1. ## Dilation

Under a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C(15,0). What is the scale factor for this dilation?

What is a dilation?

What is a scale factor?

2. Originally Posted by symmetry
Under a dilation, triangle A(0,0), B(0,4), C(6,0) becomes triangle A'(0,0), B'(0,10), C(15,0). What is the scale factor for this dilation?

What is a dilation?

What is a scale factor?
Hello,

a dilation is a transformation (projection(?)) with a centre of enlargement. (With your problem this centre is the point A = A') The rate of length of corresponding lines is constant: That's the scale factor.

$\displaystyle \frac{\overline{A'B'}}{\overline{AB}}=\frac{10}{4} =2.5$
$\displaystyle \frac{\overline{A'C'}}{\overline{AC}}=\frac{15}{6} =2.5$