Symmetry worksheet for Grade 5 students, with nine exercises to complete the other half of symmetrical figures on grid paper.

The worksheet you've uploaded is a Grade 5 Maths exercise on Symmetry, where the task is to draw the other half of each symmetrical shape given a line of symmetry (a vertical dashed line in each grid).

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🔍 Understanding the Task

Each shape is drawn on a dot grid, and only one half of the shape is shown. A vertical line (the line of symmetry) divides the shape into two equal parts. Your job is to reflect the given half across this line to complete the full symmetrical shape.

To do this:
- Identify key points on the given half.
- Measure their horizontal distance from the line of symmetry.
- Plot the same distance on the opposite side of the line.
- Connect these reflected points to form the mirror image.

Let’s go through each one briefly and describe how to complete it:

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✔ Step-by-step Guide for Each Shape

#### a. Right Triangle
- The triangle has vertices at:
- Bottom-left: (0,0)
- Top-left: (0,4)
- Bottom-right: (3,0)
- Line of symmetry is at x = 3
- Reflect each point across x = 3:
- (0,0) → (6,0)
- (0,4) → (6,4)
- (3,0) → (3,0) — already on the line
- Draw a triangle with vertices (6,0), (6,4), (3,0)

> Result: A full right triangle mirrored across the line.

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#### b. Irregular Star-like Shape
- This is a five-pointed star or zigzag shape.
- Carefully reflect each vertex across the vertical line.
- For example:
- If a point is 2 dots left of the line, place a point 2 dots right.
- Use the dot grid to count steps horizontally.

> Complete by mirroring every corner symmetrically.

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#### c. Letter "M" Style
- Looks like an "M" but not quite.
- The left half has peaks and valleys.
- Reflect each peak and valley across the line.
- The shape will look like a double "M" or butterfly-like.

> Mirror each vertex exactly across the line.

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#### d. Complex Zigzag Shape
- Has multiple turns and angles.
- Follow the path of the original and draw the reverse on the other side.
- Count the number of dots between turns and replicate them.

> Think of it as drawing the mirror image of a maze.

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#### e. U-shaped Figure
- It's a "U" that curves inward.
- The left side is shown; reflect each point across the line.
- The curve should match perfectly on both sides.

> Result: A symmetrical U-shape, like a closed loop.

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#### f. Letter "K" Style
- Left side shows a diagonal and horizontal stroke.
- The right side must be a mirror image.
- So, if the left has a diagonal going up-right, the right should have a diagonal going up-left.

> This forms a full "K" when mirrored.

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#### g. Circle + Square
- Left side has a circle and a square touching.
- Reflect the circle and square across the line.
- The circle becomes a full circle.
- The square becomes a rectangle or two squares side by side?

Wait — actually, only half of the circle and half of the square are visible.
- So:
- Complete the circle by drawing the other half.
- Complete the square by drawing its right side.

> Final shape: Full circle attached to a full square.

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#### h. Butterfly-like Shape
- Two triangles connected at the base.
- Already looks symmetrical — just needs completion.
- Reflect each point across the line.
- Will end up with a symmetrical diamond-like shape.

> Looks like a bowtie or hourglass.

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#### i. Arrowhead / Triangle
- A large triangle pointing to the right.
- The left side is missing.
- Reflect the three vertices across the line.
- Should form a full equilateral or isosceles triangle.

> Result: A full arrow pointing to the right.

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📌 Tips for Drawing Accurately:

1. Use the dot grid: Count dots horizontally from the line of symmetry.
2. Mark key points first: Corners, bends, curves.
3. Connect the dots carefully: Ensure lines match in length and angle.
4. Check symmetry: After drawing, see if both sides look like mirrors of each other.

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✔ Final Answer Summary:

You need to complete each shape by drawing the mirror image of the given half across the vertical line of symmetry.

Since I can't draw directly here, here’s what you should do for each:

| Shape | What to Draw |
|-------|--------------|
| a | Mirror the right triangle to make a full triangle |
| b | Mirror the star-like shape to create a symmetrical figure |
| c | Mirror the "M"-like shape to make a full symmetrical design |
| d | Mirror the zigzag to form a balanced shape |
| e | Mirror the U-shape to close the loop |
| f | Mirror the "K" part to form a full K |
| g | Complete the circle and square to make a full circle next to a full square |
| h | Mirror the butterfly shape to complete the symmetrical figure |
| i | Mirror the arrowhead to make a full triangle |

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💡 Practice Tip:

Try using tracing paper or a mirror to check your work. Place the mirror along the line of symmetry — if the reflection matches the drawn half, you’ve done it correctly!

Let me know if you'd like a visual guide or downloadable version of the completed worksheet!