Question

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below.

Which statement is correct?
A.) The two tiles are similar because is 1 : 3 and is also 1 : 3.
B.) The two tiles are similar because is 3 : 2 and is also 3 : 2.
C.) The two tiles are not similar because is 1 : 6 and is 1 : 3.
D.) The two tiles are not similar because is 5 : 1 and is 2 : 3.

Answer 1

A.) The two tiles are similar because is 1 : 3 and is also 1 : 3.

Explanation:

If you can calculate the sides of each tile you can get the ratio from the base to the height, in this case the side j-k measures 1 unit, and the side J-M measures 3, in this case the aspect ratio is 3:1.

And in the second tile the side P-Q is 2 units long, and the side P-S is 6 units long, now the aspect ratio would be: 6:2, if you reduce this it´d be 3:1.

Since both have an aspect ratio of 3:1 they are similar.

Answer 2

"The two tiles are similar because is 1 : 3 and is also 1 : 3" is the one statement among the following choices given in the question that is correct. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.