Question

multiple choice 1 point a triangle with vertices at a(2,3), b(4,3) and c(2,6) is dilated by a scale factor of 2 with the center of dilation at the origin. what are the coordinates of the image of c? (1,3) (0,12) (4,12) (2,12) clear my selection previous next

Explanation:

Step1: Recall the dilation formula

When a point \((x,y)\) is dilated with a scale factor \(k\) and center of dilation at the origin \((0,0)\), the formula for the image of the point is \((kx,ky)\).

Step2: Apply the formula to point \(C(2,6)\)

Here, \(x = 2\), \(y=6\) and \(k = 2\).
Using the formula \((kx,ky)\), we substitute the values:
For the \(x\) - coordinate: \(k\times x=2\times2 = 4\)
For the \(y\) - coordinate: \(k\times y=2\times6 = 12\)

Answer:

\((4,12)\)