Question

1. choose the best answer.

if \\( \overline { a y } = 4 \\), what is the measure of \\( \overline { a c } \\)?
\\( \overline { a y } \cong \overline { y c } \\)
8
4
12
2

Explanation:

Step1: Use the property of congruent segments

Since \(\overline{AY}\cong\overline{YC}\), then \(AY = YC\). Given \(AY = 4\), so \(YC=4\).

Step2: Calculate the length of \(\overline{AC}\)

By the segment - addition postulate, \(AC=AY + YC\). Substitute \(AY = 4\) and \(YC = 4\) into the formula: \(AC=4 + 4\).

Answer:

\(8\)