Maths worksheet featuring grid patterns where students must draw the reflection of red shapes across a central mirror line to complete the symmetry.

To complete these symmetrical patterns, you need to reflect the red squares across the vertical "Mirror line." Imagine folding the paper along that black line; the red squares on the left side need to be mirrored exactly onto the right side (or vice versa) so that both sides look like perfect reflections of each other.

Here is the step-by-step solution for each grid:

Grid 1 (Top Left):
* Left Side: There are 3 red squares in the top row (columns 2, 3, 4) and 1 red square in the third row (column 4). The mirror line is between column 4 and 5.
* Reflection:
* The square at column 4 reflects to column 5.
* The square at column 3 reflects to column 6.
* The square at column 2 reflects to column 7.
* The single square at row 3, column 4 reflects to row 3, column 5.
* Result: On the right side, fill in: Row 1 (cols 5, 6, 7) and Row 3 (col 5).

Grid 2 (Top Right):
* Left Side: Red squares are at: Row 2 (col 2), Row 2 (col 4), Row 3 (col 1), Row 3 (col 3). Mirror line is between col 4 and 5.
* Reflection:
* Row 2, Col 4 → Row 2, Col 5.
* Row 2, Col 2 → Row 2, Col 7.
* Row 3, Col 3 → Row 3, Col 6.
* Row 3, Col 1 → Row 3, Col 8.
* Result: On the right side, fill in: Row 2 (cols 5, 7) and Row 3 (cols 6, 8).

Grid 3 (Second Row Left):
* Left Side: Red squares form a shape near the mirror line. Squares at: Row 2 (col 3), Row 3 (col 4), Row 4 (col 4), Row 5 (col 3). Mirror line is between col 4 and 5.
* Reflection:
* Row 2, Col 3 → Row 2, Col 6.
* Row 3, Col 4 → Row 3, Col 5.
* Row 4, Col 4 → Row 4, Col 5.
* Row 5, Col 3 → Row 5, Col 6.
* Result: On the right side, fill in: Row 2 (col 6), Row 3 (col 5), Row 4 (col 5), Row 5 (col 6).

Grid 4 (Second Row Right):
* Left Side: Squares at: Row 2 (col 2), Row 2 (col 4), Row 3 (col 3), Row 4 (col 3), Row 5 (col 2), Row 5 (col 4). Mirror line is between col 4 and 5.
* Reflection:
* Row 2, Col 4 → Row 2, Col 5.
* Row 2, Col 2 → Row 2, Col 7.
* Row 3, Col 3 → Row 3, Col 6.
* Row 4, Col 3 → Row 4, Col 6.
* Row 5, Col 4 → Row 5, Col 5.
* Row 5, Col 2 → Row 5, Col 7.
* Result: On the right side, fill in: Row 2 (cols 5, 7), Row 3 (col 6), Row 4 (col 6), Row 5 (cols 5, 7).

Grid 5 (Third Row Left):
* Right Side (Given): Squares at: Row 2 (col 5), Row 2 (col 8), Row 3 (col 7), Row 4 (col 6), Row 5 (col 5), Row 5 (col 8). Mirror line is between col 4 and 5.
* Reflection (to find Left Side):
* Row 2, Col 5 → Row 2, Col 4.
* Row 2, Col 8 → Row 2, Col 1.
* Row 3, Col 7 → Row 3, Col 2.
* Row 4, Col 6 → Row 4, Col 3.
* Row 5, Col 5 → Row 5, Col 4.
* Row 5, Col 8 → Row 5, Col 1.
* Result: On the left side, fill in: Row 2 (cols 1, 4), Row 3 (col 2), Row 4 (col 3), Row 5 (cols 1, 4).

Grid 6 (Third Row Right):
* Right Side (Given): Squares at: Row 2 (col 5), Row 2 (col 8), Row 3 (col 6), Row 3 (col 7), Row 4 (col 5), Row 4 (col 8), Row 5 (col 6), Row 5 (col 7). Mirror line is between col 4 and 5.
* Reflection (to find Left Side):
* Row 2, Col 5 → Row 2, Col 4.
* Row 2, Col 8 → Row 2, Col 1.
* Row 3, Col 6 → Row 3, Col 3.
* Row 3, Col 7 → Row 3, Col 2.
* Row 4, Col 5 → Row 4, Col 4.
* Row 4, Col 8 → Row 4, Col 1.
* Row 5, Col 6 → Row 5, Col 3.
* Row 5, Col 7 → Row 5, Col 2.
* Result: On the left side, fill in: Row 2 (cols 1, 4), Row 3 (cols 2, 3), Row 4 (cols 1, 4), Row 5 (cols 2, 3).

Grid 7 (Bottom Left):
* Right Side (Given): Squares at: Row 2 (col 8), Row 3 (col 6), Row 4 (col 5), Row 4 (col 7), Row 5 (col 8). Mirror line is between col 4 and 5.
* Reflection (to find Left Side):
* Row 2, Col 8 → Row 2, Col 1.
* Row 3, Col 6 → Row 3, Col 3.
* Row 4, Col 5 → Row 4, Col 4.
* Row 4, Col 7 → Row 4, Col 2.
* Row 5, Col 8 → Row 5, Col 1.
* Result: On the left side, fill in: Row 2 (col 1), Row 3 (col 3), Row 4 (cols 2, 4), Row 5 (col 1).

Grid 8 (Bottom Right):
* Right Side (Given): Squares at: Row 2 (col 6), Row 3 (col 6), Row 3 (col 8), Row 4 (col 5), Row 4 (col 6), Row 5 (col 6). Mirror line is between col 4 and 5.
* Reflection (to find Left Side):
* Row 2, Col 6 → Row 2, Col 3.
* Row 3, Col 6 → Row 3, Col 3.
* Row 3, Col 8 → Row 3, Col 1.
* Row 4, Col 5 → Row 4, Col 4.
* Row 4, Col 6 → Row 4, Col 3.
* Row 5, Col 6 → Row 5, Col 3.
* Result: On the left side, fill in: Row 2 (col 3), Row 3 (cols 1, 3), Row 4 (cols 3, 4), Row 5 (col 3).

Final Answer:
The completed patterns are described above by listing which squares to fill in on the empty half of each grid. For grids 1-4, fill the right side. For grids 5-8, fill the left side.