Question

Please get help with this for I have tried many times to get the correct answers for each but still could not

Answer 1

A dilation of a point with a factor k is given by:

`(x,y)\rightarrow(kx,ky)`

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