This worksheet challenges students to identify and draw the lines of symmetry for sixteen different geometric shapes and symbols.
Symmetry sheet 2 worksheet with instructions to draw lines of symmetry on various geometric shapes like hearts, stars, and arrows.
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Step-by-step solution for: Lines of symmetry and Rotational Symmetry - Worksheets and Answers ...
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Show Answer Key & Explanations
Step-by-step solution for: Lines of symmetry and Rotational Symmetry - Worksheets and Answers ...
To solve the problem of identifying and drawing the lines of symmetry on these shapes, we need to determine where a shape can be folded such that both halves match perfectly. Here's a step-by-step explanation for each shape:
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1. Square (Rectangle):
- A square has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
2. Heart:
- A heart has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
3. Cross with Arrows:
- This shape has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
4. Trapezoid:
- A trapezoid with equal non-parallel sides has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
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5. Parallelogram:
- A generic parallelogram has 0 lines of symmetry unless it is a special case like a rectangle or rhombus.
- No lines of symmetry.
6. Arrow (Pointing Up):
- This arrow has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
7. L-shaped Figure:
- This shape has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
8. Irregular Pentagon:
- This irregular pentagon has 0 lines of symmetry.
- No lines of symmetry.
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9. Curved Arrow:
- This shape has 0 lines of symmetry.
- No lines of symmetry.
10. Wavy Line:
- This shape has 0 lines of symmetry.
- No lines of symmetry.
11. Pentagon:
- A regular pentagon has 5 lines of symmetry.
- Draw 5 lines connecting each vertex to the midpoint of the opposite side.
12. Diamond (Rhombus):
- A diamond has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
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13. Star:
- A regular star (pentagram) has 5 lines of symmetry.
- Draw 5 lines connecting each point to the midpoint of the opposite side.
14. Hexagon:
- A regular hexagon has 6 lines of symmetry: three vertical, three horizontal.
- Draw three vertical lines, three horizontal lines, and three diagonal lines.
15. Square with Rounded Corners:
- This shape has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
16. Plus Sign (+):
- This shape has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
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Here is a summary of the number of lines of symmetry for each shape:
1. Square: 4
2. Heart: 1
3. Cross with Arrows: 4
4. Trapezoid: 1
5. Parallelogram: 0
6. Arrow (Pointing Up): 1
7. L-shaped Figure: 1
8. Irregular Pentagon: 0
9. Curved Arrow: 0
10. Wavy Line: 0
11. Pentagon: 5
12. Diamond: 4
13. Star: 5
14. Hexagon: 6
15. Square with Rounded Corners: 4
16. Plus Sign: 4
$$
\boxed{\text{See explanations above for detailed drawing instructions.}}
$$
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Row 1:
1. Square (Rectangle):
- A square has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
2. Heart:
- A heart has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
3. Cross with Arrows:
- This shape has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
4. Trapezoid:
- A trapezoid with equal non-parallel sides has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
---
Row 2:
5. Parallelogram:
- A generic parallelogram has 0 lines of symmetry unless it is a special case like a rectangle or rhombus.
- No lines of symmetry.
6. Arrow (Pointing Up):
- This arrow has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
7. L-shaped Figure:
- This shape has 1 line of symmetry: vertical.
- Draw a vertical line down the middle.
8. Irregular Pentagon:
- This irregular pentagon has 0 lines of symmetry.
- No lines of symmetry.
---
Row 3:
9. Curved Arrow:
- This shape has 0 lines of symmetry.
- No lines of symmetry.
10. Wavy Line:
- This shape has 0 lines of symmetry.
- No lines of symmetry.
11. Pentagon:
- A regular pentagon has 5 lines of symmetry.
- Draw 5 lines connecting each vertex to the midpoint of the opposite side.
12. Diamond (Rhombus):
- A diamond has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
---
Row 4:
13. Star:
- A regular star (pentagram) has 5 lines of symmetry.
- Draw 5 lines connecting each point to the midpoint of the opposite side.
14. Hexagon:
- A regular hexagon has 6 lines of symmetry: three vertical, three horizontal.
- Draw three vertical lines, three horizontal lines, and three diagonal lines.
15. Square with Rounded Corners:
- This shape has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
16. Plus Sign (+):
- This shape has 4 lines of symmetry: two vertical, two horizontal.
- Draw one vertical line through the center, one horizontal line through the center, and two diagonal lines from corner to corner.
---
Final Answer:
Here is a summary of the number of lines of symmetry for each shape:
1. Square: 4
2. Heart: 1
3. Cross with Arrows: 4
4. Trapezoid: 1
5. Parallelogram: 0
6. Arrow (Pointing Up): 1
7. L-shaped Figure: 1
8. Irregular Pentagon: 0
9. Curved Arrow: 0
10. Wavy Line: 0
11. Pentagon: 5
12. Diamond: 4
13. Star: 5
14. Hexagon: 6
15. Square with Rounded Corners: 4
16. Plus Sign: 4
$$
\boxed{\text{See explanations above for detailed drawing instructions.}}
$$
Parent Tip: Review the logic above to help your child master the concept of line and rotational symmetry worksheet.