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(8, 1), R(8, 5), and S(1, 5). Rectangle JKLM with vertices J(4, 1) , K(8, 1), L(8, 4) and M(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

Answer 1

@DanJS please help

Answer 2

draw these 2 rectangles out

Answer 3

thats the triangles

Answer 4

okay now the ratios of sides are equal of its similiar rectangles

Answer 5

so SP:SR has to be equal to MJ : ML

Answer 6

can u tell me the lengths of SP,SR,MJ,ML in that order

Answer 7

If it has to be equal to MJ, then is the answer A?

Answer 8

the ratios hace to be equal not the side lengths

Answer 9

go ahead and tell me the lengths of the sides now

Answer 10

lengths of SP,SR,MJ,ML in that order

Answer 11

(1,5) (1,1), (1,5) (8,5), (4,4) (4,1), (4,4) (8,4) I think. Im really not good that this stuff. :/

Answer 12

its okay, take yur time

Answer 13

at*

Answer 14

lets look at length of SP okay

Answer 15

ok

Answer 16

(1,5) and (1,1)?

Answer 17

yep okay, so what was the change in x and change in y

Answer 18

you mean like it changed from 5 to 1?

Answer 19

yes
so the first values are x, and the 2nd values are y

Answer 20

yes

Answer 21

okay so ill help u
(1,5) -- > (1,1)
the x change by 0 units
the y changed by 4 units

Answer 22

so the length of this line is jsut 4

Answer 23

right because it went fro 5 to 1 so obviously 4 lol i should've known that

Answer 24

lol its okay :)

Answer 25

try to see if u can tell me the lenghts of the other 3

Answer 26

ok so next is (1,5) and (8,5) so the x changed by 7 units and the y changed by 0 units?

Answer 27

right so what is this length of the line

Answer 28

7

Answer 29

yup now the other 2

Answer 30

the other length is 3

Answer 31

and then the last length is 4

Answer 32

yup so
the ratio of
SP:SR is 4:7
the ratio of
MJ:ML is ?

Answer 33

(these are the answers i left the last answer choice out lol sorry)

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.

Answer 34

mhm

Answer 35

its the last one, its for the reason u just found

Answer 36

we know the left one is 7:4, or 4:7 depending on which points u take in order
the right one is 4:3 or 3:4 depending on which points u take in order

Answer 37

the point is 7:4 is not equal to 4:3

Answer 38

the ratio of MJ:ML is ..1:3?

Answer 39

no julyah remember the lengths u told me

Answer 40

oh right sorry

Answer 41

so it's D?

Answer 42

u said mj was 3 and ml was 4

Answer 43

yes

Answer 44

yes so its 3:4

Answer 45

yup

Answer 46

wait no

Answer 47

oh nvm

Answer 48

and since its a rectangle u know the opposite sids are equal

Answer 49

so this is the answer 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.

Answer 50

sides*, so we dont have to do the same same process with the points

Answer 51

yup thats right

Answer 52

thanks so much for your help and having patience with me! lol

Answer 53

you're welcome :0