Problem Analysis:
The worksheet focuses on the concept of
symmetry, specifically identifying and drawing lines of symmetry. Let's break it down into the three sections:
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Section 1: Identify Lines of Symmetry
The task is to determine whether the dotted lines in each shape represent a line of symmetry. A
line of symmetry is a line that divides a shape into two identical halves, such that one half is the mirror image of the other.
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Shape 1 (Candy):
- The dotted line does not divide the candy into two identical halves. The left and right sides are different.
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Answer: NO
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Shape 2 (Hexagon):
- The dotted line divides the hexagon into two identical halves. Both sides are mirror images.
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Answer: YES
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Shape 3 (Arrow):
- The dotted line does not divide the arrow into two identical halves. The top and bottom parts are different.
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Answer: NO
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Shape 4 (Star):
- The dotted line divides the star into two identical halves. Both sides are mirror images.
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Answer: YES
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Section 2: Draw a Line of Symmetry
The task is to draw a line of symmetry on each shape. A shape has a line of symmetry if it can be folded along a line such that both halves match perfectly.
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Shape 1 (Circle):
- A circle has infinite lines of symmetry. Any straight line passing through its center is a line of symmetry. Draw a vertical or horizontal line through the center.
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Shape 2 (Star):
- A regular star (pentagram) has 5 lines of symmetry. Draw a line from one point to the opposite point.
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Shape 3 (Flower-like Shape):
- This shape has a vertical line of symmetry. Draw a vertical line through the center.
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Shape 4 (Rectangle with an Extension):
- This shape has a vertical line of symmetry. Draw a vertical line through the center.
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Section 3: Complete the Symmetric Shapes
The task is to draw the missing half of each shape so that it becomes symmetric about the given dotted line.
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Shape 1:
- The dotted line is vertical. Reflect the given half across this line to complete the shape. The completed shape will be a semicircle.
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Shape 2:
- The dotted line is vertical. Reflect the given half across this line to complete the shape. The completed shape will be a curved figure resembling a "U" with a tail.
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Shape 3:
- The dotted line is vertical. Reflect the given half across this line to complete the shape. The completed shape will be a symmetrical "L"-like figure.
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Shape 4:
- The dotted line is horizontal. Reflect the given half across this line to complete the shape. The completed shape will be an isosceles triangle.
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Final Answers:
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Section 1: Identify Lines of Symmetry
1. Candy:
NO
2. Hexagon:
YES
3. Arrow:
NO
4. Star:
YES
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Section 2: Draw a Line of Symmetry
- Circle: Draw a vertical or horizontal line through the center.
- Star: Draw a line from one point to the opposite point.
- Flower-like Shape: Draw a vertical line through the center.
- Rectangle with an Extension: Draw a vertical line through the center.
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Section 3: Complete the Symmetric Shapes
- For each shape, reflect the given half across the dotted line to complete the symmetric figure.
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Final Boxed Answer:
\[
\boxed{\text{See explanations above for detailed solutions.}}
\]
Parent Tip: Review the logic above to help your child master the concept of symmetrical pattern worksheet ks1.
