Drawing Lines of Symmetry worksheet | Grade1to6 - Free Printable
Educational worksheet: Drawing Lines of Symmetry worksheet | Grade1to6. Download and print for classroom or home learning activities.
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Step-by-step solution for: Drawing Lines of Symmetry worksheet | Grade1to6
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Show Answer Key & Explanations
Step-by-step solution for: Drawing Lines of Symmetry worksheet | Grade1to6
The worksheet you've uploaded is a Grade 5 Maths exercise on Symmetry, where the task is to draw the other half of each symmetrical shape given a line of symmetry (a vertical line in all cases).
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Each shape is drawn on a dot grid, with a vertical line of symmetry (a solid line down the middle). The left side of each shape is already drawn, and your job is to mirror it perfectly across the line of symmetry to complete the full symmetrical figure.
To do this:
1. Identify key points (vertices) on the left side.
2. Count how many dots horizontally from the line of symmetry to each point.
3. On the right side, plot the same distance from the line but in the opposite direction.
4. Connect the mirrored points to complete the shape.
Let’s go through each one and explain how to draw the missing half.
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#### a. Right Triangle
- Left side: A right triangle with base 4 units and height 4 units.
- Mirror it across the line → Draw an identical triangle on the right.
- Result: A square split diagonally into two triangles.
> ✔ Draw a triangle on the right side matching the left.
---
#### b. Star-like Shape
- Left side has jagged edges forming a star pattern.
- Use dot counting: For each vertex, count its horizontal distance from the line of symmetry.
- Reflect each point to the right side.
- Connect them in order.
> ✔ Mirror each corner across the line to form a symmetric star.
---
#### c. "M" Shape
- Looks like a capital M on the left.
- It's symmetric about the central line.
- Mirror each peak and valley across the line.
> ✔ Draw the mirror image of the "M" on the right side.
---
#### d. Complex Zigzag Shape
- This is a tall, narrow shape with zigzags.
- Carefully trace each segment from the left and reflect it to the right.
- Pay attention to the angles and lengths.
> ✔ Reflect each bend across the line to create a symmetrical outline.
---
#### e. U-Shaped Figure
- The left side shows a U-shape with a straight top and bottom.
- The right side must be mirrored exactly.
- Note: The shape is not closed on the right — extend it symmetrically.
> ✔ Complete the U-shape by mirroring the left side.
---
#### f. Letter "K"-like Shape
- Left side looks like a K.
- The vertical bar and diagonal strokes are present.
- Mirror the diagonal lines and horizontal bar.
> ✔ Draw the mirror image of the "K" on the right side.
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#### g. Circle + Square
- Left side has a circle and a square touching each other.
- The circle is partially visible; the square is complete.
- The circle should be fully drawn across the line.
- The square must be mirrored.
> ✔ Draw a full circle and a mirrored square on the right.
---
#### h. Butterfly or Hourglass Shape
- The left side has two triangular wings pointing inward.
- Mirror each wing to the right.
- The center is a horizontal line.
> ✔ Draw identical wings on the right to complete the butterfly.
---
#### i. Arrowhead (Triangle)
- Left side is a large triangle pointing to the right.
- This is already symmetric — but only half is shown.
- Complete it by drawing the mirror image of the triangle on the right.
> ✔ Draw the reflected triangle to make a full diamond-like shape.
---
- Use the dot grid as a guide.
- Count how many dots away each point is from the line.
- For example, if a point is 2 dots to the left of the line, place the mirror point 2 dots to the right.
- Keep lines straight and connected properly.
---
You need to draw the mirror image of each shape across the vertical line of symmetry. Here's what the completed shapes will look like:
| Letter | Shape Type | Completed Form |
|--------|------------------------|----------------------------|
| a | Right triangle | Full square (diagonal cut) |
| b | Star | Symmetric star |
| c | "M" | Full "M" |
| d | Zigzag | Symmetric zigzag |
| e | U-shape | Full U-shape |
| f | "K" | Full "K" |
| g | Circle + Square | Full circle + full square |
| h | Butterfly | Symmetric butterfly |
| i | Arrowhead (triangle) | Diamond (two triangles) |
---
Since I can't draw directly here, here’s how to do it:
1. Pick a point on the left.
2. Measure its horizontal distance from the line.
3. Find the same distance on the right side.
4. Mark that point.
5. Repeat for all vertices.
6. Connect the dots in the same order.
This process ensures perfect symmetry.
