This worksheet helps students practice identifying lines of symmetry through drawing and shading exercises.

Here is the step-by-step solution to the worksheet.

Section A: Draw lines of symmetry

*Instructions: Draw lines where you could fold the shape so both halves match perfectly.*

1. Arrow: Draw 1 vertical line straight down the middle (from top point to bottom point).
2. Capsule (Rounded Rectangle): Draw 2 lines. One vertical line down the center and one horizontal line across the center.
3. Triangle: Assuming this is an equilateral triangle (all sides equal), draw 3 lines. One from each corner to the middle of the opposite side. *(Note: If it is just an isosceles triangle, draw only 1 vertical line).*
4. Four-way Arrow: Draw 4 lines. One vertical, one horizontal, and two diagonal lines crossing through the center.
5. Circle with "7": This shape has 0 lines of symmetry. The number inside prevents any fold from matching. Do not draw anything.
6. Square: Draw 4 lines. One vertical, one horizontal, and two diagonals connecting opposite corners.
7. Hexagon: Draw 6 lines. Three lines connecting opposite corners and three lines connecting the midpoints of opposite flat sides.
8. Parallelogram: This shape has 0 lines of symmetry (it has rotational symmetry, but you cannot fold it in half to match). Do not draw anything.

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Section B: Shade one square for 1 line of symmetry

*Instructions: Pick one empty white square to color grey so the whole pattern has exactly one line of symmetry (usually vertical or horizontal).*

1. First Grid: Shade the square in Row 3, Column 3 (the exact center square). This creates a vertical line of symmetry.
2. Second Grid: Shade the square in Row 3, Column 4 (middle row, second from right). This creates a horizontal line of symmetry.
3. Third Grid: Shade the square in Row 3, Column 2 (middle row, second from left). This creates a vertical line of symmetry.
4. Fourth Grid: Shade the square in Row 2, Column 3 (second row from top, middle column). This creates a vertical line of symmetry.

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Section C: Least squares for 2 diagonal lines of symmetry

*Instructions: Color the fewest amount of squares needed so the pattern looks the same when folded along both diagonal corners.*

1. First Grid: You need to shade 2 squares.
* Shade Row 2, Column 6 (top right area).
* Shade Row 6, Column 2 (bottom left area).
2. Second Grid: You need to shade 2 squares.
* Shade Row 2, Column 5.
* Shade Row 5, Column 2.
3. Third Grid: You need to shade 1 square.
* Shade Row 5, Column 5 (this is on the main diagonal line).

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Final Answer:
Section A:
* Arrow: 1 vertical line.
* Capsule: 1 vertical, 1 horizontal.
* Triangle: 3 lines (corner to opposite midpoint).
* 4-Way Arrow: 4 lines (vertical, horizontal, 2 diagonals).
* Circle/7: None.
* Square: 4 lines (vertical, horizontal, 2 diagonals).
* Hexagon: 6 lines (3 corner-to-corner, 3 side-midpoint-to-side-midpoint).
* Parallelogram: None.

Section B:
* Grid 1: Center square (R3, C3).
* Grid 2: R3, C4.
* Grid 3: R3, C2.
* Grid 4: R2, C3.

Section C:
* Grid 1: Shade R2,C6 and R6,C2.
* Grid 2: Shade R2,C5 and R5,C2.
* Grid 3: Shade R5,C5.