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Grade 5, IM Unit 7B: The Hierarchy of Shapes
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What are the properties (defining characteristics) of a rectangle?
A rectangle is a quadrilateral with 2 pairs of parallel sides and 4 right angles. The pairs of sides are congruent (same shape, same size).
What are the properties (defining characteristics) of a trapezoid?
A trapezoid is a quadrilateral with 1 pair of parallel sides.
What are the properties (defining characteristics) of a parallelogram?
A parallelogram is a quadrilateral with 2 pairs of parallel sides.
What are the properties (defining characteristics) of a rhombus?
A rhombus has 2 pairs of parallel sides. All sides are congruent (same shape, same size).
What are the properties (defining characteristics) of a square?
A square has 2 pairs of parallel sides and 4 right angles. All sides are congruent (same shape, same size).
A rhombus is [always, sometimes, or never] a square.
A rhombus is SOMETIMES a square.
A square is [always, sometimes, or never] a rhombus.
A square is ALWAYS a rhombus.
A triangle is [always, sometimes, or never] a quadrilateral.
A triangle is NEVER a quadrilateral.
A square is [always, sometimes, or never] a rectangle.
A square is ALWAYS a rectangle.
A rectangle is [always, sometimes, or never] a parallelogram.
A rectangle is ALWAYS a parallelogram.
A parallelogram is [always, sometimes, or never] a rhombus.
A parallelogram is SOMETIMES a rhombus.
A trapezoid is [always, sometimes, or never] a parallelogram,
A trapezoid is NEVER a parallelogram.
True or False: A parallelogram is sometimes a rhombus.
True. When the four sides of a parallelogram are congruent, then it is a rhombus.
True or False: A rhombus is always a parallelogram.
True. The opposite sides of a rhombus are always parallel lines.
True or False: A rectangle is never a square.
False. A rectangle is a square when it has 4 equal sides.
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