Respuesta :

Answer:

AB=PQ (given)
ABO=POQ (alternate angles)

Step-by-step explanation:

AB=PQ (given)
ABO=POQ (alternate angles)
but i lose to find AO=OQ and BO=OP

mhanifa

Given:

  • AB ║ PQ,
  • AB = PQ.

Since AB and PQ are parallel and AQ is transversal:

  • ∠BAQ ≅ ∠PQA as alternate interior angles.

Since AB and PQ are parallel and BP is transversal:

  • ∠ABP ≅ ∠QPB as alternate interior angles.

This gives us:

  • ΔABO ≅ ΔQPO as per ASA (angle-side-angle)

Since the triangles are congruent, their corresponding sides are congruent too:

  • AO = OQ,
  • BO = OP

Otras preguntas