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Which statements below are ALWAYS TRUE about Rectangles? Choose ALL THAT APPLY.

- Diagonals are perpendicular

- Diagonals bisect each other in diagonals are equal in length

- Diagonals bisect each other, but they are NOT equal in length

- Opposite sides are congruent

- All four sides are congruent

- Diagonals bisect 90° angles

- Diagonals DO NOT bisect 90° angles

Respuesta :

3 Answers:

  • B) Diagonals bisect each other and diagonals are equal in length
  • D) The opposite sides are congruent
  • G) Diagonals do not bisect the 90 degree angles

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Explanation:

Let's go through the answer choices one by one

  • A) This is false. If the diagonals were perpendicular, then we would have a square. The diagonals are also perpendicular for any rhombus and for any kite. For any non-square rectangle, the diagonals are not perpendicular.
  • B) This is true. The diagonals bisect each other because we're dealing with a parallelogram. Any rectangle is a parallelogram. For any rectangle, the diagonals are equal in length as well. We can use SAS congruence theorem to prove this.
  • C) This is false. The first part is true, but the second part contradicts what choice B is saying.
  • D) This is true. The opposite sides of any rectangle are congruent, and they are parallel.
  • E) This is false. Imagine a really stretched out or elongated rectangle. So not all four sides of a rectangle are the same length. If they were, then we would have a square.
  • F) This is false. The diagonals do not bisect the angles unless we're dealing with a square. Again imagine stretching out a rectangle to make it very elongated.
  • G) This is true since choice F was false.
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Answer:

B, D, and G

Step-by-step explanation:

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