Answer:
Triangle ABC is dilated is dilated with a scale factor of ⅓ with the center of dilation at the point (3,4) resulting in triangle DEC
Step-by-step explanation:
From triangle ABC,
|AC|=3 units
From triangle DEC,
|EC|= 1 unit
Since the two triangles are similar, we can find the scale factor using the ratio of the image length over the corresponding object length.
[tex]scale \: factor = \frac{ |EC| }{ |AC| } [/tex]
Let us substitute the values to get:
[tex]scale \: factor = \frac{1}{3 } [/tex]
When we trace through AD and EB, they will meet at C. Hence C(3,4) is the center of dilation.
