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:
0
Step-by-step explanation:
4x4 + 32x - 28 = 0
The answer is A and B Because if you look closely it says trucks to SUV's It says truck first so the trucks would be 7 and the SUV's would be 2
Sam's bother is 23 years old
Answer:
Either way, it gives us the prime factorization for 50 that is 5 x 5 x 2. The prime factorization of 50 can be expressed using exponents as 5^2 x 2.
Step-by-step explanation:
Answer:
-1.5
Step-by-step explanation: