To solve the problem, we need to identify the type of quadrilateral for each shape provided in the image. Let's analyze each shape step by step:
Step 1: Understand the Definitions
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Rectangle: A quadrilateral with four right angles (90°) and opposite sides that are equal.
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Rhombus: A quadrilateral with all four sides of equal length.
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Square: A quadrilateral with all four sides of equal length and all four angles of 90°.
Step 2: Analyze Each Shape
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Shape 1:
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Description: All sides are 5 inches.
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Analysis:
- All sides are equal.
- All angles are 90° (implied by the square shape).
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Conclusion: This is a
Square.
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Answer: Check the box for
Square.
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Shape 2:
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Description: Opposite sides are equal (3 ft and 6 ft).
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Analysis:
- Opposite sides are equal.
- All angles are 90° (implied by the rectangular shape).
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Conclusion: This is a
Rectangle.
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Answer: Check the box for
Rectangle.
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Shape 3:
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Description: All sides are 5 inches.
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Analysis:
- All sides are equal.
- Angles are not 90° (it is a diamond shape).
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Conclusion: This is a
Rhombus.
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Answer: Check the box for
Rhombus.
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Shape 4:
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Description: All sides are 3 feet.
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Analysis:
- All sides are equal.
- Angles are not 90° (it is a diamond shape).
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Conclusion: This is a
Rhombus.
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Answer: Check the box for
Rhombus.
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Shape 5:
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Description: Opposite sides are equal (3 cm and 5 cm).
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Analysis:
- Opposite sides are equal.
- All angles are 90° (implied by the rectangular shape).
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Conclusion: This is a
Rectangle.
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Answer: Check the box for
Rectangle.
Final Answer:
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Shape 1: Square
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Shape 2: Rectangle
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Shape 3: Rhombus
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Shape 4: Rhombus
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Shape 5: Rectangle
\[
\boxed{
\begin{array}{c|ccc}
& \text{Rectangle} & \text{Rhombus} & \text{Square} \\
\hline
\text{Shape 1} & & & \checkmark \\
\text{Shape 2} & \checkmark & & \\
\text{Shape 3} & & \checkmark & \\
\text{Shape 4} & & \checkmark & \\
\text{Shape 5} & \checkmark & & \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of quadrilateral shapes worksheet.
