Question

1. the vertices of a triangle are as follows: (4,4), (6,7), and (8,0) if you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle? (12,12), (6,7), (24,3) (12,12), (18,21), (24,0) (4,12), (6,21), (8,0) (12,4), (18,7), (24,0)

Explanation:

Step1: Apply dilation formula

When dilating a point \((x,y)\) by a scale factor \(k\), the new point is \((kx,ky)\). Here \(k = 3\).
For the point \((4,4)\):
\((4\times3,4\times3)=(12,12)\)

Step2: For the point \((6,7)\)

\((6\times3,7\times3)=(18,21)\)

Step3: For the point \((8,0)\)

\((8\times3,0\times3)=(24,0)\)

Answer:

\((12,12),(18,21),(24,0)\) (the second option)