Question

declan draws triangle xyz. he then constructs a perpendicular bisector from vertex w that intersects side xy at point z. what can declan conclude based on his drawing? (1 point)
wx = zy
wz = yx
wy = zy
yz = xz

Explanation:

Step1: Recall the property of perpendicular bisector

A perpendicular bisector of a segment divides the segment into two equal parts.

Step2: Analyze the given situation

Since \(WZ\) is the perpendicular bisector of \(XY\), by the definition of a perpendicular bisector, it divides \(XY\) into two equal segments. So \(XZ = YZ\).

Answer:

\(YZ = XZ\)