which of these characteristics do a rhombus and a rectangle always have in common?

A. all angles are right angles

B. opposite sides with equal length

C. all sides with equal lenght ​

Respuesta :

Answer: A rectangle has 2 pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. A rhombus is defined as a parallelogram with four equal sides, which also has 2 pairs of opposite parallel sides.

Step-by-step explanation:

The characteristics a rhombus and a rectangle always have in common is opposite sides with equal length.

The right option is B. opposite sides with equal length

From the question,

We are to determine which of the given characteristics do a rhombus and a rectangle always have in common.

To determine which of the characteristics, we will list some of the characteristics of the two shapes

Characteristics of a Rhombus

  • All sides are of equal length
  • Opposite sides are parallel
  • Opposite angles are congruent
  • Diagonals intersect perpendicularly
  • Consecutive angles are supplementary

Characteristics of a Rectangle

  • Opposite sides are congruent and parallel
  • Diagonals bisect each other
  • Each of the interior angles is a right angle
  • Diagonals are congruent

Now, from above,

We have that all the sides of rhombus are equal in length, which makes the opposite sides to be equal as well.

Also, among the characteristics of a rectangle is that, opposite sides are equal in length

Hence, the characteristics a rhombus and a rectangle always have in common is opposite sides with equal length. The right option is B. opposite sides with equal length

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