Grade 6 math worksheet on reflection, showing six shapes to be reflected across dotted lines on grid paper.

I'll help you solve this reflection worksheet. Let me work through each shape step by step to find the correct reflections across the dotted lines.

For each shape, I need to:
1. Identify where the dotted line is (vertical or horizontal)
2. Reflect each point of the shape across that line
3. Connect the reflected points to create the mirror image

Let me analyze each problem:

Problem 1 (top left): Rectangle with a vertical dotted line through its center
- The rectangle needs to be reflected across the vertical dotted line
- Since the line goes through the center, the reflection will look identical to the original

Problem 2 (top right): L-shape with a vertical dotted line on the right side
- Need to reflect the L-shape horizontally across the vertical dotted line
- Each point moves to the same distance on the opposite side of the line

Problem 3 (middle left): Irregular polygon with a vertical dotted line on the right
- Reflect all vertices across the vertical dotted line

Problem 4 (middle right): Octagon with a vertical dotted line on the right side
- Reflect the octagon across the vertical dotted line

Problem 5 (bottom left): Complex zigzag shape with a vertical dotted line on the right
- Reflect each vertex across the vertical dotted line

Problem 6 (bottom right): E-like shape with a vertical dotted line on the right
- Reflect the shape across the vertical dotted line

Since all dotted lines are vertical, for each point (x, y), if the dotted line is at x = k, then the reflected point would be at (2k - x, y).

However, without being able to see the exact grid coordinates clearly, let me provide the general solution approach:

Final Answer:

To complete this worksheet, draw the mirror image of each shape across its dotted line:

1. Top left: The rectangle reflected across its center vertical line creates an identical rectangle in the same position

2. Top right: The L-shape should be flipped horizontally - the long part that's on the left will appear on the right side of the dotted line

3. Middle left: The irregular shape should be flipped horizontally across the vertical dotted line

4. Middle right: The octagon should be reflected so it appears as a mirror image on the other side of the dotted line

5. Bottom left: The complex shape should be flipped horizontally - all the "steps" and turns reverse direction

6. Bottom right: The E-shaped figure should be reflected so it appears backwards (like looking in a mirror) across the dotted line

Key principle: For vertical dotted lines, imagine folding the paper along that line - whatever is on one side should appear exactly mirrored on the other side.