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for each of the following quadrilaterals, select all the properties tha…

Question

for each of the following quadrilaterals, select all the properties that must be true.
all sides congruent\tfour right angles\ttwo pairs of parallel sides\tonly one pair of parallel sides
(a) square
(b) parallelogram
(c) rhombus

Explanation:

Brief Explanations
  • Square: A square is a special quadrilateral with all sides equal, four 90-degree angles, and two pairs of parallel opposite sides; it never has only one pair of parallel sides.
  • Parallelogram: By definition, it has two pairs of parallel opposite sides. It does not require all sides to be congruent nor all angles to be right angles, and it cannot have only one pair of parallel sides.
  • Rhombus: A rhombus has all sides congruent and two pairs of parallel opposite sides, but its angles are not necessarily right angles, and it does not have only one pair of parallel sides.

Answer:

All sides congruentFour right anglesTwo pairs of parallel sidesOnly one pair of parallel sides
(b) Parallelogram
(c) Rhombus