Respuesta :

Answer:

  • use the HL postulate
  • corresponding angles are congruent; corresponding sides are congruent

Step-by-step explanation:

See below for the marking.

a) Marking the right triangles per the given information, we see that the hypotenuses and one leg are congruent. We can use the HL postulate of congruence to conclude the triangles are congruent.

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b) ∆CPS ≅ ∆WPD, so the following parts are congruent:

  • ∠C ≅ ∠W
  • ∠P (in ∆CPS) ≅ ∠P (in ∆WPD) — these are vertical angles
  • ∠S ≅ ∠D
  • CP ≅ WP
  • PS ≅ PD
  • CS ≅ WD
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