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Let G be the center of equilateral triangle XYZ. A dilation centered at G with a scale factor \(-\frac{2}{3}\) is applied to triangle XYZ, to obtain triangle X'Y'Z'. Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z'. Find \(\frac{A}{[XYZ]}\).

 

So far all I have done is draw a diagram (one triangle facing up, another triangle facing down making it look like a star). 

 

Any ideas on how to proceed after this? Which areas can I try and calculate to try and solve this problem?

 Nov 4, 2020
 #1
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Here's a link:    https://web2.0calc.com/questions/help_54234

 Nov 4, 2020
 #2
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Thanks!

xCorrosive  Nov 4, 2020

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