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 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.
I give you a formula to you answer to your self ! Please wait ...:)
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First we should find the lines ! We can use from it : (first look at the picture !)
To find the S we shold find them!
To find the line we should use this formula: \[\sqrt{(x1-x2)^2+(y1-y2)^2}\]
\[\sqrt{(5-1)^2-(8-8)^2}\]
=4 Then RQ = 4 = SP
Now finding the SR and PQ I just write answer = 7
Now S sRPQ = 7.5=35 !!!
So you can find the S of MLKJ from this way ! I just write the answer again . It s = 12
I say them to you know more ! Now you can use the formul and answer ! Remamber to know what are them are similar they should be have this : 1. Angles in 1=Angles in 2 2. Look :
If we have ABCD and EFGH :
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