Question

question 7 (multiple choice worth 2 points) (transformations mc) which figure has an order of rotational symmetry equal to 4? equilateral triangle rectangle square regular pentagon

Explanation:

Step1: Recall rotational - symmetry concept

The order of rotational symmetry of a regular polygon is equal to the number of its sides. For a non - regular polygon, we check how many times it looks the same during a full 360 - degree rotation.

Step2: Analyze each option

• An equilateral triangle has 3 sides. The order of its rotational symmetry is 3 since it looks the same 3 times during a 360 - degree rotation.
• A rectangle has an order of rotational symmetry of 2. It looks the same when rotated by 180 degrees and 360 degrees.
• A square has 4 sides. When rotated by 90 degrees, 180 degrees, 270 degrees, and 360 degrees, it looks the same. So the order of its rotational symmetry is 4.
• A regular pentagon has 5 sides. The order of its rotational symmetry is 5 as it looks the same 5 times during a 360 - degree rotation.

Answer:

Square