Vertex%C2%A0 %C2%A0of triangle%C2%A0 %C2%A0is located at%C2%A0 . A dilation of triangle%C2%A0 %C2%A0will result in the image%C2%A0 . If the dilation is centered at the origin and has a scale factor of , what are the coordinates of%C2%A0 %C2%A0?

Question

Vertex%C2%A0 %C2%A0of triangle%C2%A0 %C2%A0is located at%C2%A0 . A dilation of triangle%C2%A0 %C2%A0will result in the image%C2%A0 . If the dilation is centered at the origin and has a scale factor of  , what are the coordinates of%C2%A0 %C2%A0?

GPT-4o mini · Answer

To determine the coordinates of the vertices of a triangle after a dilation centered at the origin, you can use the formula for dilation. The dilation formula is:

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

where \((x, y)\) are the original coordinates of the vertex, \((x', y')\) are the new coordinates after dilation, and \(k\) is the scale factor.

If you provide the original coordinates of the triangle's vertices and the scale factor, I can help you calculate the dilated coordinates. Please specify those values, and I'll be able to assist further!