Triangle def is a dilation of triangle abc with center (0, 0). what is the scale factor?

Scale factor

The formula for the scale factor(k) with the origin is given by:

In the given figure,

triangle DEF is a dilation of a triangle ABC with center (0, 0)

Coordinates of image DEF are;

Also, coordinate of pre-image ABC are:

Now, using dilation rule to solve for k;

On comparing:

D(-6k, 3k) = D(-2, 1)

we get;

-6k = -2

Divide both sides by -6 we get;

Therefore, the scale factor(k) is,

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!