Can anyone help me with this task? I have no idea how to start.
From the top $B$ of a parallelogram $ABCD$ lowered the vertical $BP$ and $BQ$ on the directions of $AD$ and $CD$ . From the top
$D$ parallelogram $ABCD$ lowered the vertical $DR$ and $DS$ on the lines $BC$ and $AB$ . Prove that $\triangle DSR$ and $\triangle PBQ$ are similar .
2026-04-28 17:53:35.1777398815
similar triangle problem in parallelogram with vertical lines
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1
$DS||BQ$ and $DR||BP \Rightarrow \angle PBQ= \angle RDS (1)$
$DP=BR, DQ=BS, \angle D = \angle B \Rightarrow \triangle QDP = \triangle SBR \Rightarrow PQ||SR$
$PQ||SR, BP||DR \Rightarrow \angle BPQ= \angle DRS (2) $
(1) and (2) $\Rightarrow \triangle PBQ \sim \triangle RDS$