Symmetry worksheet for students to practice identifying and drawing lines of symmetry on various shapes.

Let's solve the symmetry worksheet step by step. The task is to draw lines of symmetry on each shape. A line of symmetry divides a shape into two identical halves that are mirror images of each other.

We'll analyze each shape (a through i) and determine how many lines of symmetry it has and where they should be drawn.

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a. Diamond (Square rotated 45°)

- This is a square, just rotated.
- A square has 4 lines of symmetry:
- 2 diagonals (from corner to corner)
- 1 vertical line through the center
- 1 horizontal line through the center
- ✔ 4 lines of symmetry

> Draw: One vertical, one horizontal, and two diagonal lines through the center.

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b. T-shaped object (like a dumbbell or key)

- This shape has a central bar with rounded ends.
- It is symmetric only along the vertical axis (up-down).
- If you fold it vertically down the middle, both sides match.
- No horizontal symmetry because the top and bottom are different (rounded ends vs. straight bar).

> ✔ 1 line of symmetry – vertical line through the center.

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c. Letter "T"

- The capital letter "T" has:
- A vertical line down the middle (through the stem and crossbar).
- No horizontal symmetry (top and bottom are not the same).
- So, only one line of symmetry — vertical.

> ✔ 1 line of symmetry – vertical line through the center.

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d. Arrow pointing up (triangle with base at bottom)

- This is a triangle with an arrowhead shape (like an upward-pointing arrow).
- It is symmetric along the vertical line down the middle.
- The left and right sides are mirror images.
- No horizontal symmetry (top is pointy, bottom is flat).

> ✔ 1 line of symmetry – vertical line through the center.

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e. Arrow pointing right (rectangle with a triangular tip)

- This is a rectangle with a triangle attached to one end (like a right-pointing arrow).
- It is symmetric along the horizontal line through the center.
- Top and bottom halves are mirror images.
- But not symmetric vertically — the left side is flat, the right side is pointed.

> ✔ 1 line of symmetry – horizontal line through the center.

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f. Octagon (regular 8-sided polygon)

- A regular octagon has 8 lines of symmetry:
- 4 lines through opposite vertices (diagonals)
- 4 lines through the midpoints of opposite sides
- All lines pass through the center.

> ✔ 8 lines of symmetry – draw 4 diagonals and 4 lines between midpoints of opposite sides.

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g. Left-pointing arrow

- Similar to (e), but pointing left.
- Symmetric along the horizontal line through the center.
- Not symmetric vertically.

> ✔ 1 line of symmetry – horizontal line through the center.

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h. Letter "M"

- Capital "M" has:
- A vertical line of symmetry down the center (if it’s symmetrical).
- The two outer legs and the middle peak are mirrored.
- So, yes — one vertical line of symmetry.

> ✔ 1 line of symmetry – vertical line through the center.

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i. Five-pointed star (regular star)

- A regular five-pointed star has 5 lines of symmetry:
- Each line goes from a tip to the midpoint of the opposite side.
- These lines pass through the center.

> ✔ 5 lines of symmetry – one from each tip to the midpoint of the opposite side.

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✔ Summary Table:

| Shape | Lines of Symmetry | Description |
|------|-------------------|-------------|
| a. Diamond | 4 | Vertical, horizontal, 2 diagonals |
| b. Dumbbell | 1 | Vertical |
| c. T | 1 | Vertical |
| d. Up arrow | 1 | Vertical |
| e. Right arrow | 1 | Horizontal |
| f. Octagon | 8 | 4 diagonals, 4 side-midpoint lines |
| g. Left arrow | 1 | Horizontal |
| h. M | 1 | Vertical |
| i. Star | 5 | From each tip to opposite side |

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📝 Instructions for Drawing:

- Use a ruler to draw straight lines.
- For shapes with multiple lines, draw all possible lines of symmetry.
- Make sure each line passes through the center and divides the shape into matching halves.

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✔ Final Answer:
You should draw the following number of lines of symmetry:

- a. 4
- b. 1
- c. 1
- d. 1
- e. 1
- f. 8
- g. 1
- h. 1
- i. 5

And draw them accordingly based on the descriptions above.

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