Question

Question attached, please help!

Answer 1

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

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.

`scale \: factor = ( |EC| )/( |AC| )`

Let us substitute the values to get:

`scale \: factor = (1)/(3 )`

When we trace through AD and EB, they will meet at C. Hence C(3,4) is the center of dilation.