Question

if cdef ≅ klmn, what are the congruent corresponding parts?
o a. sides: \\( \overline { c d } \cong \overline { l m } , \overline { d e } \cong \overline { k n } , \overline { e f } \cong \overline { k l } , \overline { c f } \cong \overline { m n } \\); angles: \\( \angle c \cong \angle n , \angle d \cong \angle m , \angle e \cong \angle k , \angle f \cong \angle l \\)
o b. sides: \\( \overline { c d } \cong \overline { k l } , \overline { d e } \cong \overline { l m } , \overline { e f } \cong \overline { m n } , \overline { c f } \cong \overline { k n } \\); angles: \\( \angle c \cong \angle k , \angle d \cong \angle l , \angle e \cong \angle m , \angle f \cong \angle n \\)
o c. side: \\( \overline { c d } \cong \overline { k n } , \overline { d e } \cong \overline { m n } , \overline { e f } \cong \overline { l m } , \overline { c f } \cong \overline { k l } \\); angles: \\( \angle c \cong \angle l , \angle d \cong \angle k , \angle e \cong \angle n , \angle f \cong \angle m \\)
o d. sides: \\( \overline { c d } \cong \overline { m n } , \overline { d e } \cong \overline { k l } , \overline { e f } \cong \overline { k n } , \overline { c f } \cong \overline { l m } \\); angles: \\( \angle c \cong \angle m , \angle d \cong \angle n , \angle e \cong \angle l , \angle f \cong \angle k \\)

Explanation:

Step1: Analizar la correspondencia de lados

Cuando \(CDEF\cong KLMN\), los lados correspondientes son:
\(\overline{CD}\cong\overline{KL}\), \(\overline{DE}\cong\overline{LM}\), \(\overline{EF}\cong\overline{MN}\), \(\overline{CF}\cong\overline{KN}\)

Step2: Analizar la correspondencia de ángulos

Los ángulos correspondientes son:
\(\angle C\cong\angle K\), \(\angle D\cong\angle L\), \(\angle E\cong\angle M\), \(\angle F\cong\angle N\)

Answer:

B. Sides: \(\overline{CD}\cong\overline{KL},\overline{DE}\cong\overline{LM},\overline{EF}\cong\overline{MN},\overline{CF}\cong\overline{KN}\); Angles: \(\angle C\cong\angle K,\angle D\cong\angle L,\angle E\cong\angle M,\angle F\cong\angle N\)