Question

PQ is a line segment. PX and QY are two segments draw on opposite sides of line segment PQ such that PX//QY and PX=QY. K P PQ and XY intersect each other at point O. Prove that: APOX = AQOY.​

Answer 1

Answer:

yes, pox ≅ qoy using asa congruency property

Step-by-step explanation:

angle pox=qoy )vertically opposite angles)(angle)

px =yq (given)(side)

angle pxo=angle qyo (alternate interior angles as px and qy are parallel )(angle)

therfore using asa property of congruency triangle pox ≅qoy