Question

Which pattern does not have translational symmetry?

A. repeating geometric black triangles and white triangles with black lines.
B. black and white abstract geometric quilt pattern with repeating squares.
C. repeating pattern of gold striped triangles inside hexagons against a white background.
D. square mosaic tile with a square in the center, outlined by a star, outlined by a square.

Answer 1

Option C - the repeating pattern of gold striped triangles inside hexagons against a white background - does not have translational symmetry.

Step-by-step explanation:

Translational symmetry refers to a pattern that repeats itself by sliding along a line. By analyzing the given options, option C - the repeating pattern of gold striped triangles inside hexagons against a white background - does not have translational symmetry. This is because the pattern cannot be slid along a line to create an identical pattern. In contrast, options A, B, and D all have repeating patterns that can be translated to create identical patterns.