Question

Triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin. What are the coordinates of the image of point C prime?
On a coordinate plane, triangle A B C has points (1, 1), (1.5, 3), (2, 1).
(2, 4)
(4, 2)
(One-half, 1)
(1, one-half)

Answer 1

Answer: Second option.

Step-by-step explanation:

First it is important to remember the definition of Dilation.

A Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) and the Pre-Image (The original figure, before the transformation) have the same shape, but their sizes are different.

In this case you know that the triangle ABC is dilated by a scale factor of 2 with a center of dilation at the origin.

According to the exercise, the point C has these coordinates:

$C(2,1)$

Therefore, in order to find the coordinates of C', you need to multiiply the coordinates of the point C by the scale factor 2.

Then, you get that the coordinates of the point C' are:

$C'=(2*2,1*2)\\\\C'=(4,2)$