Question

Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rectangle PQRS with vertices at P(1, 1), Q(7, 1), R(7, 5), and S(1, 5). Rectangle JKLM with vertices J(2 Which statement is correct? (1 point) The two tiles are similar because segment SR is to segment SP is 3 : 2 and segment ML is to segment MJ is also 3 : 2. The two tiles are not similar because segment PQ is to segment QR is 6 : 4 and segment JK is to segment KL is 9 : 8. The two tiles are not similar because segment SP is to segment SR is 4 : 7 and segment MJ is to segment ML is 2 : 3. The two tiles are similar because segment PQ is to segment QR is 6 : 5 and segment JK is to segment KL is also 6 : 5.

Answer 1

Answer:

Step-by-step explanation:

Since Kyra is using rectangular tiles of two types for a floor design. A tile of each type is shown below: Two rectangular tiles, rectangle PQRS with vertices at P(1, 1), Q(7, 1), R(7, 5), and S(1, 5). Rectangle JKLM with vertices J(2), our aim is to conclude which statement is correct? (1 point) The two tiles are similar because segment SR is to segment SP is 3 : 2 and segment ML is to segment MJ is also 3 : 2. The two tiles are not similar because segment PQ is to segment QR is 6 : 4 and segment JK is to segment KL is 9 : 8. The two tiles are not similar because segment SP is to segment SR is 4 : 7 and segment MJ is to segment ML is 2 : 3. The two tiles are similar because segment PQ is to segment QR is 6 : 5 and segment JK is to segment KL is also 6 : 5.

We know that SR = 6, SP = 4, ML = 9, MJ = 6.

Then:

$\frac{SR}{SP} = \frac{6}{4} =\frac{3}{2}$, the ratio is equal to 3 : 2.

$\frac{ML}{MJ} = \frac{9}{6} =\frac{3}{2}$, the ratio is also equal to 3 : 2.

Hence, our answer is "The two tiles are similar because segment SR is to segment SP is 3 : 2 and segment ML is to segment MJ is also 3 : 2"