Question

Doretta issues in choosing tiles for a mosaic in her kitchen. She wants to choose two tiles that are similar, but not congruent

A. Tile 1: Blue with white patterns
Tile 2: Blue with a different white pattern
B. Tile 1: Hexagonal shape with a floral design
Tile 2: Hexagonal shape with a geometric design
C. Tile 1: Earthy brown tone with textured surface
Tile 2: Earthy brown tone with a glossy finish
D. Tile 1: Square with a mosaic of small colorful pieces
Tile 2: Square with a mosaic of larger colorful pieces

Answer 1

The best choice for Doretta would be option B, which offers hexagonal-shaped tiles, one featuring a floral design and another featuring a geometric design, as they are similar in shape and concept but not congruent due to their different patterns.

Step-by-step explanation:

The student is asking for assistance in choosing two tiles that are similar but not congruent for a mosaic in their kitchen. A mosaic is an artwork made from small pieces of colored tile, stone, or glass, known as tesserae, which are combined to create a picture or pattern. These pieces are usually set in mortar and grout is applied to hold them firmly in place. Mosaics are known for their durability and can adorn walls, floors, and ceilings.

Out of the options provided, choice B is the best example of two tiles that are similar but not congruent. Both tiles are shaped as hexagons and both have some type of design on them. However, one features a floral design and the other features a geometric design. This makes them similar in shape and overall concept but different in pattern, which satisfies Doretta's criteria of being similar but not congruent.