Classify Figures in Property Hierarchy - 5th Grade Math
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What is the definition of a polygon?
What is the definition of a polygon?
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A closed 2D figure made of straight line segments. Must be closed with only straight edges, no curves.
A closed 2D figure made of straight line segments. Must be closed with only straight edges, no curves.
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What is the definition of a quadrilateral?
What is the definition of a quadrilateral?
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A polygon with exactly $4$ sides. The prefix 'quad' means four, referring to the number of sides.
A polygon with exactly $4$ sides. The prefix 'quad' means four, referring to the number of sides.
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What is the definition of a parallelogram?
What is the definition of a parallelogram?
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A quadrilateral with $2$ pairs of parallel sides. Both opposite sides must be parallel to each other.
A quadrilateral with $2$ pairs of parallel sides. Both opposite sides must be parallel to each other.
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What is the definition of a rectangle?
What is the definition of a rectangle?
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A parallelogram with $4$ right angles. All four corners must measure exactly $90^\circ$.
A parallelogram with $4$ right angles. All four corners must measure exactly $90^\circ$.
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What is the definition of a rhombus?
What is the definition of a rhombus?
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A parallelogram with $4$ equal side lengths. All sides have the same length, creating a diamond shape.
A parallelogram with $4$ equal side lengths. All sides have the same length, creating a diamond shape.
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What is the definition of a trapezoid (Grade $5$ definition)?
What is the definition of a trapezoid (Grade $5$ definition)?
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A quadrilateral with at least $1$ pair of parallel sides. Only one pair needs to be parallel, unlike parallelograms.
A quadrilateral with at least $1$ pair of parallel sides. Only one pair needs to be parallel, unlike parallelograms.
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What is the definition of a kite?
What is the definition of a kite?
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A quadrilateral with $2$ pairs of adjacent equal sides. Two pairs of touching sides are equal, like a diamond kite.
A quadrilateral with $2$ pairs of adjacent equal sides. Two pairs of touching sides are equal, like a diamond kite.
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Identify the most specific name: a quadrilateral with at least $1$ pair of parallel sides but not $2$ pairs.
Identify the most specific name: a quadrilateral with at least $1$ pair of parallel sides but not $2$ pairs.
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Trapezoid. Has exactly one pair of parallel sides, not two.
Trapezoid. Has exactly one pair of parallel sides, not two.
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What is the definition of a triangle?
What is the definition of a triangle?
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A polygon with exactly $3$ sides. The prefix 'tri' means three, referring to the number of sides.
A polygon with exactly $3$ sides. The prefix 'tri' means three, referring to the number of sides.
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Which option correctly completes the hierarchy: square $\subset$ ____ $\subset$ parallelogram $\subset$ quadrilateral?
Which option correctly completes the hierarchy: square $\subset$ ____ $\subset$ parallelogram $\subset$ quadrilateral?
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Rectangle. Squares are special rectangles, which are special parallelograms.
Rectangle. Squares are special rectangles, which are special parallelograms.
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Identify the most specific name: a quadrilateral with $2$ pairs of parallel sides, $4$ right angles, and $4$ equal sides.
Identify the most specific name: a quadrilateral with $2$ pairs of parallel sides, $4$ right angles, and $4$ equal sides.
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Square. The only shape with all three properties combined.
Square. The only shape with all three properties combined.
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Identify the most specific name: a quadrilateral with $2$ pairs of parallel sides and $4$ equal sides.
Identify the most specific name: a quadrilateral with $2$ pairs of parallel sides and $4$ equal sides.
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Rhombus. Has all parallelogram properties plus the specific equal sides.
Rhombus. Has all parallelogram properties plus the specific equal sides.
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Identify the most specific name: a quadrilateral with $2$ pairs of parallel sides and $4$ right angles.
Identify the most specific name: a quadrilateral with $2$ pairs of parallel sides and $4$ right angles.
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Rectangle. Has all parallelogram properties plus the specific right angles.
Rectangle. Has all parallelogram properties plus the specific right angles.
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Which statement is always true: If a figure is a rhombus, then it is a ____?
Which statement is always true: If a figure is a rhombus, then it is a ____?
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Parallelogram. Rhombuses inherit the parallel sides property from parallelograms.
Parallelogram. Rhombuses inherit the parallel sides property from parallelograms.
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Which statement is always true: If a figure is a rectangle, then it is a ____?
Which statement is always true: If a figure is a rectangle, then it is a ____?
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Parallelogram. Rectangles inherit the parallel sides property from parallelograms.
Parallelogram. Rectangles inherit the parallel sides property from parallelograms.
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Which statement is always true: If a figure is a square, then it is a ____?
Which statement is always true: If a figure is a square, then it is a ____?
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Rectangle. Squares have all properties of rectangles plus equal sides.
Rectangle. Squares have all properties of rectangles plus equal sides.
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What is the definition of a right angle?
What is the definition of a right angle?
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An angle measuring exactly $90^\circ$. Forms a perfect corner, like the corner of a square.
An angle measuring exactly $90^\circ$. Forms a perfect corner, like the corner of a square.
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What is the definition of a square?
What is the definition of a square?
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A rectangle with $4$ equal sides (also a rhombus). Combines properties of both rectangles and rhombuses.
A rectangle with $4$ equal sides (also a rhombus). Combines properties of both rectangles and rhombuses.
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Identify the most specific name: a quadrilateral with all $4$ sides equal but not $4$ right angles.
Identify the most specific name: a quadrilateral with all $4$ sides equal but not $4$ right angles.
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Rhombus. Has equal sides but lacks right angles, so not a square.
Rhombus. Has equal sides but lacks right angles, so not a square.
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Which statement is always true: Every rhombus is a square. True or false?
Which statement is always true: Every rhombus is a square. True or false?
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False. Rhombuses don't require right angles.
False. Rhombuses don't require right angles.
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