Question

what is the correct notation for this figure? x y zy xy xyz

Explanation:

Step1: Understand the figure

The figure shows a line with two points \(X\) and \(Y\) on it, and arrows on both ends indicating it extends infinitely in both directions.

Step2: Recall line notation

A line is denoted by two points on the line with a double - headed arrow above them. Since the points in the figure are \(X\) and \(Y\), the notation is \(\overleftrightarrow{XY}\). The option \(\overleftrightarrow{ZY}\) uses incorrect points (the points in the figure are \(X\) and \(Y\), not \(Z\) and \(Y\)), and \(XYZ\) is not the correct notation for a line (a line with two points is denoted with two letters and the double - headed arrow).

Answer:

\(\overleftrightarrow{XY}\)