In the rhombus PQRS, SQ is an altitude and ST ? SP . Prove that TQRS is an isosceles trapezoid.
(Outline) TQ // SR (Given). US ? US (Identity), ?PUS ? ?TUS (HL), ?STU ? ?SPU
(C.P.), ?SPU ? ?RQS (Corresponding angles), ?STU ? ?RQS (transitive), therefore TQRS is an isosceles trapezoid since its base angles are congruent.
Mathematics
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