Answer:
The point at (-7, -5) = a
The point at (9, 3) = b
The point at (-3, 7) = c
The "a" point of the triangle is 12 units away from the center point.
So, 12 x 1/4
=> 12/4
=> 3
So, the "a" point of the dilated figure is 3 units left from the center.
=> So, the dilated "a" point is at (2, -5)
The "b" point is 8/4 (= rise/run = y-axis / x-axis) from the center point.
=> 8/4 = 2
So, the "b" point of the dilated figure is 1 unit right and 2 units up from the center point.
=> So, the dilated "b" point is at (6, -3)
The "c" point is 12/8 units away from the center point.
=> 12/8 x 1/4
=> 3/2
So, the "c" point of the dilated figure is 3 units up and 2 units left from the center point.
=> So, the dilated "c" point is at (3, -2)
The coordinates after the dilation of 1/4 are A'(2,-5), B'(6,-3), and C'( 3,-2) and this can be determined by using the given data.
Given :
The following steps can be used in order to determine the graph the image of the figure after a dilation with a scale factor of 1/4 centered at (5, -5):
Step 1 - According to the given graph, the coordinates of the triangle are A(-3,7), B(-7,-5), and C(9,3).
Step 2 - According to the given data, the dilation factor is 1/4.
Step 3 - The distance of the center from point A is 12 units.
[tex]=\dfrac{1}{4}\times 12[/tex]
= 3
So, A'(2,-5).
Step 4 - The distance of the center from point B is 8 units.
[tex]=\dfrac{1}{4}\times 8[/tex]
= 2
So, B'(6,-3).
Step 5 - The distance of the center from point C is 12/8 units.
[tex]=\dfrac{1}{4}\times \dfrac{12}{8}[/tex]
[tex]=\dfrac{3}{2}[/tex]
So, C'( 3,-2).
For more information, refer to the link given below:
https://brainly.com/question/2856466
