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which quadrilateral has equal diagonals select one: ○ a. trapezoid ○ b.…

Question

which quadrilateral has equal diagonals
select one:
○ a. trapezoid
○ b. rhombus
○ c. parallelogram
○ d. rectangle

a square is ________ a parallelogram
select one:
○ a. always
○ b. never
○ c. sometimes

Explanation:

Brief Explanations

For the first question: A trapezoid only has one pair of parallel sides and its diagonals are not always equal; a rhombus has equal sides but its diagonals are perpendicular, not equal; a general parallelogram has bisecting diagonals but they are not equal; a rectangle's diagonals are both equal and bisect each other.
For the second question: A square has two pairs of parallel sides and meets all the criteria of a parallelogram (opposite sides parallel and equal, opposite angles equal, diagonals bisect each other), so it is always a parallelogram.

Answer:

  1. d. rectangle
  2. a. always