---
Would you like me to generate a visual description or text-based representation of the completed shapes? Or perhaps help you practice one specific example step-by-step?
---
🔍 Understanding the Task
Each shape is drawn on a dot grid, with a vertical line of symmetry (a solid line down the middle). The left side of each shape is already drawn, and your job is to mirror it perfectly across the line of symmetry to complete the full symmetrical figure.
To do this:
1. Identify key points (vertices) on the left side.
2. Count how many dots horizontally from the line of symmetry to each point.
3. On the right side, plot the same distance from the line but in the opposite direction.
4. Connect the mirrored points to complete the shape.
Let’s go through each one and explain how to draw the missing half.
---
✔ Step-by-Step Solution Guide
#### a. Right Triangle
- Left side: A right triangle with base 4 units and height 4 units.
- Mirror it across the line → Draw an identical triangle on the right.
- Result: A square split diagonally into two triangles.
> ✔ Draw a triangle on the right side matching the left.
---
#### b. Star-like Shape
- Left side has jagged edges forming a star pattern.
- Use dot counting: For each vertex, count its horizontal distance from the line of symmetry.
- Reflect each point to the right side.
- Connect them in order.
> ✔ Mirror each corner across the line to form a symmetric star.
---
#### c. "M" Shape
- Looks like a capital M on the left.
- It's symmetric about the central line.
- Mirror each peak and valley across the line.
> ✔ Draw the mirror image of the "M" on the right side.
---
#### d. Complex Zigzag Shape
- This is a tall, narrow shape with zigzags.
- Carefully trace each segment from the left and reflect it to the right.
- Pay attention to the angles and lengths.
> ✔ Reflect each bend across the line to create a symmetrical outline.
---
#### e. U-Shaped Figure
- The left side shows a U-shape with a straight top and bottom.
- The right side must be mirrored exactly.
- Note: The shape is not closed on the right — extend it symmetrically.
> ✔ Complete the U-shape by mirroring the left side.
---
#### f. Letter "K"-like Shape
- Left side looks like a K.
- The vertical bar and diagonal strokes are present.
- Mirror the diagonal lines and horizontal bar.
> ✔ Draw the mirror image of the "K" on the right side.
---
#### g. Circle + Square
- Left side has a circle and a square touching each other.
- The circle is partially visible; the square is complete.
- The circle should be fully drawn across the line.
- The square must be mirrored.
> ✔ Draw a full circle and a mirrored square on the right.
---
#### h. Butterfly or Hourglass Shape
- The left side has two triangular wings pointing inward.
- Mirror each wing to the right.
- The center is a horizontal line.
> ✔ Draw identical wings on the right to complete the butterfly.
---
#### i. Arrowhead (Triangle)
- Left side is a large triangle pointing to the right.
- This is already symmetric — but only half is shown.
- Complete it by drawing the mirror image of the triangle on the right.
> ✔ Draw the reflected triangle to make a full diamond-like shape.
---
📌 Tips for Accuracy
- Use the dot grid as a guide.
- Count how many dots away each point is from the line.
- For example, if a point is 2 dots to the left of the line, place the mirror point 2 dots to the right.
- Keep lines straight and connected properly.
---
✔ Final Answer Summary
You need to draw the mirror image of each shape across the vertical line of symmetry. Here's what the completed shapes will look like:
| Letter | Shape Type | Completed Form |
|--------|------------------------|----------------------------|
| a | Right triangle | Full square (diagonal cut) |
| b | Star | Symmetric star |
| c | "M" | Full "M" |
| d | Zigzag | Symmetric zigzag |
| e | U-shape | Full U-shape |
| f | "K" | Full "K" |
| g | Circle + Square | Full circle + full square |
| h | Butterfly | Symmetric butterfly |
| i | Arrowhead (triangle) | Diamond (two triangles) |
---
🎯 How to Draw Them
Since I can't draw directly here, here’s how to do it:
1. Pick a point on the left.
2. Measure its horizontal distance from the line.
3. Find the same distance on the right side.
4. Mark that point.
5. Repeat for all vertices.
6. Connect the dots in the same order.
This process ensures perfect symmetry.
---
Would you like me to generate a visual description or text-based representation of the completed shapes? Or perhaps help you practice one specific example step-by-step?
Parent Tip: Review the logic above to help your child master the concept of drawing symmetry worksheet.
