Given: Parallelogram STAR, TK is perpendicular to SR and TL is perpendicular to AR

Prove: TS / TA = SK / AL

Given
<S = <A
Parallelogram STAR, TK and TL perpendicular to SR and AR
AA similarity
<TKS = <TLA
The opposite sides and angles of a parallelogram are equal
TS / TA = SK / AL
Definition
Triangle TKS ~ Triangle TLA
All right angles are equal