A dilation is a geometric transformation that can change the size of an object and can change the location of an object. Every dilation has a center and a ratio.
• A dilation that ,makes an object smalle,r is sometimes called a ,compression, or a ,contraction,.
To dilate the points of the exercise,
We only have to multiply the factor by the x and y positions of our points
[tex](0,0)_{}\to k(0,0)\to(0\cdot k,0\cdot k)\to(0,0)[/tex][tex]\begin{gathered} (0,0)\to OriginalPoint \\ (0,0)\to DilatingPoint \end{gathered}[/tex]
[tex](0,4)_{}\to k(0,4)\to(0\cdot k,4\cdot k)\to(0,4k)[/tex][tex]\begin{gathered} (0,4)_{}\to OriginalPoint \\ \mleft(0,4k\mright)\to DilatingPoint \end{gathered}[/tex]
[tex](10,4)_{}\to k(10,4)\to(10\cdot k,4\cdot k)\to(10k,4k)[/tex][tex]\begin{gathered} (10,4)\to OriginalPoint \\ (10k,4k)\to DilatingPoint_{} \end{gathered}[/tex]
If K is a value greater than 1, the triangle will have an increase in size, but if it is between 0 and 1, the triangle will decrease in size.
