which figure has the same order of rotational symmetry as a rectangle?\nisosceles trapezoid\nregular…

which figure has the same order of rotational symmetry as a rectangle?\nisosceles trapezoid\nregular octagon\nsquare\nrhombus

which figure has the same order of rotational symmetry as a rectangle?\nisosceles trapezoid\nregular octagon\nsquare\nrhombus

Answer

Explanation:

Step1: Recall the order of rotational symmetry of a rectangle

A rectangle has an order of rotational symmetry of (2). It looks the same when rotated by (180^{\circ}).

Step2: Analyze each option

  • Isosceles trapezoid: It has an order of rotational symmetry of (1).
  • Regular octagon: The order of rotational symmetry of a regular octagon is (8) (since (360\div45 = 8), where (45^{\circ}) is the angle of rotation).
  • Square: The order of rotational symmetry of a square is (4) ((360\div90=4)).
  • Rhombus: A rhombus has an order of rotational symmetry of (2). It looks the same when rotated by (180^{\circ}).

Answer:

rhombus