Con Triangle ABC with vertices A(0,0),
B(0,4), and C(3,0) is dilated to
form triangle ADE. What is the
E if D has coordinates
(0,6)?
106

The coordinates of E are .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

(1)

Where:

- Point of reference.

- Original point.

- Dilated point.

- Dilation factor.

By applying this operation, point B becomes point D:

,

Lastly, we transform point C into point E by applying the same operation: , and

The coordinates of E are .

i believe it's a.

i'm not sure on this one, most likely correct.