Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k =

(x, y) →

By this rule coordinates of the image points of A and B will be,

A(8, 6) →

           → A'(5.3, 4)

B(12, 12) →

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of .

answer: a. 74

step-by-step explanation:

it shows divided evenly, so add the 37+37 = 74