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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 square?
    A square has 2 pairs of parallel sides and 4 right angles. All sides are congruent (same shape, same size).
  • A square is [always, sometimes, or never] a rhombus.
    A square is ALWAYS a rhombus.
  • 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 rhombus?
    A rhombus has 2 pairs of parallel sides. All sides are congruent (same shape, same size).
  • A parallelogram is [always, sometimes, or never] a rhombus.
    A parallelogram is SOMETIMES a rhombus.
  • True or False: A rectangle is never a square.
    False. A rectangle is a square when it has 4 equal sides.
  • 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 triangle is [always, sometimes, or never] a quadrilateral.
    A triangle is NEVER a quadrilateral.
  • True or False: A rhombus is always a parallelogram.
    True. The opposite sides of a rhombus are always parallel lines.
  • A trapezoid is [always, sometimes, or never] a parallelogram,
    A trapezoid is NEVER a parallelogram.
  • 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 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).
  • A rhombus is [always, sometimes, or never] a square.
    A rhombus is SOMETIMES a square.
  • True or False: A parallelogram is sometimes a rhombus.
    True. When the four sides of a parallelogram are congruent, then it is a rhombus.