To solve the problem, we need to determine whether each given line is a
line of symmetry for the corresponding shape. A line of symmetry divides a shape into two identical halves that are mirror images of each other.
Let's analyze each shape and its line(s) one by one:
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1. Rectangle
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Shape: A rectangle.
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Line: Vertical dashed line through the center.
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Analysis: The vertical line divides the rectangle into two identical halves. Each half is a mirror image of the other.
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Conclusion:
Yes, it is a line of symmetry.
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2. Diamond (Rhombus)
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Shape: A diamond (rhombus).
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Line: Diagonal dashed line.
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Analysis: The diagonal line divides the rhombus into two identical triangular halves. Each half is a mirror image of the other.
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Conclusion:
Yes, it is a line of symmetry.
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3. Star
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Shape: A five-pointed star.
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Line: Horizontal dashed line.
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Analysis: The horizontal line does not divide the star into two identical halves. The top and bottom portions are not mirror images of each other.
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Conclusion:
No, it is not a line of symmetry.
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4. Cross
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Shape: A cross.
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Line: Vertical dashed line.
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Analysis: The vertical line divides the cross into two identical halves. Each half is a mirror image of the other.
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Conclusion:
Yes, it is a line of symmetry.
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5. Key
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Shape: A key.
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Line: Vertical dashed line.
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Analysis: The vertical line does not divide the key into two identical halves. The left and right sides are not mirror images of each other.
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Conclusion:
No, it is not a line of symmetry.
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6. Octagon
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Shape: A regular octagon.
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Line: Horizontal dashed line.
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Analysis: The horizontal line divides the octagon into two identical halves. Each half is a mirror image of the other.
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Conclusion:
Yes, it is a line of symmetry.
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7. Arrow
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Shape: An arrow.
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Line: Horizontal dashed line.
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Analysis: The horizontal line does not divide the arrow into two identical halves. The top and bottom portions are not mirror images of each other.
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Conclusion:
No, it is not a line of symmetry.
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Final Answers:
1. Rectangle:
Yes
2. Diamond:
Yes
3. Star:
No
4. Cross:
Yes
5. Key:
No
6. Octagon:
Yes
7. Arrow:
No
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Boxed Answer:
\[
\boxed{\text{Yes, Yes, No, Yes, No, Yes, No}}
\]
Parent Tip: Review the logic above to help your child master the concept of lines of symmetry worksheet.
