Question

1. it is known that \\( \triangle def \cong \triangle qrs \\). if \\( de = 5 \\), \\( df = 14 \\), and \\( ef = 11 \\), then which of the following is the length of \\( \overline{sr} \\)?

(1) 5
(2) 7
(3) 11
(4) 14

Explanation:

Step1: Identificar lados correspondientes

Como \(\triangle DEF\cong\triangle QRS\), los lados correspondientes son iguales. \(DE\) corresponde a \(QR\), \(EF\) a \(RS\) y \(DF\) a \(QS\).

Step2: Determinar longitud de \(SR\)

Dado que \(EF = 11\) y \(EF\cong SR\) (por congruencia de triángulos), entonces \(SR=11\).

Answer:

C. 11