Question

A picture is to be mounted onto the board. Show that the picture and the board are not mathematically similar.

A) The picture and the board have the same dimensions.
B) The picture and the board have different shapes and sizes.
C) The picture is larger than the board.
D) The picture is smaller than the board.

Answer 1

The picture and the board are not mathematically similar because they have different shapes and sizes. A) The picture and the board having the same dimensions does not necessarily mean they are similar, as similarity is determined by both shape and size. B) Since the picture and the board have different shapes and sizes, it means they are not mathematically similar. C) If the picture is larger than the board, it also indicates that they are not mathematically similar. D) Similarly, if the picture is smaller than the board, they are not mathematically similar.

Step-by-step explanation:

The picture and the board are not mathematically similar because they have different shapes and sizes. A) The picture and the board having the same dimensions does not necessarily mean they are similar, as similarity is determined by both shape and size. B) Since the picture and the board have different shapes and sizes, it means they are not mathematically similar. C) If the picture is larger than the board, it also indicates that they are not mathematically similar. D) Similarly, if the picture is smaller than the board, they are not mathematically similar.