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?

The two tiles are not similar because segment PQ is to segment QR is 4 : 5 and segment JK is to segment LM is 2 : 1.

The two tiles are not similar because segment SP is to segment SR is 5 : 4 and segment MJ is to segment ML is 5 : 2.

The two tiles are similar because segment PQ is to segment Q

Answer 1

"PQ is to segment QR is 4 : 5 and segment JK is to segment LM is 2 : 1" means
\(\bf \cfrac{PQ}{QR}=\cfrac{4}{5}\quad ?\quad 4:5\qquad \cfrac{JK}{LM}=\cfrac{2}{1}\quad ?\quad 2:1\)

so test them, to see if that's so

Answer 2

It looks as though you didn't finish typing the whole problem.
"The two tiles are similar because segment PQ is to segment Q ... "
as segment AB is to segment CD?
It seems there's more to that last sentence.