To perform a dilation about the origin with a scale factor of k, each coordinate (x, y) of a point is multiplied by k.
In this case, let's consider the dilation with a scale factor of k = 2.
For the point (0, 0), the dilation will just be (0, 0) because any point multiplied by 2 will still be at the origin.
For the point (18, 0), the x-coordinate is multiplied by 2, giving us (36, 0).
For the point (24, 30), both the x and y-coordinates are multiplied by 2, giving us (48, 60).
For the point (6, 30), the x-coordinate is multiplied by 2, giving us (12, 30).
Out of the given options, the point (12, 0) is a vertex of the image produced by the dilation about the origin with a scale factor of 2.
Therefore, the correct answer is D. (12, 0).
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 ?
A. (21 , 3)
B. (10 , 6)
C. (2 , 10)
D. (12 , 0)
1 answer