Triangle pqr has vertices at p(2, 4), q(3, 8) and r(5, 4). a similarity transformation maps triangle pqr to triangle abc, whose vertices are a(2, 4), b(5.5, 18), and c(12.5, 4). what is the scale factor of the dilation in the similarity transformation? a. 2 b. 2.5 c. 4 d. 3.5

 The correct option is (d) 3.5.

Step-by-step explanation:  Given that triangle PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A similarity transformation maps triangle PQR to triangle ABC, whose vertices are A(2, 4), B(5.5, 18), and C(12.5, 4).

We are to find the scale factor of the similarity transformation.

Scale factor of a dilation is defined as

In ΔABC and ΔPQR, the corresponding side of BC is QR.

Now, the lengths of the sides QR and BC are calculated using the distance formula as follows:

Therefore, the sale factor of dilation from ΔPQR to ΔABC is

Thus, the required scale factor is 3.5.

Option (d) is correct.

you can not drow on this

step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.