VTMO 2026 - Grade 8 - Semifinal - SET 10 - Self-study Question 15

Question 15

In parallelogram $ABCD$, diagonals meet at $O$. Let $E$ lie on $OD$, and let $F$ be the reflection of $C$ in $E$. Where must $E$ lie for $AFDE$ to be a parallelogram?

Question illustration

$DE=DO$
$DE=\frac23DO$
$DE=\frac12OE$
$DE=\frac12DO$
$DE=\frac13DO$