Question

1. it is known that ( \triangle defcong\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: Relacionar \(SR\) con \(EF\)

\(SR = EF\) (lados correspondientes de triángulos congruentes). Dado que \(EF = 11\), entonces \(SR=11\).

Answer:

(3) 11