Question

finding the vertex from the pre - image
the rule for the dilation of quadrilateral qrst to the image qrst is ( d_{o,0.5}(x,y)\to(0.5x,0.5y) ).
what are the coordinates of q, if ( q(0,2) )?
( (square,square) )

Explanation:

Step1: Substitute the x - coordinate

Given the dilation rule \(D_{O,0.5}(x,y)\to(0.5x,0.5y)\) and \(Q(0,2)\). For the x - coordinate of \(Q'\), substitute \(x = 0\) into \(0.5x\). So, \(0.5\times0=0\).

Step2: Substitute the y - coordinate

For the y - coordinate of \(Q'\), substitute \(y = 2\) into \(0.5y\). So, \(0.5\times2 = 1\).

Answer:

\((0,1)\)