Triangle abc has vertices a(5, 3) , b(3, 7) , and c(1, 4) . triangle abc is dilated, and the vertices of the image are a′(2.5, 1.5) , b′(1.5, 3.5) , and c′(0.5, 2) . the center of dilation is the origin. what is the scale factor of the dilation? 0.25 0.5 2 4

First step is to get rid of the square root. remember that a square root is the same as raising to the (1/2) power. see below: multiply exponents per exponent rules to get: remember you subtract exponents from the denominator and add exponents in the numerator so: simplify further: so a is the correct choice. if you don't understand this google exponent rules and it will you understand. look at the image results.