Question

question 19 of 25

rotational symmetry is the quality a design has if it maintains all characteristics when it is rotated about an axis lying in its plane.

a. true
b. false

Explanation:

Analyze the definition of rotational symmetry

Rotational symmetry of a two-dimensional design in a plane refers to rotating the design about a point (the center of rotation) perpendicular to its plane, not about an axis lying within its plane.

Evaluate the statement

Rotating a planar design about an axis lying in its plane is a reflection-like operation in three dimensions (often called a 180-degree rotation in 3D, which corresponds to reflectional symmetry or bilateral symmetry when viewed in 2D). Therefore, the statement is mathematically incorrect.

Answer:

• A. True
• B. False (Correct answer)