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properties are always true by dragging them to the right. not always tr…

Question

properties are always true by dragging them to the right.
not always true\talways true
all four sides are congruent
opposite sides are congruent
opposite sides are parallel
all four angles are congruent
opposite angles are congruent
diagonals are congruent
diagonals bisect each other
diagonals intersect at a right angle
diagonals bisect interior angles
sum of all angles equals 360°

Explanation:

Brief Explanations
  • Always True: These are properties that apply to all quadrilaterals or all parallelograms (the broadest common quadrilateral category with consistent parallel/side/angle rules).
  • Opposite sides are congruent: True for all parallelograms, which are the base category for most common quadrilaterals with parallel sides.
  • Opposite sides are parallel: Defining trait of parallelograms, a core quadrilateral type.
  • Opposite angles are congruent: A standard property of all parallelograms.
  • Diagonals bisect each other: True for all parallelograms.
  • Sum of all angles equals $360^\circ$: A universal property of all quadrilaterals, regardless of type.
  • Not Always True: These only apply to specific sub-types of quadrilaterals, not all.
  • All four sides are congruent: Only true for rhombuses/squares, not rectangles/trapezoids.
  • All four angles are congruent: Only true for rectangles/squares, not rhombuses/parallelograms.
  • Diagonals are congruent: Only true for rectangles/squares, not rhombuses/parallelograms.
  • Diagonals intersect at a right angle: Only true for rhombuses/squares, not rectangles/parallelograms.
  • Diagonals bisect interior angles: Only true for rhombuses/squares, not rectangles/parallelograms.

Answer:

Always True:

  • Opposite sides are congruent
  • Opposite sides are parallel
  • Opposite angles are congruent
  • Diagonals bisect each other
  • Sum of all angles equals $360^\circ$

Not Always True:

  • All four sides are congruent
  • All four angles are congruent
  • Diagonals are congruent
  • Diagonals intersect at a right angle
  • Diagonals bisect interior angles