# Transformation

• March 8th 2011, 02:35 PM
thamathkid1729
Transformation
Describe a transformation that carries the triangle with vertices (0
, 0), (13, 0), and (3, 2) onto the triangle with vertices (0, 0), (12, 5), and (2, 3). Where does your transformation send the point (6, 0)?

• March 8th 2011, 06:12 PM
skeeter
Quote:

Originally Posted by thamathkid1729
Describe a transformation that carries the triangle with vertices (0
, 0), (13, 0), and (3, 2) onto the triangle with vertices (0, 0), (12, 5), and (2, 3). Where does your transformation send the point (6, 0)?

after plotting the points, looks to me like a ccw rotation about the origin of magnitude

$\theta = \arctan\left(\dfrac{5}{12}\right)$

the point $(6,0)$ maps to coordinates $(6\cos{\theta},6\sin{\theta})$