Problem Analysis:
The task appears to involve identifying a specific pattern or property among the given shapes. Since no explicit task is stated in the image, I will assume the goal is to identify which shapes have
line symmetry (also known as reflection symmetry). This is a common type of problem involving geometric shapes.
Step-by-Step Solution:
#### 1.
Understanding Line Symmetry:
- A shape has line symmetry if it can be divided into two identical halves by at least one straight line (the axis of symmetry).
- The two halves must be mirror images of each other.
#### 2.
Analyzing Each Shape:
-
(a) Rectangle:
- A rectangle has two axes of symmetry: one vertical and one horizontal.
- It can be divided into two identical halves both vertically and horizontally.
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Conclusion: Has line symmetry.
-
(b) Square:
- A square has four axes of symmetry: two vertical/horizontal and two diagonal.
- It can be divided into two identical halves in multiple ways.
-
Conclusion: Has line symmetry.
-
(c) Rhombus:
- A rhombus has two axes of symmetry: along its diagonals.
- It can be divided into two identical halves diagonally.
-
Conclusion: Has line symmetry.
-
(d) Star:
- A star (assuming it is a regular star) typically has multiple axes of symmetry, depending on the number of points.
- For a five-pointed star, there are five axes of symmetry.
-
Conclusion: Has line symmetry.
-
(e) Semicircle:
- A semicircle has one axis of symmetry: the vertical line passing through its diameter.
- It can be divided into two identical halves vertically.
-
Conclusion: Has line symmetry.
-
(f) Parallelogram:
- A general parallelogram does not have any axes of symmetry unless it is a special case (like a rectangle, rhombus, or square).
- A typical parallelogram cannot be divided into two identical halves by any straight line.
-
Conclusion: Does not have line symmetry.
-
(g) Trapezoid:
- A general trapezoid does not have any axes of symmetry unless it is an isosceles trapezoid.
- An isosceles trapezoid has one axis of symmetry (vertical).
- Since this trapezoid does not appear to be isosceles, it likely has no symmetry.
-
Conclusion: Does not have line symmetry.
-
(h) Recycle Symbol:
- The recycle symbol is a triangular arrangement of three arrows.
- It does not have any axes of symmetry because it cannot be divided into two identical halves by any straight line.
-
Conclusion: Does not have line symmetry.
-
(i) Letter "H":
- The letter "H" has two axes of symmetry: one vertical and one horizontal.
- It can be divided into two identical halves both vertically and horizontally.
-
Conclusion: Has line symmetry.
#### 3.
Summary of Results:
- Shapes with line symmetry: (a), (b), (c), (d), (e), (i)
- Shapes without line symmetry: (f), (g), (h)
Final Answer:
The shapes that have line symmetry are:
\[
\boxed{(a), (b), (c), (d), (e), (i)}
\]
Parent Tip: Review the logic above to help your child master the concept of line and rotational symmetry worksheet.
