PQR has vertices at P(2, 4), Q(3, 8) and R(5, 4). A similarity transformation maps PQR to 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?
2 answers:
Use Pythagorean Theorem to calculate length of sides PQ = √(1^2 + 4^2) = √(17) QR = √(2^2 + 4^2) = √(20) RP = √(3^2 + 0^2) = √(9) AB = √(3.5^2 + 14^2) = √(208.25) BC = √(7^2 + 14^2) = √(245) CA = √(10.5^2 + 0^2) = √(110.25) A similarity transformation will maintain the relationship of sides: the smallest side of one triangle should correspond to the shortest side of the other triangle (and so on). Ratio of lengths (transformed/original) shortest with shortest CA/RP = √(110.25)/√(9) = 10.5/3 = 3.5 middle AB/PQ = √(208.25)/√(17) = √(208.25/17) = √(12.25) = 3.5 longest <span>BC/QR = √(245)/√(20) = √(12.25) = 3.5</span>
Answer:
3.5 is the correct answer just had question and it was correct
Step-by-step explanation:
You might be interested in
Answer:
using bodmas.
6-33=-27.
430+26=456.
456-27=429
923 rounded to the nearest hundred is 900. If the number was over 950 it would be 1,000 but since it was below is closer or nearest to 900
Answer:
step 2 subtraction 4 mulltiplecation
Step-by-step explanation:
4. because .s in math means multiplecation
2. because it hasmore subtraction singhns in the problem
If you add each cost together the price is 47.45 Hope this helps :)
The bottom left graph since it is the only one tp go through -3 and go up 3/4