Question

In the diagram below, which distances would need to be the same in order for point A to be on the bisector of angle W? Explain why this is true. ​

Answer 1

PA = XA

Explanation:

Construction of an angle bisector,

1). Mark an arc from point W with the help of a compass which intersect lines WS and WZ at the points P and X respectively.

2). Marc two arcs of the same length form the points P and X which intersect each other at a point A.

3). Joint the points A and W.

Thus AW will be the angle bisector of angle PWX where PA = XA.

Therefore, distances PA and XA will be equal in measure.