Answer:
Scale Factor = 0.75
Step-by-step explanation:
The dilated object (image) has coordinates given as:
X' (-6, -1.5)
Y' (0, -4.5)
Z' (-9, -9)
The coordinates of the object (the initial) as read from the graph are given by:
X (-8, -2)
Y(0, -6)
Z (-12, -12)
To get the scale factor, we will compare the coordinates of the image to the initial object.
Kindly note that the image is the triangle in red
while the object is the triangle in black
Comparing the X' and X coordinates
[tex]for \: the \: x - coordinte \\ \\ \frac{ - 6}{ - 8} = \frac{3}{4} \\ \\ for \: the \: y - \:coordinate \\ \\ \frac{ - 1.5}{ - 2} = \frac{3}{4} [/tex]
Similarly, if we compare Y' and Y and also Z' and Z
The scale factor is:
[tex]scale \: factor \: = \frac{3}{4} = 0.75[/tex]
