Grade 6 math worksheet on reflection, with six grid-based exercises for students to reflect shapes across dotted lines.
A Grade 6 math worksheet titled "Reflection" from Grade1to6.com, featuring six grid-based exercises where students reflect various shapes across dotted lines.
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Show Answer Key & Explanations
Step-by-step solution for: Reflection Worksheets | Grade 6
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Show Answer Key & Explanations
Step-by-step solution for: Reflection Worksheets | Grade 6
The worksheet asks you to reflect each shape across the dotted line (which acts as a mirror line). Reflection means creating a mirror image of the shape on the opposite side of the dotted line, maintaining equal distance from the line.
Let’s go through each shape one by one and explain how to reflect it.
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- The rectangle is drawn on a grid with a vertical dotted line running through its center.
- Since the line is in the middle, the reflection will be a mirror image on the right side.
- Each point on the left side has a corresponding point the same distance to the right of the line.
- ✔ Result: The reflected shape will be an identical rectangle on the right side of the dotted line.
> ✔️ Draw the rectangle symmetrically across the vertical dotted line.
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- The L-shape is on the left side of a vertical dotted line.
- To reflect it:
- Find the distance of each corner from the dotted line.
- Plot the same distance on the other side.
- For example, if a corner is 2 dots to the left of the line, place a point 2 dots to the right.
- ✔ Result: The reflected L-shape will appear on the right side, mirrored perfectly.
> ✔️ Reflect each vertex across the dotted line to form the mirror image.
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- This is a right triangle with vertices at the bottom-left, top-left, and bottom-right.
- It's positioned to the left of a vertical dotted line.
- Reflect each vertex:
- The bottom-left corner → move same distance to the right.
- Top-left → mirror across.
- Bottom-right → also mirrored.
- ✔ Result: A mirror image of the triangle appears on the right side of the line.
> ✔️ The reflected triangle will have the same size and shape but flipped horizontally.
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- This is a regular octagon (or near-regular) placed on the left of a vertical dotted line.
- The dotted line runs through the center vertically.
- Reflect each vertex across the line.
- Since it's symmetrical, the reflection will look like a copy on the right side.
- ✔ Result: An identical octagon appears on the right, mirrored.
> ✔️ Mirror each point across the vertical line to complete the reflection.
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- This shape is complex, made of horizontal and vertical segments.
- It lies to the left of a vertical dotted line.
- Reflect each corner:
- Count how many dots away each point is from the line.
- Place the reflected point the same distance on the right.
- ✔ Result: The reflected shape will be a mirror image on the right, preserving all angles and distances.
> ✔️ Carefully plot each point symmetrically across the line.
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- This shape resembles the letter "E" and is on the left of a vertical dotted line.
- Reflect each segment:
- The top, middle, and bottom horizontal bars must be mirrored.
- Vertical connections are also reflected.
- ✔ Result: The mirrored "E" appears on the right side, flipped horizontally.
> ✔️ The reflected shape should look like a mirror version of the original.
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1. Identify the dotted line (mirror line).
2. For each vertex (corner) of the shape:
- Measure the horizontal distance from the point to the line.
- On the other side, mark a point the same distance from the line.
3. Connect the reflected points in the same order.
4. The new shape should be congruent (same size and shape) but flipped.
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You need to draw the mirror image of each shape across the dotted line by reflecting every point across that line. The reflected shapes will be:
- Symmetric to the original.
- Same size and shape.
- Positioned on the opposite side of the dotted line.
> 💡 Tip: Use a ruler or count grid points to ensure accuracy.
Since I can't draw directly here, your task is to manually draw the reflections using the above method.
Let me know if you'd like me to describe the exact coordinates for any specific shape!
Let’s go through each shape one by one and explain how to reflect it.
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🔹 Shape 1 (Top Left): Rectangle
- The rectangle is drawn on a grid with a vertical dotted line running through its center.
- Since the line is in the middle, the reflection will be a mirror image on the right side.
- Each point on the left side has a corresponding point the same distance to the right of the line.
- ✔ Result: The reflected shape will be an identical rectangle on the right side of the dotted line.
> ✔️ Draw the rectangle symmetrically across the vertical dotted line.
---
🔹 Shape 2 (Top Right): L-shaped figure
- The L-shape is on the left side of a vertical dotted line.
- To reflect it:
- Find the distance of each corner from the dotted line.
- Plot the same distance on the other side.
- For example, if a corner is 2 dots to the left of the line, place a point 2 dots to the right.
- ✔ Result: The reflected L-shape will appear on the right side, mirrored perfectly.
> ✔️ Reflect each vertex across the dotted line to form the mirror image.
---
🔹 Shape 3 (Middle Left): Right triangle
- This is a right triangle with vertices at the bottom-left, top-left, and bottom-right.
- It's positioned to the left of a vertical dotted line.
- Reflect each vertex:
- The bottom-left corner → move same distance to the right.
- Top-left → mirror across.
- Bottom-right → also mirrored.
- ✔ Result: A mirror image of the triangle appears on the right side of the line.
> ✔️ The reflected triangle will have the same size and shape but flipped horizontally.
---
🔹 Shape 4 (Middle Right): Octagon (8-sided shape)
- This is a regular octagon (or near-regular) placed on the left of a vertical dotted line.
- The dotted line runs through the center vertically.
- Reflect each vertex across the line.
- Since it's symmetrical, the reflection will look like a copy on the right side.
- ✔ Result: An identical octagon appears on the right, mirrored.
> ✔️ Mirror each point across the vertical line to complete the reflection.
---
🔹 Shape 5 (Bottom Left): Zigzag or "S"-like shape
- This shape is complex, made of horizontal and vertical segments.
- It lies to the left of a vertical dotted line.
- Reflect each corner:
- Count how many dots away each point is from the line.
- Place the reflected point the same distance on the right.
- ✔ Result: The reflected shape will be a mirror image on the right, preserving all angles and distances.
> ✔️ Carefully plot each point symmetrically across the line.
---
🔹 Shape 6 (Bottom Right): Letter "E"-like shape
- This shape resembles the letter "E" and is on the left of a vertical dotted line.
- Reflect each segment:
- The top, middle, and bottom horizontal bars must be mirrored.
- Vertical connections are also reflected.
- ✔ Result: The mirrored "E" appears on the right side, flipped horizontally.
> ✔️ The reflected shape should look like a mirror version of the original.
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✔ General Steps for Reflection:
1. Identify the dotted line (mirror line).
2. For each vertex (corner) of the shape:
- Measure the horizontal distance from the point to the line.
- On the other side, mark a point the same distance from the line.
3. Connect the reflected points in the same order.
4. The new shape should be congruent (same size and shape) but flipped.
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🎯 Final Answer:
You need to draw the mirror image of each shape across the dotted line by reflecting every point across that line. The reflected shapes will be:
- Symmetric to the original.
- Same size and shape.
- Positioned on the opposite side of the dotted line.
> 💡 Tip: Use a ruler or count grid points to ensure accuracy.
Since I can't draw directly here, your task is to manually draw the reflections using the above method.
Let me know if you'd like me to describe the exact coordinates for any specific shape!
Parent Tip: Review the logic above to help your child master the concept of reflections math worksheet.
