8. Which statements describe properties of the diagonals of a rectangle ? I The diagonals are congruent . II The diagonfils are perpendicular . III The diagonals bisect each other. A) II and III, only B) I and II, only C) I and IIIonly D) I, II, and III

Respuesta :

I and III are always true: the diagonals of a rectangle are congruent, and they intersect at their midpoint.

Finally, the diagonals are perpendicular if and only if the rectangle is actually a square.

So, I and III are true for every rectangle, while II is true only for some rectangles.

The correct answer is option (c) I and  III only .

What is rectangle?

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square

How to solve this problem?

  • Statement I and III are always true: the diagonals of a rectangle are congruent, and they intersect at their midpoint.
  • The diagonals are perpendicular if and only if the rectangle is actually a square.
  • So, I and III are true for every rectangle, while II is true only for some rectangles

Therefore we can say that The diagonals are congruent & The diagonals bisect each other i.e the correct choice is option (c)

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