Proofs | The Proof Companion

Given: Parallelogram STAR, TK ⟂ SR and TL ⟂ AR

Prove: TS / TA = SK / AL

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∠S = ∠A

TS / TA = SK / AL

∠TKS = ∠TLA

The opposite sides and angles of a parallelogram are equal

Parallelogram STAR, TK ⟂ SR and TL ⟂ AR

AA similarity

Given

Definition

△TKS ~ △TLA

Statements

Reasons

All right angles are equal