Question: Complete the perspectivity of the ranges on the lines $AB$ and $DF$ with centre $H$:
$ABF$ $\barwedge$ ?
I got $F$ as my first point but is lost after that. Need help. Also I was told to label my own lines on this picture
Asked
Active
Viewed 112 times
0
behold
- 403
1 Answers
1
The perspectivity $AB\to DF$ of center $H$ sends $A\mapsto I$, where $I=AH\cap DF$, $B\mapsto E$ and $F\mapsto F$, thus you have to complete $ABF\barwedge IEF$.
Fabio Lucchini
- 16,054
-
I see now but after that I have to use $IEF$ through the center point? – behold Aug 28 '17 at 20:01
-
Also how did you do that symbol? I could not input it correctly – behold Aug 28 '17 at 20:02
-
1The symbol $ABF \barwedge IEF$ (\barwedge) means that perspectivity of center $H$ sends the group $ABF$ into the group $IEF$. – Fabio Lucchini Aug 28 '17 at 20:04
-
One more thing, why it couldn't be $IEG$? $G$ falls on the same line as point F – behold Aug 28 '17 at 20:13
-
1No, becuase the point $G$ doesn't belongs to the line $DF$. – Fabio Lucchini Aug 28 '17 at 20:15