Online Course Discussion Forum

MCIII Geo Help 2.15 and 2.16

 
 
ZuoMichael的头像
MCIII Geo Help 2.15 and 2.16
ZuoMichael - 2022年09月30日 Friday 18:18
 

I'm stuck on 2.15 and 2.16. For 2.15, I did some translations and boundary cases but I got nowhere. For 2.16, I tried some rotations and also went nowhere.

 
WangDr. Kevin的头像
Re: MCIII Geo Help 2.15 and 2.16
WangDr. Kevin - 2022年10月1日 Saturday 20:52
 

Review Example 2 under "Reflection".  For 2.15, to minimize sum of the segments, you want to reflect them so that the straight line can be drawn.

For 2.16, reflect the point $P$ across the center $O$ to point $P'$, then $CP^2+DP^2 = CP^2+CP'^2$. Then find out about the relation among $CP$, $CP'$, $OC$, and $OP$.