Question

need help will give brainliest

The vertices of a parallelogram are shown below

(0,0) (18,0) (24,30) (6,30)

Which of the following points is a vertex for the image produced by a dilation about the origin with a scale factor of 1/3?

A. (8,10)
B. (9,33)
C. (2,15)

Answer 1

The point A. (8, 10) is a vertex after scaling the original vertices.

Step-by-step explanation:

Step 1:

In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.

For the given parallelogram, the vertices are (0,0), (18,0), (24,30), and (6,30).

These are all the vertices before scaling.

To determine the vertices after scaling, we multiply the vertices with the scale factor of $\frac{1}{3} .$

Step 2:

(0, 0) after scaling will become $(\frac{1}{3} (0), \frac{1}{3}(0) )=$ (0, 0).

(18, 0) after scaling will become $(\frac{1}{3} (18), \frac{1}{3}(0) )=$ (6, 0).

(24, 30) after scaling will become $(\frac{1}{3} (24), \frac{1}{3}(30) )=$ (8, 10).

(6, 30) after scaling will become $(\frac{1}{3} (6), \frac{1}{3}(30) )=$ (2, 10).

Of these 4 points, option A is the answer as it is obtained after scaling (24, 30).