Triangle J’K’L’ shown on the grid below is a dilation of triangle JKL using the origin as the center of dilation: Which scale factor was used to create triangle J’K’L?

A.) 4
B.) 1/4
C.) 2
D.) 1/2

Option (D)

Step-by-step explanation:

Coordinates of J, K and L are,

J(8, 12), K(4, 8) and L(12, 6)

Distance between two points and is given by the formula,

d =

Length of JK = =

                     =

Coordinates of the image triangle,

J'(4, 6), K'(2, 4) and L'(6, 3)

Length of J'K' = =

Scale factor =

                    =

                    =

Therefore, Option (D) will be the correct option.

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4