Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rect
angle PQRS with vertices at P 1, 1. Q is at 8, 1. R is at 8, 5. S is at 1, 5. Rectangle JKLM with vertices J at 4, 1. K is at 8, 1. L is at 8, 4. M is at 4, 4. Which statement is correct? The two tiles are not similar because segment SP is to segment SR is 4:7 and segment MJ is to segment ML is 1:3. The two tiles are similar because segment PQ is to segment QR is 4:3 and segment JK is to segment KL is also 4:3. The two tiles are similar because segment SR is to segment ML is 7:4 and segment PQ is to segment JK is also 7:4. The two tiles are not similar because segment PQ is to segment QR is 7:4 and segment JK is to segment KL is 4:3.
From the given figure, the length of segment SP is 5 - 1 = 4, the length of segment SR is 8 - 1 = 7, the length of segment QR is 5 - 1 = 4, the length of segment PQ is 8 - 1 = 7.
The length of segment MJ is 4 - 1 = 3, the length of segment ML is 8 - 4 = 4 the length of segment KL is 4 - 1 = 3 the length of segment JK is 8 - 4 = 4
<span>segment SP to segment SR is 4 : 7 </span><span>segment MJ to segment ML is 3 : 4 </span> <span>segment PQ to segment QR is 7 : 4 </span>segment JK to segment KL is 4 : 3
Because the ratio of any corresponding segments of the two rectangles to another segment is not equal, the two rectangles are not similar.
Therefore, the correct statement is "<span>The two tiles are not similar because segment PQ is to segment QR is 7:4 and segment JK is to segment KL is 4:3"</span>