Answer:
The dilation is twice the original form
Step-by-step explanation:
Given
Original Triangle = ABC
Dilated Image = A'B'C'
Required
Relationship between both
From the attached diagram;
[tex]AC = 5[/tex]
[tex]A'C' = 5 + AC[/tex]
This implies that
[tex]A'C' = 5 + 5[/tex]
[tex]A'C' = 10[/tex]
The relationship between a dilated image and its original form is;
[tex]Dilation = Scale\ factor * Original\ form[/tex]
Using AC and A'C';
Such that A'C" is the Dilation image of AC
[tex]A'C' = Scale\ factor * AC[/tex]
Replace AC an A'C' with their lengths
[tex]10 = Scale\ factor * 5[/tex]
Divide both sides by 5
[tex]\frac{10}{5} =\frac{ Scale\ factor * 5}{5}[/tex]
[tex]\frac{10}{5} =Scale\ factor[/tex]
[tex]Scale\ factor = \frac{10}{5}[/tex]
[tex]Scale\ factor = 2[/tex]
Hence, the dilation is twice the original form
