A dilation of a point with a factor k is given by:
[tex](x,y)\rightarrow(kx,ky)[/tex]
In this case the dilation factor is ; which means that we need to multiply each component of the vertexes by two. After doing this we get the following graph for the original and final polygon:
From the figure we can answer the questions.
a)
Longest side length of the original figrue: 3 units
Longest side lenght of the final figure: 6 units.
b)
Longest side length of the final figure = 2 x Longest side length of the original figure.
c)
For a positive scale final figure is always bigger than the original one, therefore, the stament is False.
d)
Any dilation creates a similar figure since we are not changing the angles, only the lengths. Therefore the statement is True
