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classify this quadrilateral. parallelogram square equilateral trapezoid

Question

classify this quadrilateral. parallelogram square equilateral trapezoid

Explanation:

Step1: Recall definitions

  • A parallelogram has two pairs of parallel sides.
  • A square has four equal sides and four right angles.
  • An equilateral is not a quadrilateral type (equilateral usually refers to a triangle with all sides equal).
  • A trapezoid has only one pair of parallel sides.

Step2: Analyze the figure

The given quadrilateral has two pairs of parallel sides (as indicated by the markings for equal - length opposite sides, which is a property of parallelograms; in a parallelogram, opposite sides are equal and parallel). It does not have four right angles (so not a square) and has two pairs of parallel sides (not a trapezoid).

Answer:

Parallelogram