Grade 5 Reflection Math Worksheet - Draw the reflection of shapes on a grid.

Understanding the Task

This worksheet asks you to draw the reflection of each given shape across a red line (the line of reflection). Reflection means creating a mirror image of the shape on the opposite side of the line.

The red lines are either vertical or horizontal, and you must reflect each shape across that line. The key is to measure the distance from each vertex (corner) of the shape to the red line, then mark the same distance on the other side of the line.

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Let’s go through each problem step-by-step:

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1. Rectangle (Top Left)

- The rectangle is on the left side of the vertical red line.
- It spans 3 units wide and 2 units tall.
- Distance from the rectangle to the red line: 2 units to the right.
- To reflect it:
- Draw the same rectangle 2 units to the right of the red line.
- So, the reflected rectangle will be on the right side of the red line, same size and orientation.

✔ Reflection: A rectangle of size 3×2 drawn 2 squares to the right of the red line.

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2. Irregular Shape (Like a Cross)

- This shape has 5 squares arranged like a cross.
- It is located on the right side of the vertical red line.
- The center square is 1 unit to the right of the red line.
- To reflect:
- For each square, measure how far it is from the red line, and place a square the same distance on the left side.
- For example:
- The center square is 1 unit right → its reflection is 1 unit left.
- Top square is 2 units up and 1 unit right → reflection is 1 unit left and 2 units up.
- Reflect all five squares accordingly.

✔ Reflection: Mirror image of the cross on the left side of the red line.

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3. Triangle

- The triangle is on the right side of the vertical red line.
- It's an isosceles triangle with base on the bottom.
- The leftmost point of the triangle is 1 unit to the right of the red line.
- The apex is 2 units above the base.
- To reflect:
- Measure each vertex's distance to the red line.
- Place the reflected vertices the same distance on the left side.
- For example:
- Left vertex: 1 unit right → reflection is 1 unit left.
- Right vertex: 3 units right → reflection is 3 units left.
- Apex: 2 units above, 2 units right → reflection is 2 units left and 2 units up.

✔ Reflection: A mirror triangle on the left side, symmetric across the red line.

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4. L-shaped Figure

- This is an L-shape made of 6 squares.
- Located on the right side of the vertical red line.
- The top-left corner of the L is 1 unit to the right of the red line.
- To reflect:
- Each square should have its reflection placed the same distance on the left side.
- Count how many squares away each part is and mirror it.

✔ Reflection: Mirror L-shape on the left side of the red line.

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5. Diamond (Rhombus)

- The diamond is centered around the horizontal red line.
- Its top point is 2 units above the red line.
- Bottom point is 2 units below.
- Left and right points are 2 units from the red line horizontally.
- Since the red line is horizontal, the reflection will be above and below.
- But since the diamond is symmetrical about the horizontal line, its reflection will look identical but flipped vertically.
- However, because it's already symmetrical, the reflection will overlap with itself.

Wait — actually, the red line is vertical here (check the grid), so we reflect horizontally.

- The diamond is centered on the vertical red line? Let's check:
- The diamond has a point at (say) column 5, row 7; another at column 7, row 8, etc.
- Actually, if the red line is vertical, and the diamond is to the left of it, then:
- The diamond is entirely to the left of the red line.
- So, reflect each vertex to the right side of the line.

✔ Reflection: Mirror diamond on the right side of the red line, same size and shape.

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6. Step-like Shape (Staircase)

- This is a shape resembling a staircase, made of 4 squares.
- Located on the right side of the vertical red line.
- The bottom-left corner is 1 unit to the right of the red line.
- To reflect:
- Each square is mirrored across the red line.
- So, the reflected shape will appear on the left side, same structure but reversed.

✔ Reflection: Staircase on the left side, same height and width, mirrored.

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✔ General Rule for Reflections:

1. Identify the line of reflection (red line).
2. For each vertex of the shape:
- Count how many grid squares it is from the line.
- On the other side of the line, mark a point the same number of squares away.
3. Connect the reflected points in the same order as the original.

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Final Answer Summary:

| Problem | Reflection Description |
|--------|------------------------|
| 1 | Rectangle reflected to the right of the red line |
| 2 | Cross-shaped figure reflected to the left |
| 3 | Triangle reflected to the left |
| 4 | L-shape reflected to the left |
| 5 | Diamond reflected to the right |
| 6 | Staircase reflected to the left |

> 🖋️ You would draw these reflections by plotting the mirrored points and connecting them with straight lines.

Would you like me to provide a visual description or sketch instructions for one of them?