Question

the triangles △bcd and △cbe are congruent. identify their common side or angle. the common part is

Explanation:

Step1: Analyze the sides and angles of triangles \( \triangle BCD \) and \( \triangle CBE \)

• For side \( \overline{BC} \): It is a side of both \( \triangle BCD \) (with vertices \( B\), \(C\), \(D\)) and \( \triangle CBE \) (with vertices \( B\), \(C\), \(E\)).
• For side \( \overline{BD} \): It is only a side of \( \triangle BCD \).
• For side \( \overline{CD} \): It is only a side of \( \triangle BCD \).
• For side \( \overline{BE} \): It is only a side of \( \triangle CBE \).
• For angle \( \angle CBE \): It is only an angle of \( \triangle CBE \).
• For angle \( \angle CBD \): It is only an angle of \( \triangle BCD \).
• For angle \( \angle BCD \): It is only an angle of \( \triangle BCD \).

Answer:

\(\overline{BC}\)