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JeanaShupp

Answer:  A rhombus has order of rotational symmetry of 2

Step-by-step explanation:

We know that a geometric figure has rotational symmetry if it maps onto itself under rotation about an angle at its center.

The order of rotational symmetry is the number of times the geometric figure maps onto itself during a rotation of 360°.

[ At 180° and 360° it maps onto itself]

A  rhombus maps onto itself  two times during a rotation of 360°

Hence, A rhombus has order of rotational symmetry of 2.

BladeRunner212

The order is 2.

Further explanation

  • A rhombus has all sides equal length, or in other words, a rhombus is a quadrilateral with four similar sides.
  • The opposite sides are parallel.
  • Diagonals bisect in 90°.
  • The opposite pair of angles are the same, e.g., ∠A = ∠C and ∠B = ∠D on the ABCD rhombus.
  • A rhombus has two lines of symmetry. They are perpendicular to each other. The symmetry lines can also be said as the line of reflection symmetry.
  • The order of rotational symmetry for a rhombus is two.

Let's distinguish the rhombus with a kite.

  • Each rhombus is a kite.
  • Every quadrilateral that is both a kite and parallelogram is a rhombus.

The formula for the rhombic and kite area is as follows:

[tex]\boxed{\boxed{ \ Area = \frac{d_1 \times d_2}{2} \ }}[/tex]

  • d₁ = diagonal-1
  • d₂ = diagonal-2

Learn more

  1. The radian measure of the central angle https://brainly.com/question/2115496
  2. Undefined terms needed to define angles  https://brainly.com/question/3717797
  3. The coordinates of the image of the point B after the triangle are rotated 270° about the origin https://brainly.com/question/7437053

Keywords: what is the order of rotational symmetry for a rhombus, line, diagonals bisect, angle, perpendicular, quadrilateral, parallel, similar, kite, parallelogram, formula, corner

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