Answer:
a. See attachment 2
b. Scale factor is 1/4
Step-by-step explanation:
See attachment 1 for complete question
Given
Original
[tex]Height = 5[/tex]
[tex]Width = 10[/tex]
[tex]Center = 4[/tex]
Scaled Copy
[tex]Height = 1.25[/tex]
[tex]Width = 2.5[/tex]
[tex]Center = 1[/tex]
Solving (a): Corresponding Points & Sides
The corresponding points of the original copy to the scaled copy can be gotten by writing out the measurements as : (x,y)
Where x represents the original and y represents the scaled copy
Taking the height as a point
We have:
[tex]Height: (5,1.25)[/tex]
This will be represented as a dot or point.
A dot at the tip of the line representing height in the original and scaled copy can be colored green
And the width and center as sides
We have:
[tex]Width: (10,2.5)[/tex]
[tex]Center = (4,1)[/tex]
These will be represented by lines
For width:
Two lines representing width in the original and scaled copy respectively can be colored yellow
For center:
Two lines representing center in the original and scaled copy respectively can be colored red
See attachment
Solving (b): The scale factor
To solve for the scale factor, we simply divide the measurement of the scaled copy by the original copy
Recall that:
[tex]Height: (5,1.25)[/tex] , [tex]Width: (10,2.5)[/tex] and [tex]Center = (4,1)[/tex]
Using Height:
[tex]Scale\ Factor = \frac{1.25}{5}[/tex]
This gives:
[tex]Scale\ Factor = \frac{1}{4}[/tex]
For width:
[tex]Scale\ Factor = \frac{2.5}{10}[/tex]
This gives:
[tex]Scale\ Factor = \frac{1}{4}[/tex]
For the center:
[tex]Scale\ Factor = \frac{1}{4}[/tex]
Hence, the scale factor is 1/4
