Given:
The scale factor is 2.5.
Explanation:
a) To find the length of the longest side of the original figure:
From the graph, we observe that,
The length of the longest side of the original figure is 3.
Next, to find the length of the longest side of the final figure.
The length of the longest side of the final figure is 7.5.
b) To make the true statement:
As the scale factor 2.5,
The true statement is,
[tex]\text{The longest side of the final figure = 2.5 }\times\text{The longest side of the original figure }[/tex]
c) True (or) False:
The dilation with the positive scale factor greater than 1 gives the final figure smaller than the original figure is a false statement.
Because the dilation with the positive scale factor greater than 1 gives the final figure greater than the original figure.
d) True (or) False:
Since the size of the original and final figures are proportional and shapes are the same.
So, the figures are similar.
Thus, the statement is true.
