Here is the completed worksheet with the correct names filled in for each set of properties, along with a clear explanation for each.
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✔ Solution:
#### 1.
Properties:
- Opposite sides equal
- Opposite sides parallel
- 4 right angles
→ Name: Rectangle
*(This matches the definition of a rectangle. Shape A is a rectangle.)*
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#### 2.
Properties:
- All sides equal
- Opposite sides parallel
- Diagonals cross at right angles
- No right angles
→ Name: Rhombus
*(A rhombus has all sides equal and opposite sides parallel. Its diagonals bisect at 90°, but it doesn’t have right angles unless it’s a square. Shape D or G could be rhombi — but since G is labeled separately and H is a kite, D fits best here as a typical rhombus.)*
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#### 3.
Properties:
- All sides equal
- Opposite sides parallel
- 4 right angles
- Diagonals cross at right angles
→ Name: Square
*(A square is a special rectangle and rhombus — it has all sides equal, all angles 90°, and diagonals intersect at right angles. Shape C is a square.)*
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#### 4.
Properties:
- 2 pairs of equal adjacent sides
- Diagonals cross at right angles
→ Name: Kite
*(A kite has two distinct pairs of adjacent sides that are equal. Its diagonals intersect at 90°. Shape H is a classic kite shape.)*
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#### 5.
Properties:
- 1 pair of parallel lines
→ Name: Trapezium
*(In UK English, a trapezium is a quadrilateral with exactly one pair of parallel sides. Shape F is a trapezium.)*
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#### 6.
Properties:
- Opposite sides are equal
- 2 pairs of parallel sides
- No right angles
→ Name: Parallelogram
*(A parallelogram has both pairs of opposite sides equal and parallel. If it has no right angles, it’s not a rectangle or square. Shape G is a slanted parallelogram without right angles.)*
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📌 Final Answers (in order from top to bottom):
1.
Rectangle
2.
Rhombus
3.
Square
4.
Kite
5.
Trapezium
6.
Parallelogram
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🔍 Matching Shapes (for reference):
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F → Trapezium
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D → Rhombus
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C → Square
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A → Rectangle
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G → Parallelogram
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H → Kite
*(Note: The worksheet doesn’t ask you to match letters, but it helps to visualize.)*
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✔ All properties correctly matched to quadrilateral names!
This exercise reinforces understanding of key geometric properties that define each quadrilateral type.
Parent Tip: Review the logic above to help your child master the concept of worksheet on quadrilaterals.