Asked by Sheenybeany
Hi guys. I need a lot of help on this.
"Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor -2/3. Let K be the area of the region that is within both triangles. Find K/[ABC]."
How do you get a negative scale factor?
"Equilateral triangle ABC has centroid G. Triangle A'B'C' is the image of triangle ABC upon a dilation with center G and scale factor -2/3. Let K be the area of the region that is within both triangles. Find K/[ABC]."
How do you get a negative scale factor?
Answers
Answered by
Steve
a negative scale factor changes size, <b>and</b> reflects through the dilation center.
If it were positive, the whole reduced triangle would of course remain within ABC. But, by flipping through G as well as scaling, some of A'B'C' will lie outside of ABC.
If it were positive, the whole reduced triangle would of course remain within ABC. But, by flipping through G as well as scaling, some of A'B'C' will lie outside of ABC.
Answered by
Steve
So, did you get 11/27?