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?

Answer 1

The two tiles are not similar because segment SP is to segment SR is 5 : 1 and segment MJ is to segment ML is 2 : 3.
The two tiles are similar because segment PQ is to segment QR is 1 : 3 and segment JK is to segment KL is also 1 : 3.
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 1 : 6 and segment JK is to segment KL is 1 : 3.

Answer 2

@ganeshie8 Can you please help me? :)

Answer 3

what are the dimensions of firsr tile ?

Answer 4

simply subtract x coordinates for width
and subtract y coordinates for height

Answer 5

um i don't remember this stuff.

Answer 6

look at the first tile : PQRS

what are the coordinates of points P and Q ?

Answer 7

2,2 4,2

Answer 8

P = (2, 2)
Q = (4, 2)

whats the difference in x coordinates ?

Answer 9

4 and 2

Answer 10

subtract

Answer 11

2

Answer 12

Yes, so width = PQ = 2

what about height ?

Answer 13

height = QR
what are the coordinates of Q and R ?

Answer 14

4,2 4,8

Answer 15

it would be 6

Answer 16

right?

Answer 17

Perfect! so the dimensions of first tile are :
width = 2
height = 6

Answer 18

similarly can you find the dimensions of second tile ?

Answer 19

3,3?

Answer 20

try again

Answer 21

whats the width of second tile ?

Answer 22

0,3?

Answer 23

how can the width be 0 ?

Answer 24

width of second tile = JK
what are the coordinates of JK ?

Answer 25

i meant 1, 3

Answer 26

Yes! for second tile
width = 1
height = 3

Answer 27

so width/height ratio is `1/3`

Answer 28

whats the width/height ratio for first tile ?

Answer 29

yeah, ohh and the 2/6 is reduced into 1/3 so the answer is B?

Answer 30

Yes! since the ratios are equal, the tiles are similar.

Answer 31

B is right!

Answer 32

Thank you so much!