Q(3, -6) R(3, 12) S(12, 3) > Q'(1, -2) R'(1,4) S'(4,1) QRS is dilated to form Triangle Q'R'S'. By the given coordinate points, what scale factor was used to form Triangle Q'R'S'?

Scale factor =

Step-by-step explanation: In a dilation, a geometric figure can be bigger or smaller than the original. In the case of triangles QRS and Q'R'S', the second is smaller than the first.

This means, the scale factor which forms triangle Q'R'S' is a fraction.

Comparing Q and Q', we noticed that Q' is a 3rd of Q, i.e.:

Q(3,-6)

x = 3

y = 6

x' = = 1

y'= = -2

Therefore, the scale factor used to form triangle Q'R'S' is

b is the answer that makes most sense

step-by-step explanation:

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!