 5 (on the mirror line? Wait — no!)
- Actually, mirror line is between col 4 and 5 → so:
- Col 4 → col 6
- Col 5 → col 5? No — mirror line is between col 4 and 5, so:
- Distance from mirror line:
- Col 4 → 1 square left → reflect to 1 square right = col 5
- Col 5 → 1 square right → reflect to 1 square left = col 4
- But wait — the mirror line is between columns 4 and 5, so:
- Col 4 → reflected to col 5
- Col 5 → reflected to col 4
- So:
- Row 2: col 4 → reflect to col 5
- Row 3: col 5 → reflect to col 4
- Row 4: col 4 → reflect to col 5
- Row 5: col 5 → reflect to col 4
- Therefore, add:
- Row 2: col 5
- Row 3: col 4
- Row 4: col 5
- Row 5: col 4

> ✔ Result: Diagonal cross-like shape with symmetry.

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✔ Pattern 6 (Bottom-right)

- Left side:
- Row 1: col 4
- Row 2: col 5
- Row 3: col 4
- Row 4: col 5
- Same as above — a diagonal zigzag.
- Mirror line between col 4 and 5 → so:
- Col 4 → col 5
- Col 5 → col 4
- So reflect:
- Row 1: col 4 → col 5
- Row 2: col 5 → col 4
- Row 3: col 4 → col 5
- Row 4: col 5 → col 4
- Add:
- Row 1: col 5
- Row 2: col 4
- Row 3: col 5
- Row 4: col 4

> ✔ Result: Symmetrical diagonal "X" or zigzag.

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🎯 Summary of Solution:

To complete each pattern:
- Use the mirror line as a guide.
- For every red square on one side, place a red square the same distance on the other side, in the same row.
- This creates line symmetry (reflection symmetry).

You can visualize this by imagining placing a mirror along the black line — what you see on one side should match the other.

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✔ Final Answer:

Complete each pattern by reflecting the red squares across the mirror line. The completed shapes will be:
1. Symmetrical "T"
2. Diamond-like shape
3. Symmetrical "C"
4. Symmetrical "U"
5. Diagonal cross
6. Diagonal zigzag (symmetrical)

> You would fill in the blank squares on the right side of each grid to make them mirror images of the left side.

Would you like me to provide a visual version of the completed grids?