Respuesta :

mhanifa

Step-by-step explanation:

Given:

  • ∠3 ≅ ∠4
  • BX ≅ AY
  • BW ≅ AZ

Prove:

  • ΔWTZ is isosceles

Solution:

m ∠WBX = 180° - m ∠3

m ∠ZAY = 180° - m ∠4

  • ∠WBX ≅ ∠ZAY as ∠3 ≅ ∠4 and 180° - m ∠3 = 180° - m ∠4
  • BX ≅ AY, given
  • BW ≅ AZ, given

ΔWBX ≅ ΔZAY as per SAS postulate

∠W ≅ ∠Z as corresponding angles of congruent triangles

As per above the triangle WTZ is isosceles

Otras preguntas