Question

If I dilate triangle ABC by a scale factor of 4:with the center at the origin will the answer be 6,-8.
A= 3, -4

Answer 1

To dilate triangle ABC by a scale factor of 4 with the center at the origin, you multiply each coordinate of the triangle's vertices by the scale factor.

Given point A with coordinates (3, -4), the dilation is calculated as follows:

\[
A' = (x \cdot k, y \cdot k)
\]
where \(k\) is the scale factor.

For point A (3, -4):
\[
A' = (3 \cdot 4, -4 \cdot 4) = (12, -16)
\]

So, after dilation, point A will be at (12, -16).

If you are referring to a point with coordinates (6, -8), that is not the dilation of point A. The point resulting from dilating A by a factor of 4 is (12, -16).

If you have other vertex coordinates to dilate, please provide them and I can calculate those as well!

Answer 2

I'm sorry I gave you the wrong scale factor, it's 2 not 4

Answer 3

No problem! Let's perform the dilation of triangle ABC with a scale factor of 2, centered at the origin, for point A with coordinates (3, -4).

Using the dilation formula:

\[
A' = (x \cdot k, y \cdot k)
\]

where \(k\) is the scale factor (in this case, \(k = 2\)).

For point A (3, -4):

\[
A' = (3 \cdot 2, -4 \cdot 2) = (6, -8)
\]

So the dilated coordinates of point A are indeed (6, -8).

If you have other points of the triangle to dilate, feel free to share!